User Inputs

output.var = params$output.var 

transform.abs = FALSE
log.pred = params$log.pred
norm.pred = FALSE
algo.forward.caret = params$algo.forward.caret
algo.backward.caret = params$algo.backward.caret
algo.stepwise.caret = params$algo.stepwise.caret
algo.LASSO.caret = params$algo.LASSO.caret
algo.LARS.caret = params$algo.LARS.caret
message("Parameters used for training/prediction: ")
## Parameters used for training/prediction:
str(params)
## List of 7
##  $ output.var         : chr "y3"
##  $ log.pred           : logi TRUE
##  $ algo.forward.caret : logi TRUE
##  $ algo.backward.caret: logi TRUE
##  $ algo.stepwise.caret: logi TRUE
##  $ algo.LASSO.caret   : logi TRUE
##  $ algo.LARS.caret    : logi TRUE
# Setup Labels
output.var.tr = if (log.pred == TRUE)  paste0(output.var,'.log') else  output.var.tr = output.var

Loading Data

feat  = read.csv('../../Data/features_highprec.csv')
labels = read.csv('../../Data/labels.csv')
predictors = names(dplyr::select(feat,-JobName))
data.ori = inner_join(feat,labels,by='JobName')
#data.ori = inner_join(feat,select_at(labels,c('JobName',output.var)),by='JobName')

Data validation

cc  = complete.cases(data.ori)
data.notComplete = data.ori[! cc,]
data = data.ori[cc,] %>% select_at(c(predictors,output.var,'JobName'))
message('Original cases: ',nrow(data.ori))
## Original cases: 10000
message('Non-Complete cases: ',nrow(data.notComplete))
## Non-Complete cases: 3020
message('Complete cases: ',nrow(data))
## Complete cases: 6980
summary(dplyr::select_at(data,c('JobName',output.var)))
##       JobName           y3        
##  Job_00001:   1   Min.   : 95.91  
##  Job_00002:   1   1st Qu.:118.29  
##  Job_00003:   1   Median :124.03  
##  Job_00004:   1   Mean   :125.40  
##  Job_00007:   1   3rd Qu.:131.06  
##  Job_00008:   1   Max.   :193.73  
##  (Other)  :6974

Output Variable

The Output Variable y3 shows right skewness, so will proceed with a log transformation

Histogram

df=gather(select_at(data,output.var))
ggplot(df, aes(x=value)) + 
  geom_histogram(aes(y=..density..),bins = 50,fill='light blue') + 
  geom_density() 

  #stat_function(fun = dnorm, n = 100, args = list(mean = mean(df$value), sd = sd(df$value)))  

QQPlot

ggplot(gather(select_at(data,output.var)), aes(sample=value)) + 
  stat_qq() + 
  facet_wrap(~key, scales = 'free',ncol=4)

Trasformation of Output Variable from y3 to y3.log

if(log.pred==TRUE) data[[output.var.tr]] = log(data[[output.var]],10) else
  data[[output.var.tr]] = data[[output.var]]
df=gather(select_at(data,c(output.var,output.var.tr)))
ggplot(df, aes(value)) + 
  geom_histogram(aes(y=..density..),bins = 50,fill='light blue') + 
  geom_density() + 
  # stat_function(fun = dnorm, n = 100, args = list(mean = mean(df$value), sd = sd(df$value)))  
  facet_wrap(~key, scales = 'free',ncol=2)

ggplot(gather(select_at(data,c(output.var,output.var.tr))), aes(sample=value)) + 
  stat_qq() + 
  facet_wrap(~key, scales = 'free',ncol=4)

Best Normalizator y3

Normalization of y3 using bestNormalize package. (suggested orderNorm) This is cool, but I think is too far for the objective of the project

t=bestNormalize::bestNormalize(data[[output.var]])
t
## Best Normalizing transformation with 6980 Observations
##  Estimated Normality Statistics (Pearson P / df, lower => more normal):
##  - No transform: 2.9491 
##  - Box-Cox: 1.4149 
##  - Log_b(x+a): 1.9707 
##  - sqrt(x+a): 2.385 
##  - exp(x): 749.5512 
##  - arcsinh(x): 1.9705 
##  - Yeo-Johnson: 1.1284 
##  - orderNorm: 1.0815 
## Estimation method: Out-of-sample via CV with 10 folds and 5 repeats
##  
## Based off these, bestNormalize chose:
## orderNorm Transformation with 6980 nonmissing obs and no ties 
##  - Original quantiles:
##      0%     25%     50%     75%    100% 
##  95.913 118.289 124.030 131.059 193.726
qqnorm(data[[output.var]])

qqnorm(predict(t))

orderNorm() is a rank-based procedure by which the values of a vector are mapped to their percentile, which is then mapped to the same percentile of the normal distribution. Without the presence of ties, this essentially guarantees that the transformation leads to a uniform distribution

Predictors

All predictors show a Fat-Tail situation, where the two tails are very tall, and a low distribution around the mean. The orderNorm transformation can help (see [Best Normalizator] section)

Interesting Predictors

Histograms

cols = c('x11','x18','stat98','x7','stat110')
df=gather(select_at(data,cols))
ggplot(df, aes(value)) + 
  geom_histogram(aes(y=..density..),bins = 50,fill='light blue') + 
  geom_density() + 
  # stat_function(fun = dnorm, n = 100, args = list(mean = mean(df$value), sd = sd(df$value)))  
  facet_wrap(~key, scales = 'free',ncol=3)

# ggplot(gather(select_at(data,cols)), aes(sample=value)) + 
#   stat_qq()+
#   facet_wrap(~key, scales = 'free',ncol=2)

lapply(select_at(data,cols),summary)
## $x11
##      Min.   1st Qu.    Median      Mean   3rd Qu.      Max. 
## 9.000e-08 9.494e-08 1.001e-07 1.001e-07 1.052e-07 1.100e-07 
## 
## $x18
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   1.500   3.147   4.769   4.772   6.418   7.999 
## 
## $stat98
##      Min.   1st Qu.    Median      Mean   3rd Qu.      Max. 
## -2.998619 -1.551882 -0.015993 -0.005946  1.528405  2.999499 
## 
## $x7
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   0.700   1.266   1.854   1.852   2.446   3.000 
## 
## $stat110
##      Min.   1st Qu.    Median      Mean   3rd Qu.      Max. 
## -2.999543 -1.496865 -0.002193 -0.004129  1.504273  2.999563

Scatter plot vs. output variable **y3.log

d = gather(dplyr::select_at(data,c(cols,output.var.tr)),key=target,value=value,-!!output.var.tr)
ggplot(data=d, aes_string(x='value',y=output.var.tr)) + 
  geom_point(color='light green',alpha=0.5) + 
  geom_smooth() + 
  facet_wrap(~target, scales = 'free',ncol=3)
## `geom_smooth()` using method = 'gam' and formula 'y ~ s(x, bs = "cs")'

All Predictors

Histograms

All indicators have a strong indication of Fat-Tails

df=gather(select_at(data,predictors))
ggplot(df, aes(value)) + 
  geom_histogram(aes(y=..density..),bins = 50,fill='light blue') + 
  geom_density() + 
  # stat_function(fun = dnorm, n = 100, args = list(mean = mean(df$value), sd = sd(df$value)))  
  facet_wrap(~key, scales = 'free',ncol=4)

Correlations

With Output Variable

#chart.Correlation(select(data,-JobName),  pch=21)
t=as.data.frame(round(cor(dplyr::select(data,-one_of(output.var.tr,'JobName'))
                          ,select_at(data,output.var.tr)),4))  %>%
  rownames_to_column(var='variable') %>% filter(variable != !!output.var) %>% arrange(-y3.log)
#DT::datatable(t)
message("Top Positive")
## Top Positive
kable(head(arrange(t,desc(y3.log)),20))
variable y3.log
x18 0.3120
x7 0.2091
stat98 0.1784
x9 0.1127
x17 0.0611
x16 0.0489
x10 0.0472
x21 0.0412
x11 0.0322
x8 0.0318
stat156 0.0287
stat23 0.0234
stat100 0.0206
stat144 0.0203
stat59 0.0202
stat60 0.0199
stat195 0.0199
stat141 0.0194
stat73 0.0192
stat197 0.0185
message("Top Negative")
## Top Negative
kable(head(arrange(t,y3.log),20))
variable y3.log
stat110 -0.1594
x4 -0.0603
stat13 -0.0345
stat41 -0.0345
stat14 -0.0317
stat149 -0.0309
stat113 -0.0279
stat4 -0.0248
stat106 -0.0236
stat146 -0.0236
stat186 -0.0217
stat91 -0.0210
stat214 -0.0209
stat5 -0.0207
stat22 -0.0202
stat39 -0.0202
stat175 -0.0194
stat187 -0.0193
stat128 -0.0192
stat37 -0.0191

Between All Variables

#chart.Correlation(select(data,-JobName),  pch=21)
t=as.data.frame(round(cor(dplyr::select(data,-one_of('JobName'))),4))
#DT::datatable(t,options=list(scrollX=T))
message("Showing only 10 variables")
## Showing only 10 variables
kable(t[1:10,1:10])
x1 x2 x3 x4 x5 x6 x7 x8 x9 x10
x1 1.0000 0.0034 -0.0028 0.0085 0.0068 0.0159 0.0264 -0.0012 0.0142 0.0013
x2 0.0034 1.0000 -0.0057 0.0004 -0.0094 -0.0101 0.0089 0.0078 0.0049 -0.0214
x3 -0.0028 -0.0057 1.0000 0.0029 0.0046 0.0006 -0.0105 -0.0002 0.0167 -0.0137
x4 0.0085 0.0004 0.0029 1.0000 -0.0059 0.0104 0.0098 0.0053 0.0061 -0.0023
x5 0.0068 -0.0094 0.0046 -0.0059 1.0000 0.0016 -0.0027 0.0081 0.0259 -0.0081
x6 0.0159 -0.0101 0.0006 0.0104 0.0016 1.0000 0.0200 -0.0157 0.0117 -0.0072
x7 0.0264 0.0089 -0.0105 0.0098 -0.0027 0.0200 1.0000 -0.0018 -0.0069 -0.0221
x8 -0.0012 0.0078 -0.0002 0.0053 0.0081 -0.0157 -0.0018 1.0000 0.0142 -0.0004
x9 0.0142 0.0049 0.0167 0.0061 0.0259 0.0117 -0.0069 0.0142 1.0000 0.0149
x10 0.0013 -0.0214 -0.0137 -0.0023 -0.0081 -0.0072 -0.0221 -0.0004 0.0149 1.0000

Scatter Plots with Output Variable

Scatter plots with all predictors and the output variable (y3.log)

d = gather(dplyr::select_at(data,c(predictors,output.var.tr)),key=target,value=value,-!!output.var.tr)
ggplot(data=d, aes_string(x='value',y=output.var.tr)) + 
  geom_point(color='light blue',alpha=0.5) + 
  geom_smooth() + 
  facet_wrap(~target, scales = 'free',ncol=4)
## `geom_smooth()` using method = 'gam' and formula 'y ~ s(x, bs = "cs")'

Multicollinearity - VIF

No Multicollinearity among predictors

Showing Top predictor by VIF Value

vifDF = usdm::vif(select_at(data,predictors)) %>% arrange(desc(VIF))
head(vifDF,15)
##    Variables      VIF
## 1    stat145 1.063704
## 2    stat142 1.062756
## 3    stat154 1.061976
## 4      stat1 1.059943
## 5      stat5 1.059813
## 6     stat93 1.059749
## 7     stat32 1.059513
## 8    stat156 1.059133
## 9     stat86 1.058644
## 10    stat14 1.058343
## 11    stat92 1.058224
## 12   stat150 1.058180
## 13   stat127 1.058168
## 14   stat200 1.058121
## 15   stat131 1.058006

Feature Eng

  • Square Root transformation for x18
data.tr=data %>%
  mutate(x18.sqrt = sqrt(x18)) 
cols=c('x18','x18.sqrt')

Comparing Pre and Post Transformation Density Plots

# ggplot(gather(select_at(data.tr,cols)), aes(value)) + 
#   geom_histogram(aes(y=..density..),bins = 50,fill='light blue') + 
#   geom_density() + 
#   facet_wrap(~key, scales = 'free',ncol=4)

d = gather(dplyr::select_at(data.tr,c(cols,output.var.tr)),key=target,value=value,-!!output.var.tr)
ggplot(data=d, aes_string(x='value',y=output.var.tr)) + 
  geom_point(color='light blue',alpha=0.5) + 
  geom_smooth() + 
  facet_wrap(~target, scales = 'free',ncol=4)
## `geom_smooth()` using method = 'gam' and formula 'y ~ s(x, bs = "cs")'

#removing unwanted variables
data.tr=data.tr %>%
  dplyr::select_at(names(data.tr)[! names(data.tr) %in% c('x18','y3','JobName')])

data=data.tr
label.names=output.var.tr

Modeling

PCA

data = data[sample(nrow(data)),] # randomly shuffle data
pca.vars  = names(data)
pca.vars = pca.vars[!pca.vars %in% label.names]
#pca.model =  preProcess(data[,pca.vars], method = "pca")
#data.pca = predict(pca.model,data)
#eigenVectors = pca.model$rotation
targetCumVar = .8
pca.model = prcomp(data[,pca.vars],center=T,scale.=T,retx = T)
pca.model$var = pca.model$sdev ^ 2 #eigenvalues
pca.model$pvar = pca.model$var / sum(pca.model$var)
pca.model$cumpvar = cumsum(pca.model$pvar )
pca.model$pcaSel = pca.model$cumpvar<=targetCumVar
pca.model$pcaSelCount = sum(pca.model$pcaSel)
pca.model$pcaSelTotVar = sum(pca.model$pvar[pca.model$pcaSel])
message(pca.model$pcaSelCount, " PCAs justify ",percent(targetCumVar)," of the total Variance. (",percent(pca.model$pcaSelTotVar),")")
## 177 PCAs justify 80.0% of the total Variance. (79.7%)
plot(pca.model$var,xlab="Principal component", ylab="Proportion of variance explained",   type='b')

plot(cumsum(pca.model$pvar ),xlab="Principal component", ylab="Cumulative Proportion of variance explained", ylim=c(0,1), type='b')

screeplot(pca.model,npcs = pca.model$pcaSelCount)

screeplot(pca.model,npcs = pca.model$pcaSelCount,type='lines')

summary(pca.model)
## Importance of components:
##                            PC1     PC2     PC3     PC4     PC5     PC6     PC7     PC8     PC9    PC10    PC11    PC12
## Standard deviation     1.17904 1.17584 1.17362 1.17015 1.16717 1.16347 1.15866 1.15734 1.15524 1.15379 1.15158 1.15032
## Proportion of Variance 0.00579 0.00576 0.00574 0.00571 0.00568 0.00564 0.00559 0.00558 0.00556 0.00555 0.00553 0.00551
## Cumulative Proportion  0.00579 0.01155 0.01729 0.02300 0.02867 0.03431 0.03991 0.04549 0.05105 0.05660 0.06212 0.06764
##                           PC13    PC14    PC15    PC16    PC17    PC18    PC19    PC20    PC21    PC22   PC23    PC24
## Standard deviation     1.14783 1.14539 1.14484 1.14203 1.14161 1.14078 1.13593 1.13406 1.13153 1.12860 1.1273 1.12574
## Proportion of Variance 0.00549 0.00547 0.00546 0.00543 0.00543 0.00542 0.00538 0.00536 0.00533 0.00531 0.0053 0.00528
## Cumulative Proportion  0.07312 0.07859 0.08405 0.08949 0.09492 0.10034 0.10572 0.11107 0.11641 0.12172 0.1270 0.13229
##                           PC25    PC26    PC27    PC28    PC29   PC30    PC31    PC32    PC33    PC34    PC35    PC36
## Standard deviation     1.12538 1.12293 1.12249 1.11902 1.11784 1.1171 1.11463 1.11240 1.11114 1.10898 1.10838 1.10540
## Proportion of Variance 0.00528 0.00525 0.00525 0.00522 0.00521 0.0052 0.00518 0.00516 0.00514 0.00512 0.00512 0.00509
## Cumulative Proportion  0.13757 0.14282 0.14807 0.15329 0.15850 0.1637 0.16887 0.17403 0.17917 0.18430 0.18942 0.19451
##                           PC37    PC38    PC39    PC40    PC41   PC42    PC43    PC44    PC45    PC46    PC47    PC48
## Standard deviation     1.10363 1.10119 1.09868 1.09712 1.09664 1.0953 1.09342 1.09248 1.09191 1.08993 1.08755 1.08740
## Proportion of Variance 0.00508 0.00505 0.00503 0.00502 0.00501 0.0050 0.00498 0.00497 0.00497 0.00495 0.00493 0.00493
## Cumulative Proportion  0.19958 0.20464 0.20967 0.21468 0.21969 0.2247 0.22967 0.23465 0.23961 0.24456 0.24949 0.25442
##                          PC49   PC50    PC51    PC52    PC53    PC54    PC55    PC56   PC57   PC58    PC59    PC60
## Standard deviation     1.0848 1.0839 1.08256 1.07975 1.07796 1.07724 1.07681 1.07518 1.0738 1.0732 1.07179 1.06978
## Proportion of Variance 0.0049 0.0049 0.00488 0.00486 0.00484 0.00484 0.00483 0.00482 0.0048 0.0048 0.00479 0.00477
## Cumulative Proportion  0.2593 0.2642 0.26910 0.27396 0.27880 0.28363 0.28847 0.29328 0.2981 0.3029 0.30767 0.31244
##                           PC61    PC62    PC63    PC64    PC65    PC66    PC67    PC68    PC69    PC70    PC71    PC72
## Standard deviation     1.06760 1.06694 1.06668 1.06530 1.06432 1.06296 1.06035 1.05938 1.05854 1.05756 1.05511 1.05364
## Proportion of Variance 0.00475 0.00474 0.00474 0.00473 0.00472 0.00471 0.00468 0.00468 0.00467 0.00466 0.00464 0.00463
## Cumulative Proportion  0.31719 0.32193 0.32667 0.33140 0.33612 0.34083 0.34551 0.35019 0.35486 0.35952 0.36416 0.36878
##                           PC73    PC74   PC75    PC76    PC77    PC78    PC79    PC80    PC81    PC82    PC83    PC84
## Standard deviation     1.05283 1.05150 1.0504 1.04991 1.04971 1.04759 1.04638 1.04417 1.04337 1.04268 1.04064 1.04021
## Proportion of Variance 0.00462 0.00461 0.0046 0.00459 0.00459 0.00457 0.00456 0.00454 0.00454 0.00453 0.00451 0.00451
## Cumulative Proportion  0.37340 0.37801 0.3826 0.38720 0.39179 0.39636 0.40092 0.40547 0.41000 0.41453 0.41905 0.42355
##                          PC85    PC86    PC87    PC88    PC89    PC90    PC91    PC92    PC93    PC94    PC95    PC96
## Standard deviation     1.0387 1.03784 1.03567 1.03512 1.03323 1.03261 1.03067 1.03016 1.02847 1.02686 1.02606 1.02388
## Proportion of Variance 0.0045 0.00449 0.00447 0.00446 0.00445 0.00444 0.00443 0.00442 0.00441 0.00439 0.00439 0.00437
## Cumulative Proportion  0.4280 0.43254 0.43701 0.44147 0.44592 0.45036 0.45479 0.45921 0.46362 0.46801 0.47240 0.47677
##                           PC97    PC98    PC99   PC100   PC101   PC102   PC103   PC104   PC105   PC106   PC107   PC108
## Standard deviation     1.02321 1.02236 1.02153 1.02046 1.01984 1.01900 1.01740 1.01448 1.01392 1.01179 1.01081 1.00838
## Proportion of Variance 0.00436 0.00436 0.00435 0.00434 0.00433 0.00433 0.00431 0.00429 0.00428 0.00427 0.00426 0.00424
## Cumulative Proportion  0.48113 0.48548 0.48983 0.49417 0.49850 0.50283 0.50714 0.51143 0.51572 0.51998 0.52424 0.52847
##                          PC109   PC110   PC111   PC112   PC113   PC114   PC115   PC116   PC117   PC118   PC119   PC120
## Standard deviation     1.00788 1.00643 1.00572 1.00466 1.00314 1.00249 1.00058 0.99679 0.99672 0.99594 0.99554 0.99487
## Proportion of Variance 0.00423 0.00422 0.00421 0.00421 0.00419 0.00419 0.00417 0.00414 0.00414 0.00413 0.00413 0.00412
## Cumulative Proportion  0.53271 0.53693 0.54114 0.54535 0.54954 0.55373 0.55790 0.56204 0.56618 0.57031 0.57444 0.57857
##                          PC121   PC122   PC123   PC124   PC125   PC126   PC127   PC128   PC129   PC130   PC131  PC132
## Standard deviation     0.99314 0.99094 0.99017 0.98931 0.98824 0.98724 0.98619 0.98451 0.98265 0.98147 0.98058 0.9795
## Proportion of Variance 0.00411 0.00409 0.00409 0.00408 0.00407 0.00406 0.00405 0.00404 0.00402 0.00401 0.00401 0.0040
## Cumulative Proportion  0.58268 0.58677 0.59085 0.59493 0.59900 0.60306 0.60711 0.61115 0.61517 0.61919 0.62319 0.6272
##                          PC133   PC134   PC135   PC136   PC137   PC138   PC139   PC140   PC141   PC142   PC143   PC144
## Standard deviation     0.97894 0.97768 0.97560 0.97556 0.97296 0.97076 0.96990 0.96870 0.96836 0.96667 0.96534 0.96506
## Proportion of Variance 0.00399 0.00398 0.00397 0.00397 0.00394 0.00393 0.00392 0.00391 0.00391 0.00389 0.00388 0.00388
## Cumulative Proportion  0.63118 0.63517 0.63913 0.64310 0.64704 0.65097 0.65489 0.65880 0.66271 0.66660 0.67048 0.67436
##                          PC145   PC146   PC147   PC148   PC149   PC150   PC151   PC152   PC153   PC154   PC155   PC156
## Standard deviation     0.96324 0.96255 0.96210 0.96047 0.95901 0.95753 0.95677 0.95569 0.95395 0.95280 0.95148 0.94924
## Proportion of Variance 0.00387 0.00386 0.00386 0.00384 0.00383 0.00382 0.00381 0.00381 0.00379 0.00378 0.00377 0.00375
## Cumulative Proportion  0.67823 0.68209 0.68595 0.68979 0.69362 0.69744 0.70126 0.70506 0.70885 0.71264 0.71641 0.72016
##                          PC157   PC158   PC159   PC160   PC161   PC162   PC163  PC164   PC165   PC166   PC167   PC168
## Standard deviation     0.94857 0.94819 0.94749 0.94599 0.94465 0.94380 0.94369 0.9418 0.94114 0.93935 0.93790 0.93584
## Proportion of Variance 0.00375 0.00375 0.00374 0.00373 0.00372 0.00371 0.00371 0.0037 0.00369 0.00368 0.00367 0.00365
## Cumulative Proportion  0.72391 0.72766 0.73140 0.73513 0.73885 0.74256 0.74627 0.7500 0.75365 0.75733 0.76100 0.76465
##                          PC169   PC170   PC171   PC172  PC173  PC174   PC175   PC176   PC177   PC178   PC179   PC180
## Standard deviation     0.93500 0.93343 0.93208 0.93200 0.9300 0.9295 0.92698 0.92643 0.92505 0.92385 0.92325 0.92122
## Proportion of Variance 0.00364 0.00363 0.00362 0.00362 0.0036 0.0036 0.00358 0.00358 0.00357 0.00356 0.00355 0.00354
## Cumulative Proportion  0.76829 0.77192 0.77554 0.77916 0.7828 0.7864 0.78994 0.79352 0.79708 0.80064 0.80419 0.80773
##                          PC181   PC182  PC183  PC184   PC185   PC186   PC187   PC188   PC189   PC190   PC191   PC192
## Standard deviation     0.91894 0.91786 0.9165 0.9160 0.91558 0.91396 0.91183 0.90944 0.90827 0.90721 0.90632 0.90529
## Proportion of Variance 0.00352 0.00351 0.0035 0.0035 0.00349 0.00348 0.00346 0.00345 0.00344 0.00343 0.00342 0.00341
## Cumulative Proportion  0.81125 0.81476 0.8183 0.8217 0.82525 0.82873 0.83219 0.83564 0.83907 0.84250 0.84593 0.84934
##                          PC193  PC194   PC195   PC196   PC197   PC198   PC199   PC200   PC201   PC202  PC203   PC204
## Standard deviation     0.90457 0.9034 0.90208 0.90105 0.89916 0.89772 0.89656 0.89605 0.89191 0.89167 0.8906 0.88912
## Proportion of Variance 0.00341 0.0034 0.00339 0.00338 0.00337 0.00336 0.00335 0.00335 0.00331 0.00331 0.0033 0.00329
## Cumulative Proportion  0.85275 0.8561 0.85954 0.86292 0.86629 0.86965 0.87300 0.87635 0.87966 0.88297 0.8863 0.88957
##                          PC205   PC206   PC207   PC208   PC209   PC210   PC211   PC212  PC213   PC214   PC215   PC216
## Standard deviation     0.88740 0.88429 0.88386 0.88233 0.88045 0.87944 0.87867 0.87734 0.8757 0.87283 0.87119 0.86998
## Proportion of Variance 0.00328 0.00326 0.00326 0.00324 0.00323 0.00322 0.00322 0.00321 0.0032 0.00317 0.00316 0.00315
## Cumulative Proportion  0.89285 0.89611 0.89937 0.90261 0.90584 0.90906 0.91228 0.91549 0.9187 0.92186 0.92502 0.92817
##                          PC217   PC218   PC219   PC220  PC221   PC222   PC223   PC224   PC225   PC226   PC227   PC228
## Standard deviation     0.86891 0.86819 0.86572 0.86341 0.8623 0.85963 0.85747 0.85597 0.85552 0.85423 0.85298 0.85038
## Proportion of Variance 0.00315 0.00314 0.00312 0.00311 0.0031 0.00308 0.00306 0.00305 0.00305 0.00304 0.00303 0.00301
## Cumulative Proportion  0.93132 0.93446 0.93758 0.94069 0.9438 0.94686 0.94993 0.95298 0.95603 0.95907 0.96210 0.96512
##                          PC229   PC230   PC231   PC232   PC233   PC234  PC235   PC236   PC237   PC238   PC239  PC240
## Standard deviation     0.84687 0.84630 0.84533 0.84209 0.84002 0.83569 0.8336 0.83335 0.82944 0.82661 0.82391 0.8197
## Proportion of Variance 0.00299 0.00298 0.00298 0.00295 0.00294 0.00291 0.0029 0.00289 0.00287 0.00285 0.00283 0.0028
## Cumulative Proportion  0.96810 0.97109 0.97407 0.97702 0.97996 0.98287 0.9858 0.98866 0.99153 0.99437 0.99720 1.0000
pca.model$rotation
##                    PC1           PC2           PC3           PC4           PC5           PC6           PC7
## x1        0.0767879107 -0.0217177036  0.0788201126 -0.0808250934  0.1504043126 -0.0279115015  0.1007238424
## x2        0.1006911186 -0.0912806138  0.0238059802  0.0045564663 -0.0422689744 -0.0187605595  0.0145961545
## x3        0.0371213351 -0.0494977004  0.0892244600 -0.0701034222 -0.0168940876  0.0143530305 -0.0835037931
## x4        0.0134238521  0.0414990175 -0.0311865424  0.0145658214  0.0610881472 -0.0025793875  0.0946469940
## x5        0.0749073012 -0.0422571907 -0.0715208061 -0.0318403437  0.0020384488  0.0385535191 -0.0593562724
## x6        0.1684389241 -0.1019150393 -0.0536506485  0.1223885886 -0.0213455035 -0.0830749680  0.0941929548
## x7        0.1262484390 -0.0590049476 -0.0317433065 -0.0305791954 -0.0284526763 -0.0003559020  0.0530059512
## x8        0.0899359345  0.0536865753 -0.0449581122  0.1252133593  0.0742279666  0.0437725290 -0.0864538398
## x9        0.0459976808 -0.0076731002  0.0964902116  0.0295167711  0.0335766244 -0.0634732737  0.0042358579
## x10       0.0088379822  0.0104602995  0.0301179407 -0.0635642121  0.0512863036  0.0137180117  0.0184930977
## x11      -0.0261786136  0.0810057228 -0.0266485066 -0.0436429993 -0.0240474030  0.0518417495  0.1145906623
## x12       0.0218857155 -0.0634142440 -0.1255972630 -0.0097015127  0.0254327417 -0.0161530952  0.0231278192
## x13       0.1201588396  0.0538641732  0.0357342946 -0.0123800820 -0.0647222459 -0.0447698072 -0.0629430712
## x14      -0.0756219648 -0.0163225317 -0.1209003903 -0.0657399610  0.0346005119  0.0442172597  0.1019755222
## x15       0.1076821399  0.0299032069 -0.0337952844 -0.0380445639 -0.0084948416  0.0425967485 -0.1032656178
## x16       0.0113137679 -0.0274374274  0.0127301778  0.0195100479  0.0294842293  0.0664049484 -0.0055785857
## x17      -0.0267906643  0.0569964759 -0.0715791427  0.1281743275 -0.1035395353 -0.0888648245  0.1018815039
## x19       0.0319076124 -0.0719988194  0.1168537650  0.0438754832  0.0004223923 -0.0262353173  0.0771117440
## x20      -0.1111175408 -0.0315224660  0.0466966918 -0.0356713473 -0.0400249048  0.0254261914 -0.0156458583
## x21      -0.0379417717 -0.0062248415 -0.0561242495 -0.1016645223 -0.0199752678  0.0281449592  0.0459741647
## x22       0.0901163392  0.0468290081 -0.1713145665  0.0511751203 -0.0705052814 -0.0897118796 -0.0911410246
## x23       0.0186288219  0.0277115504  0.0356372620 -0.0800338353 -0.0012887515  0.0624076101 -0.1066800084
## stat1     0.0662232976 -0.0605751173 -0.0237021445 -0.0837486956  0.1295326751  0.1233993849  0.0038906821
## stat2     0.1854658767  0.0222427882  0.0302007982  0.0339168877 -0.0568638552  0.1015553326 -0.0116363347
## stat3     0.0196157164  0.0397928576  0.0462238515  0.0455611126 -0.1078755057  0.0490303150 -0.0689181234
## stat4    -0.1431349938  0.0803432697 -0.0501863777 -0.0322929143 -0.0522333595 -0.0614230671 -0.0292554875
## stat5     0.0330391164  0.1115025825 -0.0805648949 -0.1055216315 -0.0358140622  0.0596512630 -0.0210614802
## stat6    -0.0046951734  0.0480208072 -0.0006429192 -0.0226817392  0.0811834594 -0.0652114566  0.0593343119
## stat7    -0.0349213246 -0.1146915631  0.0137518572 -0.0289389669 -0.0303291706 -0.0779696754  0.0248950860
## stat8     0.0177159794 -0.0834860312  0.0603181339  0.0115933639  0.0192834208 -0.0107711161  0.0053836244
## stat9     0.0214186773  0.0719209968  0.0487617902  0.0233774844  0.1163507343  0.0964858892  0.0702832556
## stat10   -0.0236825098 -0.0324784707 -0.0240418211  0.0490021369  0.0761440128 -0.1255194242 -0.0499141361
## stat11   -0.0854881048  0.0094314481  0.0641117449  0.0401735651 -0.0554760098  0.0127842836 -0.0434777173
## stat12    0.0499709358  0.0975800825  0.1303586783  0.0021395303 -0.0732534084 -0.1040796466 -0.0080442287
## stat13   -0.1281745644 -0.0648097272 -0.0456352081  0.0036465936  0.0602639881 -0.0380276625 -0.0287454913
## stat14    0.1684241312 -0.1078838376  0.0586995170  0.0199803789  0.1119769840 -0.0516568179 -0.0047519101
## stat15   -0.0191846066  0.0092712232 -0.0400425375 -0.1599130970  0.0252962043  0.0930514327  0.0340474186
## stat16   -0.0506536102 -0.0631828015 -0.0037002074  0.0236011115 -0.0696534779  0.0010557752 -0.0398968779
## stat17   -0.0858265895  0.0400681955  0.0806657311 -0.1774349148 -0.0229559369  0.0456616287  0.1620883904
## stat18    0.0425597491 -0.0474965563  0.1225798316 -0.0870817245 -0.0015020908 -0.0251126634  0.0249970943
## stat19   -0.1382107042 -0.0250080004 -0.0429261762 -0.0809903710  0.1330807802  0.0041749056  0.0570832337
## stat20    0.0208942849  0.0045286295 -0.0981006835 -0.0472885845  0.0926127836  0.1023906641 -0.0391156938
## stat21   -0.0189482396  0.0167723862  0.0231155546  0.0056406784  0.0565566255  0.0160471366  0.0269969077
## stat22    0.0266959448 -0.0576118332  0.0244111802 -0.0715555672  0.0086410733 -0.0522751808 -0.0027746051
## stat23    0.0314351226 -0.0677009407  0.0666788171 -0.0288889285  0.0716847832  0.0500080924 -0.0272393711
## stat24   -0.0249176576  0.0723459281 -0.0161341740 -0.0299242424  0.0018290495  0.0582487235 -0.0128087436
## stat25    0.0864983234  0.0326474852 -0.0496841901  0.0030073267 -0.0326974368  0.0589363714  0.0356771050
## stat26    0.0505984455 -0.0389291708 -0.0110295519  0.0175450320 -0.0562745413 -0.1295966758  0.0053648746
## stat27   -0.0367143850 -0.0794395320 -0.0039099244  0.0006124688 -0.0822422331  0.0530407423  0.0213901943
## stat28    0.0526646946 -0.0428017055 -0.0570925145 -0.0072249921 -0.0554435437 -0.0140654441 -0.0077797091
## stat29    0.0374922105 -0.0475866800  0.0791463064  0.0603486998 -0.0290655833 -0.0228338623  0.0092377081
## stat30    0.0822437735  0.0532236472 -0.1330988779  0.0005684349  0.0948571841 -0.0169632202 -0.0110818963
## stat31    0.1754056198  0.0884828662  0.0671092511 -0.0012718301 -0.0181112963 -0.0912588183  0.0596420306
## stat32   -0.0419118311  0.0720057198  0.0116205234 -0.0816917104 -0.0513415869  0.0510279445 -0.0112933925
## stat33   -0.0989245479  0.0180958835  0.0021880680 -0.0054893777  0.0018353371  0.1353975172 -0.0473448610
## stat34   -0.0565932728 -0.0585592254 -0.0565931015  0.0854042774 -0.0779211414  0.0372014830  0.0251317480
## stat35   -0.0381996911 -0.0504572124 -0.0415067609  0.0137697330 -0.0789381937  0.0315999347  0.1044369602
## stat36   -0.0111426521 -0.0204649006  0.0672130542 -0.0243048036  0.0257929459  0.0222927667  0.0263346551
## stat37    0.0980860305 -0.0478856727  0.1424926970 -0.1056410440 -0.0306330541 -0.0323766955 -0.1588729903
## stat38   -0.0479602629 -0.0106542629  0.0010985797 -0.1123698330 -0.0074310077 -0.0269908047  0.0872662493
## stat39   -0.0730431154  0.0718262329 -0.0076191957  0.0081747468 -0.0575864903 -0.0347867271 -0.0056733847
## stat40    0.0149684130 -0.0296842504 -0.0317468078 -0.0653024982  0.0189452516  0.0637704541  0.1207913123
## stat41    0.0702934699  0.0896120558 -0.0596440750 -0.0078865782 -0.0264422736 -0.0479419313  0.0215072776
## stat42    0.0940531171  0.0052112484  0.0363021065 -0.0076444976 -0.0418917059  0.0089501350  0.1085411228
## stat43   -0.0305707274  0.1163733680 -0.0753325465 -0.0661547818  0.0068631116  0.0226891351 -0.0204990266
## stat44   -0.0061170182 -0.0682279311 -0.1096019995 -0.0827317344 -0.0477608697 -0.0457347351  0.0085916800
## stat45   -0.0135704265  0.0465999250 -0.0275225795 -0.1009720128 -0.0274834975 -0.0525286841 -0.0557820935
## stat46    0.0698980157 -0.0167727758 -0.1574297632  0.0172883381 -0.0759403136  0.0153227335 -0.0373706246
## stat47   -0.0396724199  0.0340798636 -0.0329683263 -0.0578789690  0.0175956587  0.1202808613  0.0106608494
## stat48   -0.1437991094  0.0724506925  0.1024350822 -0.0293293926  0.0088674825 -0.0766385262 -0.0109728627
## stat49   -0.0324008561  0.0758667179  0.0393504821  0.0009343457  0.1092632859 -0.0260286696 -0.0092020599
## stat50   -0.0076036169 -0.0223269129  0.0162712789 -0.0341261632  0.0323566260 -0.0036055691  0.0617150131
## stat51   -0.0538015541 -0.0260408839  0.0082139003 -0.0290016104 -0.0044451099  0.0032000677 -0.0253199790
## stat52    0.0765260691  0.0009957755  0.0265211474 -0.0636911359 -0.0179173779 -0.0564960035 -0.1709666443
## stat53   -0.0862571387  0.0394350472 -0.0601787434  0.0310352453  0.0268209461 -0.1185162118 -0.0927170967
## stat54    0.1001328169  0.1100141000 -0.0081308215  0.0536084059  0.0325974330 -0.0966675953  0.0477550558
## stat55    0.0540764577  0.0536264056  0.0539241945  0.0092539456  0.0404223067 -0.0258660702 -0.0572020880
## stat56    0.0255818160  0.1044447519  0.0272988397  0.1043968613 -0.0313056142  0.0344568627  0.0153107488
## stat57   -0.0074759920 -0.0691394706  0.0673503282 -0.0576517070 -0.0122160048 -0.0680803025  0.0436222214
## stat58    0.0140044316  0.0126542223 -0.0034534573  0.0080872206 -0.0207802195  0.0448502580 -0.0554835231
## stat59    0.0305266869 -0.0637918888  0.1063286062  0.0162048420  0.0235522928  0.0132514208  0.0821011376
## stat60    0.0565112409 -0.0184824262 -0.0669953677  0.0270984154 -0.1182510011  0.0681237609  0.0894897997
## stat61    0.0504906444 -0.0950676468 -0.0762323365 -0.0846973845 -0.0668125894 -0.0206994907 -0.1240321228
## stat62   -0.0029314973  0.1066478728  0.0511668555 -0.0536685602 -0.0373268254 -0.0406159272  0.0076748313
## stat63    0.0120785589  0.0427216299  0.1171430829 -0.0086830353  0.0646185524  0.1203367181 -0.0669843681
## stat64   -0.0799699991 -0.0105783900 -0.0104831329  0.1572237391  0.0132318865 -0.0113106757  0.0504487128
## stat65   -0.0553284555 -0.0597898026 -0.0022995884 -0.0359368865 -0.0164102601  0.0436785598 -0.0932234858
## stat66    0.0041928172  0.0108170101  0.0270181874 -0.0778593923  0.1105259877  0.0095155168 -0.0035452957
## stat67    0.0073842763 -0.0468656032 -0.0215657785  0.0608964281 -0.0303283553 -0.0468375152  0.0546200860
## stat68    0.0181699654  0.1058333596  0.0116859783 -0.0389564927 -0.0673001564 -0.0105190740  0.0457676930
## stat69   -0.1536401803  0.0467905455  0.0632647687  0.0236064669  0.0847925644 -0.0888899667  0.0992475515
## stat70    0.0180477825 -0.0887454386  0.0342442383  0.0477995081 -0.0289774991  0.1044669789 -0.0097357440
## stat71   -0.0132383990 -0.0417765637  0.0244939804  0.0290930844 -0.0186876742  0.0248997166 -0.0716666519
## stat72   -0.0820876130 -0.0187080973 -0.0840641161 -0.1139374992  0.0190429750 -0.0323516030 -0.0306669168
## stat73    0.0928183211 -0.0443334197  0.0410550440  0.1278012773 -0.0445380076  0.0044783274  0.0065848017
## stat74   -0.0676033531  0.0476637068  0.0327239649  0.0548293407  0.0471607172  0.1166279492  0.0571769515
## stat75    0.0573662656 -0.0050177109 -0.0088700435 -0.0278055185 -0.0817893516 -0.0102136872  0.0231092253
## stat76   -0.0211634209 -0.0784680251 -0.0094935847  0.0168690186  0.0096859371 -0.0544465391  0.0709392286
## stat77   -0.0072782754  0.0461880205  0.0969562232  0.0169532159 -0.0590924101  0.0118416851  0.0192644943
## stat78   -0.0034752164 -0.0984945325  0.0039658617 -0.1239249086 -0.0123561268  0.0849184352  0.0602236359
## stat79    0.0194673477  0.0037597286 -0.0427588770 -0.1098603897  0.0552283629 -0.0530659979 -0.0263354933
## stat80   -0.0035802022 -0.0143131102 -0.0743903458  0.0080915358  0.0957958563 -0.0107033596 -0.0252411860
## stat81   -0.0083137574 -0.0861239425  0.0282820903 -0.1175931704  0.0035045264 -0.0345783682 -0.0645544367
## stat82   -0.0145997362  0.1612710467  0.0442241307  0.0580645636 -0.0205108243 -0.0624413403 -0.0406884463
## stat83    0.0721314988 -0.0042403193 -0.0735868535  0.1064867979  0.1078557884 -0.0759439544 -0.0161455304
## stat84   -0.0026800494  0.0060208476  0.0105883477 -0.0817075630 -0.0399945380  0.1654977102 -0.0558144509
## stat85    0.0913325295  0.0462979240  0.0363564781  0.0486230901  0.0958554787  0.0224291959 -0.0683460180
## stat86   -0.0284577019 -0.0129430283  0.0282104116  0.0357893763 -0.0046538307  0.0013999802 -0.0742626956
## stat87    0.0949966996  0.1117227956 -0.0896753243 -0.0175747066  0.0142151865  0.1154794653  0.0898833320
## stat88   -0.0075735123 -0.0275431808  0.0113968775  0.0426809432 -0.0888536378  0.0261081907  0.0203825567
## stat89   -0.0274225991 -0.0044013994  0.0189071466 -0.0178051205 -0.0776477653  0.0214848586 -0.0425583850
## stat90   -0.0860954842 -0.0256384584  0.0034797963 -0.0181594829  0.1539990159 -0.0653337319 -0.0292710144
## stat91    0.0581768342  0.1075145236 -0.0836066110 -0.0940575127 -0.0380956942 -0.1045738661  0.0405854249
## stat92   -0.0706471865  0.0751204624 -0.0464065914  0.0029674140 -0.0250480062 -0.0170424131  0.0987018063
## stat93    0.0062750259 -0.0082997317  0.0313957079 -0.0864780720 -0.0179706867 -0.0388499164 -0.0371787824
## stat94    0.0143706484 -0.0341958840  0.0241006718  0.0444884739  0.0545273283  0.0639683596 -0.0037701807
## stat95   -0.0161051293  0.0457844727 -0.0465519475  0.0067440973  0.0264618801 -0.0082808887 -0.0549794265
## stat96    0.0379303074 -0.0172502159 -0.0130599394  0.0430888523 -0.1066144981 -0.0011847905  0.0758626454
## stat97    0.0234161341  0.0389567191 -0.0070229984  0.0274030297 -0.0513331689 -0.0541456360 -0.0839137080
## stat98   -0.0338567251 -0.0207492600  0.0372712845  0.0757709273 -0.0505694450 -0.0814075151  0.0914684067
## stat99    0.1214116813  0.0487170372  0.0138056861 -0.0213746296  0.1292935157 -0.0438207049 -0.0389041006
## stat100  -0.0062782234 -0.0029516439 -0.0160954033 -0.0132698751 -0.0076618922 -0.0333060492 -0.1750407504
## stat101   0.0718186362  0.0726967433  0.0184187762  0.0380446729  0.0525218337 -0.0298820306 -0.0351632436
## stat102  -0.1018164601  0.0193253734 -0.0779445678 -0.0015330630  0.0179223353 -0.0382184600 -0.0132523588
## stat103   0.0275157364  0.0177453200  0.0077970999 -0.0197829280  0.1017205597 -0.0553244085  0.0853844749
## stat104   0.0298999496  0.0952393980 -0.0334163844  0.0017101108 -0.0079341436 -0.0894396139 -0.0000901402
## stat105  -0.0436214699  0.0012158180  0.0684518632  0.0611793193  0.0134141581 -0.0768355262 -0.0681677288
## stat106  -0.0385262247  0.0758380246  0.0482267908 -0.0507800437 -0.0057606735 -0.1270264720 -0.0744770749
## stat107  -0.0657095047 -0.0853190033 -0.0317233716  0.0018367460  0.0119025142 -0.0030409107 -0.0668614755
## stat108   0.0237727038  0.0281811681  0.0247539154 -0.0299746521 -0.0424435440  0.0690584269  0.0676289002
## stat109  -0.0132516837 -0.0804481609 -0.0135914444 -0.0214637847  0.1002277004 -0.0609858703  0.0014967985
## stat110  -0.0002283355  0.0412777200 -0.0357984908  0.0836319106 -0.0274968933 -0.0785787058 -0.0381475140
## stat111  -0.0379423351 -0.0202912730  0.0977080260 -0.1281460122 -0.0608458684 -0.0398588718  0.0199332187
## stat112   0.1029060051  0.0192367833 -0.0541102736 -0.0359298938 -0.0852570360  0.0135916335 -0.0655241301
## stat113  -0.1141934070  0.0569960920 -0.1651406212  0.0648762307 -0.0435731515 -0.1254203183 -0.0465154726
## stat114  -0.0291346737  0.0443740015 -0.0384374277  0.0214693616  0.1002817839 -0.0607649066 -0.0074594114
## stat115   0.0052454580 -0.0451691512  0.1024632474 -0.1083086830  0.0076343218  0.0690262678  0.0649172869
## stat116   0.0101819684 -0.0471183685  0.0413384112  0.0406984763  0.0975772114 -0.0134011913 -0.0141117997
## stat117  -0.0136955310 -0.1329530268  0.0650028668  0.0068753772 -0.0394331484 -0.0290249224  0.0415421473
## stat118  -0.1387568401  0.0874091546 -0.0726564886  0.0482350122 -0.0302251177  0.1149468090  0.0259641942
## stat119  -0.0294963082 -0.0266709060  0.0174918211  0.0156207924 -0.0596204894  0.0658245783  0.1382714792
## stat120  -0.0341999459  0.0449764733  0.0641849947 -0.0413716646  0.1014488035  0.0446163702  0.0505494882
## stat121   0.0842494172  0.1272840347  0.0270940164 -0.0670278320  0.1250836241  0.0865800007  0.0082897615
## stat122  -0.0043274135 -0.0520819557  0.1090474671  0.0002696754  0.1130754922 -0.1951052178 -0.0406167020
## stat123  -0.0414621017  0.0432351397  0.0609248358  0.0165284889  0.0010505470 -0.1122392303  0.0658501427
## stat124   0.0115232283  0.0567651968 -0.0242906265 -0.1273370254 -0.0584418804 -0.1029359065 -0.0142985771
## stat125   0.0250946919  0.0658409335 -0.0207558666  0.0554414200  0.0264764412  0.1078564271 -0.1235949221
## stat126   0.0004144786  0.0356547364  0.1925996318  0.0219890003 -0.0566335212  0.1149537267  0.0214010524
## stat127   0.0204095299 -0.1007499927 -0.0853115878 -0.0238282083  0.0201595439 -0.0691559163 -0.0434299638
## stat128  -0.0062042944  0.0040862363 -0.0675389357 -0.0009199118  0.0854904579 -0.0013812792 -0.0509751678
## stat129  -0.0946726291 -0.0307208459  0.1614578482 -0.0353760771  0.0482035809  0.0965282995 -0.0174899206
## stat130   0.0585116561 -0.0967153550  0.0221012154  0.0239002664 -0.0252538752  0.0967264402  0.0772965293
## stat131   0.0094482127 -0.0510656442  0.0831279328  0.1019889390  0.1583925592  0.1189809618 -0.1405783445
## stat132  -0.0677318434 -0.0030555122  0.0199628469  0.0292356458 -0.0591251610  0.0252343262 -0.0108516590
## stat133  -0.0474525512  0.0993560174  0.0369887859  0.0596938130 -0.0607961917 -0.0421498965  0.0249586491
## stat134   0.0418136443  0.0573742377 -0.0694480690  0.1070757766  0.1287229189  0.1170950754  0.0017453474
## stat135  -0.1255029595  0.0391240773 -0.0274046223  0.0107914251  0.0042111034 -0.0111259045 -0.0364051432
## stat136  -0.0715925700 -0.1493188510 -0.0038154656 -0.0068822380 -0.1281195980 -0.0688560620  0.0672023319
## stat137   0.0483760471 -0.0003191285 -0.1399305265  0.0552120178  0.0923723402  0.1123997559  0.0452845182
## stat138  -0.1235327481 -0.1246101750 -0.0123471441  0.0349443634  0.0620628338 -0.0403836536 -0.1461208308
## stat139  -0.0711834647 -0.0076401995  0.0218939314 -0.0873463253 -0.0865964573 -0.1180303917 -0.0340961470
## stat140  -0.0129077228 -0.0442880117 -0.1035426874 -0.0543704654 -0.0533688801  0.1648994913 -0.0874975912
## stat141   0.0041106348 -0.1928194261 -0.0550595986 -0.0505141011  0.0037699227 -0.0657692805  0.2211394368
## stat142   0.0420780996 -0.1554884638 -0.0627983694 -0.0722836314  0.0151098840 -0.0099368621  0.0130902733
## stat143  -0.0147835559 -0.0034296837 -0.0597269897  0.1171550987 -0.0507095365 -0.0356259958  0.0336717635
## stat144  -0.0754558708 -0.1562730464 -0.0217952284  0.1057094786 -0.0507835086  0.0239279302 -0.0696307974
## stat145   0.0738312182  0.1078156344  0.0716668388 -0.1216722582 -0.0557754195 -0.0496704509  0.0642582559
## stat146   0.0924407979 -0.0573285545  0.0489512439 -0.0863511567 -0.0631699248 -0.0634241034  0.0181636535
## stat147  -0.0607342633 -0.0819546251  0.0098255553 -0.0825183640  0.0571526524  0.0785981981 -0.0256067084
## stat148  -0.0305156645  0.0659251899  0.1303687527 -0.0422339166 -0.1205423348  0.0057190676 -0.0690927352
## stat149  -0.0576008448 -0.0658325329  0.0369025632  0.0237445224 -0.0564251456  0.1682859555  0.0079256452
## stat150   0.0794093408  0.0247232796 -0.1843174696 -0.0676403878  0.0578214711 -0.0033819636  0.0788417581
## stat151  -0.0245597801 -0.0756152173 -0.0428129046 -0.0229030531  0.1500160644 -0.0668837913 -0.0271697609
## stat152   0.0030073208 -0.0008311145  0.0714518367  0.1524567494 -0.1741158338  0.0644745043 -0.0509087516
## stat153  -0.0439237626 -0.0444435192 -0.0451716580 -0.0200472947  0.0073389508  0.0491847728  0.0501315680
## stat154   0.0027347223 -0.1528030039  0.0096946229  0.0439941613 -0.0970757946  0.1485746191  0.1169347745
## stat155  -0.0246625787 -0.0241802540 -0.0114835510  0.1200682359 -0.0009400425 -0.0424491056  0.0152708939
## stat156   0.1159747401  0.0923758608 -0.0321225119  0.0577087741 -0.0330625200 -0.0121922445  0.0262670277
## stat157   0.0073460093  0.0319437821  0.0383350589  0.0120193753 -0.0334805095 -0.1019476416  0.0018592929
## stat158   0.1408518157 -0.0687561753  0.0139219995  0.0244784295 -0.0983611040 -0.0205836557  0.0942737731
## stat159  -0.0390905452  0.0371731949 -0.0445376246 -0.0845708176  0.0288509163 -0.0083753878 -0.0510642256
## stat160   0.0640227293  0.0751465323 -0.0362407927  0.0616496271  0.0022919320 -0.0163868815  0.0228289225
## stat161  -0.0144183691  0.0021850534  0.0215138516 -0.0538932204  0.0324658169 -0.1020058861  0.0337746242
## stat162  -0.0392872774 -0.0410940282 -0.0186285301  0.0130585253  0.0499117145 -0.0385430744  0.1053007990
## stat163   0.0058139202 -0.0298872553  0.0043976113 -0.0507339905  0.0740367423  0.0076483669 -0.0497984162
## stat164   0.0540443528 -0.0297148223  0.0854683038  0.1361563781  0.0353061758  0.0530745540  0.0025939188
## stat165  -0.0385380881  0.0991436940 -0.0001284491  0.0473698837  0.1158102616 -0.0180741148  0.0164865942
## stat166  -0.1022670611  0.0195777072 -0.0668318561 -0.1076262484 -0.0772831771  0.0194492186  0.1007974153
## stat167   0.0188846374  0.0443021363 -0.0177453437 -0.0733944679 -0.0071088111  0.0111658555  0.0746239271
## stat168  -0.0504073695  0.0246476071 -0.0473486438  0.0966390006  0.0743720399 -0.0398462032  0.0273774882
## stat169  -0.0205563232  0.0619349195 -0.0299877980 -0.1505994585 -0.1443784010  0.0577937784 -0.0746268902
## stat170   0.0070424680  0.1017360702 -0.0279626214  0.0012117931 -0.0158028699 -0.0208619168 -0.0195844345
## stat171  -0.0049527317  0.1452974001  0.0392376650  0.0495214584 -0.0537643266  0.0672799008 -0.0297434928
## stat172  -0.1105338869  0.0711153542  0.0604586552  0.0084448146  0.1070760513  0.0419875654  0.0793530014
## stat173   0.0345294696  0.0558155048 -0.0285491801 -0.0637987112  0.0619283505  0.0070083092  0.0256941457
## stat174  -0.1197509289  0.0488350294 -0.0530691763  0.0026320842  0.0444701778  0.0830417603  0.0502430124
## stat175   0.0240640692  0.0095986513  0.1417843353 -0.0166529788 -0.1445904677 -0.0886714770  0.1469174785
## stat176   0.0968154988  0.0018103398  0.0037614672 -0.0698991285  0.0574742159  0.0020722242  0.0491388547
## stat177   0.0099771795 -0.0316259789  0.0666319608  0.0143127003 -0.0150642539  0.0711111251 -0.0094889863
## stat178  -0.0309385434  0.0345691487  0.0499306174  0.1000186888 -0.0042471584  0.0117979837 -0.0709105157
## stat179  -0.0366998625 -0.0037113472  0.0679665837 -0.0186826405 -0.0154657674 -0.0427581687  0.0389255192
## stat180   0.0408577071  0.0579887193 -0.0338191928 -0.0993240153 -0.0430057686  0.0075433793 -0.0391880509
## stat181   0.0081527665 -0.0902075902 -0.0233728023 -0.0037118564 -0.0863695180 -0.0122287676 -0.1457131048
## stat182  -0.0266858704  0.0177639307  0.0416306599  0.0300111799  0.0625285576 -0.0439909558  0.0841878002
## stat183   0.0125382403  0.0826515546 -0.1056040812  0.1001697342 -0.0072087017  0.0444873034  0.0795172540
## stat184   0.0515084778 -0.1427261710  0.1252409663  0.0369405263  0.0997372733 -0.0628559840 -0.0429880550
## stat185   0.0535106063 -0.0739215011 -0.1214549450 -0.0443967407  0.0378980341 -0.0982812794  0.1207312521
## stat186  -0.0271998430  0.1129564840 -0.0331223778  0.0194390004  0.0704269097  0.0006696785  0.1079219689
## stat187  -0.0377183243 -0.0302062081  0.0740426467  0.0682048241 -0.0404638143  0.0222748117 -0.0243741845
## stat188  -0.0068370750  0.1099234624 -0.0365063207  0.0589696846 -0.0650667483 -0.0106828088 -0.0379913515
## stat189   0.0116718083 -0.0362640055 -0.0484776986 -0.0956668041 -0.0265651249  0.0433376251 -0.0951115060
## stat190   0.0725164834  0.0561448373  0.0068655004 -0.0222558541  0.0159348767 -0.0449011925  0.0216503735
## stat191   0.0231410966 -0.0557139625 -0.0682545177  0.1395644673 -0.0521414070 -0.0245144384  0.0381334185
## stat192  -0.1004324690 -0.0361249389 -0.0247313196  0.0938217985  0.0028016819  0.0662872393 -0.0535238527
## stat193   0.0576465688  0.0033350167 -0.0533127401  0.0626057152  0.0352360813  0.0486755014  0.0299107483
## stat194  -0.0485732330  0.0861641870  0.0696295182  0.0367813829 -0.0438967755 -0.0329716141  0.0459583056
## stat195  -0.0280396597 -0.0505641438 -0.0542607617  0.0128318167  0.0473328332 -0.0434340568 -0.0502650690
## stat196  -0.0185683552  0.0167186344  0.0361762947  0.0754530060 -0.0414480552 -0.0280993716 -0.1015997903
## stat197  -0.0294911681  0.0002149223 -0.0194633973 -0.0122778142 -0.0251394206  0.0245504965 -0.0292052999
## stat198   0.0904527451 -0.0719283274 -0.1209137006 -0.0453218947  0.0430851823  0.0167693702 -0.0344464442
## stat199   0.0096695580  0.0057753185  0.0106692277 -0.0591553688  0.0937712078 -0.0208783125 -0.0635435363
## stat200   0.0206110169 -0.0532107486 -0.0153562175  0.0243381513  0.0389317790 -0.0167817020 -0.0458821381
## stat201   0.1222888579 -0.0344053670 -0.0180214085  0.0360141923  0.0043124549 -0.0114961637 -0.0425437887
## stat202   0.0238268552  0.1463868243  0.0336221418  0.0235435439 -0.0589790513  0.0982750070 -0.0033736432
## stat203   0.0145456822 -0.0505642955 -0.0944152190  0.0674840125  0.0158156512  0.0298921410  0.0401190180
## stat204   0.1244987849 -0.0674734389 -0.0882842718  0.0463507132  0.0363907594  0.0512774749  0.0053841593
## stat205  -0.0292643138 -0.0219127434  0.0002281099 -0.1444843334 -0.0914266865 -0.0405439816 -0.1013739987
## stat206   0.0542487866 -0.0265723873  0.0204717271 -0.0220319054  0.0027210662  0.1349198143 -0.1038185292
## stat207  -0.1379818402 -0.0337601948  0.0345388297  0.1132654429  0.0796946152 -0.0244804817 -0.0057596083
## stat208   0.0739757307  0.0034174416 -0.0582305699 -0.1219308531 -0.1078313646 -0.0491505101 -0.0045929611
## stat209   0.1485579824  0.0206711098  0.1045231480 -0.0457572009  0.0651934972 -0.0463037920  0.0291193919
## stat210  -0.0477002704 -0.0281448296 -0.0400493641  0.0687317385 -0.0731551453 -0.0953941093 -0.0772190220
## stat211  -0.0325907106  0.0048592418  0.0656738098  0.0040271214  0.0501339215 -0.0174884260  0.0056058775
## stat212   0.0104745625 -0.0378919425 -0.0327018123  0.0483030282 -0.0982111041  0.0258576048  0.0292177334
## stat213   0.0539614272 -0.0099691746 -0.0323838117  0.0185297504 -0.0487658912  0.0328289468 -0.1009034861
## stat214   0.0541207432  0.0192568181  0.0915238040 -0.0425661686  0.0889947768 -0.0546016926 -0.0736108379
## stat215  -0.0600269226 -0.1236058647 -0.0947837553 -0.0134707787 -0.0441700206 -0.0295610898 -0.0439521801
## stat216   0.0610019770  0.0175219775  0.0815326527 -0.0124046354  0.0297412578  0.0844748916  0.0309552425
## stat217   0.0138842259 -0.0555567297  0.1199319491  0.0979973686  0.0371125709  0.0475548457  0.0672357972
## x18.sqrt -0.0426861571 -0.0025888873 -0.0886813208 -0.0240619113  0.0714553965 -0.0139008613 -0.0075440339
##                    PC8           PC9          PC10          PC11          PC12          PC13          PC14
## x1        0.0432432447 -0.0242415346  0.0654186859 -0.0722546413  0.0241539157 -0.0465623445  4.833958e-02
## x2        0.0856907633  0.0128500307  0.0206272572  0.0644461332  0.0409545612  0.1028982833  6.511263e-02
## x3       -0.0623679143 -0.0387828094  0.0615511997  0.0475740659  0.0401922041 -0.0430384355  8.007328e-02
## x4       -0.0234417976  0.0800051367  0.0255561793 -0.0885633451  0.0137179911 -0.0217826093  2.485434e-02
## x5       -0.0045191154  0.0602734776  0.0394262294  0.0045098490  0.0230719068  0.0827586829  6.779953e-02
## x6       -0.0201530987 -0.0897754278  0.0171603832 -0.0642797367 -0.0059688390 -0.0953639089 -4.362521e-02
## x7        0.1139541586  0.0592918393  0.0710225914 -0.0330489841  0.0454838809 -0.0733105570 -6.987508e-02
## x8        0.1118201384  0.0258198810  0.0446830535 -0.0303829383 -0.0054135964  0.0761908980  1.475161e-02
## x9       -0.1016876103 -0.0343677351  0.1169714852 -0.0062046914  0.0894978063  0.0627423852 -5.310951e-02
## x10      -0.0587002610  0.0446614283  0.0454540029  0.0581732015  0.0944967580  0.0502385143 -5.570890e-02
## x11       0.0208300245 -0.0160260008 -0.0577717522 -0.0711864080 -0.0032565255 -0.0775295638 -2.081027e-02
## x12      -0.0840568182 -0.0428697144  0.1204708374 -0.0154755574  0.0020895480 -0.0040719352 -6.200867e-03
## x13      -0.1118509038 -0.0512398342  0.0290379153  0.1086741280  0.0708459197  0.0299379089  8.158078e-02
## x14       0.0584320133 -0.0396653727  0.1045137396  0.0666118186  0.0646386312  0.0928468180  1.174737e-01
## x15       0.0562868478 -0.0234183344  0.0013964889  0.0481261084  0.0141440405 -0.0165294511  8.700922e-03
## x16       0.0533225249 -0.0641826928 -0.0225684716  0.0743683146 -0.0506135498  0.0332565793 -5.842228e-02
## x17      -0.0276633928 -0.0625027221  0.0476496299  0.1334091756 -0.0233589070 -0.0291834449  8.575662e-02
## x19       0.0471781173 -0.0438521885  0.0246180585 -0.1081041223 -0.0488721691  0.0051999229  1.703746e-01
## x20       0.0503066625  0.0426176536 -0.0149501418 -0.0728412052 -0.0890775577 -0.0009486178 -8.148681e-02
## x21       0.0212515587 -0.0033743759  0.1039760874  0.0406318115  0.0243822822 -0.0481556025 -8.596564e-03
## x22       0.0438478552 -0.0356594323 -0.0302044351  0.0053837621 -0.0473304428  0.0168642604 -1.058226e-01
## x23      -0.1029201519  0.0951253956 -0.0228871072 -0.0266186179  0.0406166980 -0.0022115309 -2.156393e-02
## stat1    -0.0228505507  0.0510328782 -0.0666598323 -0.0100169110  0.0600953465  0.1716753175  9.740927e-02
## stat2    -0.0492551490  0.0890889435  0.0138041321  0.0496924421 -0.0126141799 -0.0700622589  1.459935e-01
## stat3     0.0264228280 -0.0049069284 -0.0596847686 -0.1173177838 -0.0570902946 -0.0102388368  1.641153e-01
## stat4    -0.0952459785 -0.0439756816  0.0193893600  0.0298245900  0.0041274437  0.0204885815  1.345772e-02
## stat5     0.0576213398 -0.0097671834 -0.0559915586 -0.0941382807  0.0542329349 -0.0752330276 -1.820994e-02
## stat6     0.0056171585  0.0535703399 -0.0275037967  0.1115932300  0.0113135991 -0.0436265714  8.997991e-02
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## stat150   0.0240955145  0.0076630707 -0.0082705248 -0.0719677263 -0.0923003713 -0.0291059725  2.715299e-02
## stat151   0.0569090186 -0.0845014831 -0.0687228676 -0.0344969947  0.0471701405  0.0126206840 -5.868697e-02
## stat152   0.0037399558 -0.0319983908  0.0930962675  0.0230921126 -0.0052822272 -0.0506987441 -9.794639e-02
## stat153  -0.0037121224  0.0423789402  0.0872153971  0.0531324754  0.0673991739  0.0139200771 -7.209037e-02
## stat154   0.0515826868  0.1564825372 -0.0776284370  0.0967698880 -0.0878422955  0.0358166802  1.314892e-02
## stat155   0.0120043706  0.0366602834 -0.1059429734 -0.0034965290  0.0306950013 -0.1258000031 -1.428563e-01
## stat156  -0.0879827695  0.2218783502  0.1000055847 -0.0282224142  0.0249637470  0.0770379016  5.684998e-02
## stat157   0.0688637350  0.0234620544 -0.1361977529  0.0433322602  0.0299060479 -0.0295491742  1.880936e-02
## stat158   0.0112969201  0.0186834565  0.0107967575  0.0305151615 -0.0517982792 -0.0807920355 -1.020234e-01
## stat159  -0.0189871051  0.1630996322  0.0086380205  0.1261608629  0.0352578921  0.0449746876  3.197649e-02
## stat160   0.0041213945  0.0838508749 -0.0809304891 -0.0711321155 -0.0726897322  0.0291844421  1.650882e-02
## stat161   0.0990459415 -0.0186786734 -0.0527213690  0.0120263581 -0.0675153302 -0.0419135452  1.112447e-01
## stat162   0.0089751357 -0.0597864903 -0.0556237496  0.0219920998  0.0664262028  0.0240685679  7.335388e-02
## stat163   0.0448694985  0.0579270467 -0.0051681048  0.0427573432 -0.0401769432 -0.0681026123  1.092454e-01
## stat164   0.1122219149 -0.0698832215  0.0436223822  0.0062172363 -0.1254644239 -0.0178964011 -7.477892e-02
## stat165   0.0433932385  0.0749147607  0.0450465330 -0.0194078545 -0.0316114671 -0.0361744680 -1.105911e-01
## stat166   0.0611647929  0.0935959936 -0.0231571746 -0.0245575585 -0.0541340351  0.0153704774  8.218237e-02
## stat167  -0.0377979561 -0.0333549083  0.0461895056 -0.0048133834 -0.0991748288  0.0049259429 -9.788467e-03
## stat168  -0.0142534343  0.1134012281  0.1237687772 -0.0252554360  0.0847049913  0.0680994481 -1.296233e-02
## stat169   0.0165725801  0.1083807790 -0.0399431805 -0.0333531050  0.0051245831  0.0293820282  6.966265e-02
## stat170   0.0750758179 -0.1511724921  0.1240615380 -0.0562301685 -0.0561116867  0.0366553076 -2.597841e-02
## stat171   0.0388647725 -0.0340629570  0.0841980449  0.0085007820  0.0126029091 -0.0195739621 -4.530998e-02
## stat172   0.0193085628 -0.0807783674 -0.0173795059  0.0926101748  0.0095006640  0.1520583865 -1.324526e-02
## stat173  -0.0476994046 -0.0579574857  0.0576905862 -0.0594241585 -0.0331804620 -0.0551029279  2.228792e-02
## stat174  -0.0402024462 -0.1155368330  0.0112143084  0.1265223458  0.0894075312 -0.0458477279  6.197196e-02
## stat175  -0.0682904724 -0.0663885431 -0.0663433812  0.0654580269  0.0856622738 -0.0574935858  4.410099e-02
## stat176  -0.1135472267 -0.0123152661  0.1357326863 -0.0669787672 -0.0071243470 -0.1014101598 -6.952244e-02
## stat177  -0.0027929809  0.0019756872  0.1128935317 -0.0570392040 -0.0233964146 -0.0661618982  9.393053e-02
## stat178  -0.0872271431  0.0300069580  0.0267372003 -0.0736847874 -0.0734354615 -0.0345594424  7.708237e-02
## stat179  -0.0318663769 -0.0040826479  0.0552944260  0.0783893365  0.0019643610  0.0389744696  8.039933e-02
## stat180   0.0255786495 -0.0060910171 -0.0451121569 -0.0296184876 -0.0256850999  0.0652082944 -1.174342e-01
## stat181   0.0379130365  0.1180355979  0.0606817459 -0.0499137410  0.1370655803  0.0485551035 -1.888749e-02
## stat182   0.0854114043 -0.0118472299  0.0337291503  0.0473314705 -0.0599918443  0.0428529840  2.997041e-02
## stat183  -0.0215461856 -0.0194523514 -0.1007164811 -0.0679829080 -0.1147479896 -0.0474380796  3.825870e-02
## stat184   0.0202710508  0.0909214083 -0.0955030712  0.0511149610 -0.0009538909  0.1113376228  5.565374e-02
## stat185   0.0817519045 -0.0691711993 -0.0646692938 -0.0284648480  0.0226999452  0.0183827220 -1.624943e-02
## stat186   0.1272511934  0.0655054205 -0.1353587922 -0.0208523285 -0.0362295510  0.0425730083  1.940607e-02
## stat187   0.0937183986 -0.0455792928  0.0334530296 -0.1055570286  0.0914849673 -0.0462820916  3.658691e-02
## stat188  -0.0622803119  0.0146769465  0.0509467774  0.1236143370  0.0243916178  0.0451248735 -1.679206e-02
## stat189   0.0577046475 -0.0145675762 -0.0422663292  0.1179270282 -0.0310840323  0.0173242607  6.378627e-02
## stat190   0.0313651187 -0.1269288390  0.0545184564  0.0817817621 -0.0441812368  0.0951122703 -2.262222e-02
## stat191  -0.0591457099  0.0321235857  0.0567577712  0.0226961179 -0.0402773669  0.0053745467  3.775019e-02
## stat192   0.0549907085  0.0322254089  0.0167564422 -0.0408432561 -0.0882879165 -0.0362895952  9.958353e-02
## stat193   0.0158096436 -0.0175954166 -0.0316152515 -0.0952055699 -0.0361913234 -0.1003901962 -7.619871e-02
## stat194  -0.0529510440  0.0570159213 -0.0583015558  0.0198943032 -0.1224149572  0.0337107683  3.634383e-02
## stat195   0.0072921290  0.0555358386 -0.0802074681  0.1221649699 -0.0375300872 -0.1014783568  4.678266e-02
## stat196  -0.0094408445 -0.0548812317  0.0354167399  0.1996891747 -0.0733570207  0.0948296822  6.871981e-02
## stat197   0.0454306670 -0.0378260684  0.0151729619 -0.1088072095 -0.0092806914 -0.1125587180 -3.566507e-02
## stat198   0.0494061421  0.0595447740  0.0563788513  0.0342836214 -0.1349110707  0.0700367264  1.642388e-02
## stat199  -0.0334342638 -0.1578154809  0.0298569984  0.1130540779  0.1343027482 -0.1084921714 -1.492657e-02
## stat200   0.0338718149 -0.0197323394 -0.1288106910  0.0692687156  0.0063134962 -0.0421874788  1.504895e-01
## stat201  -0.0507159198  0.0215103970 -0.0218400346  0.0309794127 -0.1753662096 -0.0305075445 -5.904720e-02
## stat202   0.0170219747  0.0690054118  0.0447944486  0.0226729263  0.1101499467 -0.1407564022  3.335966e-02
## stat203   0.0299665967 -0.0206696377  0.0247906430 -0.0592556606  0.0464150976  0.0125550633  2.609719e-02
## stat204   0.0135504741 -0.0098096186  0.0688676638  0.0143791780 -0.0501935056 -0.0431042235 -6.846231e-03
## stat205   0.0183003181  0.1014257680  0.0531837157  0.0032592518  0.0079777326 -0.0398489896 -4.416396e-02
## stat206  -0.0399345266 -0.0166829173 -0.0181328098 -0.0232789535  0.0237464562  0.0227014615  4.363971e-03
## stat207  -0.0533794191 -0.0774486305 -0.0361150329 -0.0759538812 -0.0321439064  0.0841995113 -2.053639e-02
## stat208   0.0293483136  0.0079718828 -0.0178544944  0.0078298122 -0.0074271620 -0.1627150595  1.315675e-02
## stat209   0.0133615242 -0.0348916152 -0.0144639109 -0.0088291949  0.0048633279  0.0262796149  1.091859e-01
## stat210   0.0370053257  0.0446737539 -0.0526791118 -0.0691203754  0.0264630065 -0.0124945673  2.711498e-04
## stat211  -0.0387947489  0.0474655135  0.0575539580  0.0079785419 -0.0204595943 -0.1426572458 -1.422510e-02
## stat212  -0.0859267715 -0.0387875837 -0.0182377284 -0.0606513189 -0.0844071559 -0.0571413643  2.813868e-02
## stat213  -0.0607919648 -0.0476539023 -0.1528507250  0.0159732297 -0.1149490875 -0.1018312452  8.290454e-02
## stat214   0.0584351910 -0.0851946786 -0.0541003275 -0.0246650186 -0.0262964450  0.0222946458  7.355913e-02
## stat215   0.0447454297 -0.0356735800  0.0152126079 -0.0055779732  0.0345406364  0.0130203773  8.428042e-02
## stat216  -0.0404486739  0.0252572720  0.0440298241 -0.0752396334  0.0062886200  0.0434430928 -5.659516e-02
## stat217   0.0289412577  0.0680101220 -0.1364995762  0.0266377894  0.0136810367 -0.0001517157 -2.263573e-02
## x18.sqrt  0.0267777727  0.0843561274  0.1183051830 -0.0257923384  0.0754281591 -0.0565642913 -1.902580e-02
##                   PC15          PC16          PC17          PC18          PC19          PC20          PC21
## x1       -0.0581032578  0.0618240028 -2.414626e-02  0.0581730797 -0.0602099423  0.0342957908 -0.0828717824
## x2       -0.0383286629 -0.0232839871 -5.601465e-03  0.0773085348  0.0862859572 -0.0117928034  0.0055128808
## x3       -0.0284194172  0.0080083286  9.388249e-02 -0.1172667062 -0.0440716886  0.0012511482  0.0402609435
## x4       -0.1117331361  0.0684021673  1.033153e-01 -0.0618577300  0.0315556759 -0.0424243666  0.0586973677
## x5       -0.1246064879 -0.1073681338  1.009716e-01 -0.0510279467 -0.0173464447  0.0221170634 -0.0329805187
## x6        0.0106462840  0.0688017284  2.992592e-02 -0.0576225110 -0.0090772041 -0.0026437603  0.0560277533
## x7        0.0184762261  0.0205619478  5.723617e-02  0.1165435567  0.0630277349 -0.0793468749  0.1219437163
## x8        0.0024092659 -0.0669768158 -1.801651e-02 -0.0219609707  0.0399790464 -0.0007255967 -0.0739507207
## x9        0.0050429370 -0.0760408792  3.096603e-02 -0.0699188141  0.0008192004  0.0384280404 -0.0175475341
## x10       0.0921280749 -0.0559745791 -2.402719e-02 -0.0232658736 -0.1404899307 -0.0223224582  0.0499770397
## x11       0.0290110681  0.0713423998  8.307470e-02  0.0938081040  0.0475052022  0.0193339847  0.0058913119
## x12      -0.0580800040 -0.0404236060  5.375156e-02  0.0606408046  0.0814991949 -0.0066015075 -0.0978700811
## x13       0.0779905681  0.0457617202  4.018870e-02  0.0432315926  0.0457629038  0.0648503219  0.0335127223
## x14       0.0289285750  0.0224669184  1.820586e-02  0.0869238530 -0.0127358431 -0.0916036016 -0.0198345230
## x15      -0.0972039685  0.0828294392 -9.580892e-03  0.0199544066  0.0758786662 -0.0311342395 -0.0469541222
## x16       0.0731506512 -0.0829907771 -8.238087e-02 -0.0520799016  0.1302028029 -0.0504907832  0.0153410872
## x17      -0.0338355715 -0.0392712678 -7.439543e-05 -0.0058665855  0.0158605713 -0.0405034332  0.0338220717
## x19       0.0408706958 -0.0492370003 -5.627977e-02  0.0614449620 -0.0227840174 -0.0106227718 -0.0004263233
## x20       0.0958587100  0.0680162386  1.023347e-02  0.0137816488  0.0804844697 -0.0537729406 -0.0343998287
## x21      -0.0223631407  0.0551013726  3.324041e-02 -0.0163377983  0.0102795789 -0.0625079705 -0.1567358460
## x22      -0.0647793167 -0.0060592046  1.102800e-02  0.1208918770 -0.0445348803 -0.1055763596 -0.0049246273
## x23       0.1225398409 -0.0136552516  1.853777e-02 -0.0235656199 -0.0333750731 -0.0399729264  0.1323939103
## stat1     0.0066074260 -0.0104986821  5.491470e-02  0.0228064183 -0.0022632029  0.0883718472 -0.0153690489
## stat2    -0.0590964022  0.0400090172 -6.401341e-02 -0.0441533729 -0.0647451928 -0.0308249209 -0.0384109269
## stat3    -0.0402036386 -0.0593203312  3.819033e-02  0.0095223180  0.0881016290 -0.0729529782  0.0012274160
## stat4    -0.0808339106  0.0997463560 -7.666058e-02  0.0436834047  0.0186342033  0.0492916513 -0.0258805041
## stat5    -0.0249386686  0.0747947997  1.994888e-02  0.0169663978  0.0195626892  0.1426953889  0.0932162446
## stat6    -0.0371904760  0.0750129681  3.724653e-02  0.1514633012 -0.1058972936 -0.0119504843 -0.0098636289
## stat7     0.0537263074 -0.0377159108 -7.261376e-02 -0.0778881549  0.0340513323 -0.0078404855 -0.0323902736
## stat8    -0.1218054637 -0.0803206322 -9.081144e-02  0.0170771700 -0.1364147228  0.1471162798  0.0410026080
## stat9     0.0852100128 -0.0640759634  3.348263e-02  0.1346903546 -0.0293041681 -0.0240122817 -0.0415277591
## stat10   -0.0068691074 -0.1186970951  1.129452e-01 -0.0715395136  0.0064429326 -0.0273599423 -0.0693396539
## stat11   -0.0534636357  0.0116870035  7.301351e-02 -0.0575144730 -0.0369981565 -0.0701293544  0.0069621485
## stat12   -0.1238224516 -0.0025809839  9.713286e-02  0.0668214456 -0.0249173614 -0.0018320170 -0.0726051721
## stat13   -0.1309941605  0.0376676500  3.222972e-02  0.0105094948  0.0295139356  0.0545017446  0.0006980749
## stat14   -0.0033247636  0.0085704896 -1.316557e-01  0.0438238250  0.0111226852 -0.0428660905  0.0317808340
## stat15   -0.1647945821  0.0822189367 -8.186534e-02  0.0007832040 -0.0307288533 -0.0583556216 -0.0154085621
## stat16    0.0309505569 -0.0472271022  9.170927e-03  0.0041591867 -0.1464281312  0.0733756110  0.0802292229
## stat17    0.0018022597 -0.0264127904 -6.939701e-02 -0.0319133665  0.0334952465 -0.0383208398 -0.0098023069
## stat18   -0.0444189644 -0.0429717370 -1.781850e-02  0.0670819792  0.0792493439 -0.0420428116 -0.1165214399
## stat19    0.0504288000 -0.0567103048 -5.195351e-02 -0.0322343519  0.0658861146 -0.0100100129  0.0767708714
## stat20   -0.0398417779  0.0247576371  3.371302e-02  0.0387814752 -0.0003936548 -0.0398718323  0.0506346255
## stat21    0.0246956664  0.1104086936 -8.294317e-02 -0.0268373349 -0.0496362327 -0.0994454940 -0.0176206992
## stat22   -0.0242560453 -0.0902449194  6.396296e-02  0.0372418931 -0.0763629801  0.0283454975  0.0173052824
## stat23    0.0778159764  0.0549329692 -8.739645e-03  0.1188206712 -0.0527329455  0.0931101971 -0.0955541683
## stat24    0.0745407876 -0.0490425696  1.853500e-02  0.0815345430 -0.0463269130 -0.0255014567  0.0209595532
## stat25    0.0892914632  0.0888904955 -9.989387e-02 -0.0017814592 -0.0247138435  0.0963594939 -0.0646290433
## stat26   -0.0569291625 -0.1077900013  5.436507e-02  0.1215152778 -0.0272007043 -0.0804400076  0.0060943206
## stat27   -0.0767021373 -0.0503164125 -8.352415e-02 -0.0946366546 -0.0288167205  0.0017210130 -0.0132415517
## stat28    0.0157501591 -0.0625779636 -8.320385e-02  0.0828442568  0.0961433388  0.0392595267  0.1211212610
## stat29   -0.0467920233  0.1668126656  2.663958e-02  0.0722981186 -0.0397220336  0.1076533846  0.1152489513
## stat30    0.0142835404 -0.0187011696 -8.208076e-02  0.0624502645  0.0183487876  0.0340934472 -0.0618027049
## stat31    0.0340939968  0.0348441255  1.071692e-02 -0.0659753051  0.1064595896 -0.0466794660  0.0253881926
## stat32    0.0774982590  0.0402409897 -2.247018e-02  0.0514159225  0.1923650045  0.0564940704 -0.0998030498
## stat33    0.0257588326  0.0090929741 -4.241465e-02  0.0561300034  0.0465280804 -0.0112183905 -0.0259097072
## stat34    0.0076660234  0.0430810694  3.405509e-02 -0.0804911832  0.0040243444 -0.0635879517 -0.0165257722
## stat35    0.0158669194 -0.0248628735  8.737962e-02 -0.1209725464  0.0185314200 -0.0099291336 -0.1035999424
## stat36    0.0023225972  0.0087841868  5.958571e-02 -0.0327085748 -0.0624642624  0.0023646081  0.0580541482
## stat37    0.1137155294 -0.0003758647 -8.125627e-02 -0.0235176623  0.0111436895  0.1052854504  0.0383078899
## stat38   -0.0406788488 -0.0067608608 -2.872357e-02 -0.0687335508 -0.1004458191 -0.1129899106 -0.0349585988
## stat39   -0.1064621907  0.1232842290  5.074684e-02 -0.0150789151  0.0700328348  0.1233134253  0.0154536341
## stat40   -0.0207264311  0.0708522280 -2.319319e-02 -0.0439299777 -0.0126616226 -0.0483893603  0.0443940629
## stat41    0.0627806892 -0.0330928526 -3.770190e-02 -0.0021303312  0.0507617594  0.1733164634 -0.0511146600
## stat42    0.0073492887 -0.0420158826 -8.505973e-03  0.0230181978  0.0674511375  0.0236590093 -0.0417107388
## stat43   -0.1593624032  0.1078146195  1.266236e-02 -0.0218211191 -0.0286330889 -0.0236612111  0.1302783855
## stat44    0.0331892827 -0.0045902665  3.415765e-02  0.0116086136  0.1040099302  0.0163438516  0.1008633298
## stat45    0.0093530456  0.0706953163  8.943136e-02  0.0550773617  0.0438633942 -0.0958664450 -0.1506802257
## stat46   -0.0233030101  0.0426661086 -7.095926e-02 -0.0548091752 -0.0230352999  0.0557570866  0.0084065925
## stat47    0.0318472706 -0.1156671347 -1.737097e-02 -0.0275112881  0.0042918484 -0.0048635144  0.0688113395
## stat48    0.0088035317  0.0172767612  2.597484e-02  0.1213152381 -0.0039115346  0.0571572263  0.0303629259
## stat49    0.0054339048  0.0300614510  3.918010e-02  0.0117674334  0.0655712125 -0.0392422226 -0.0220697216
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## stat190   0.0399148685 -0.0308026665  1.475931e-02  0.0613392495 -0.0110689261  0.0545304870  0.0119936013
## stat191   0.0882045133  0.0524354332  2.267290e-03  0.0508236585  0.0995470432 -0.0095836025  0.0736883077
## stat192   0.1110984761 -0.0225373772  1.648818e-01 -0.0173206646 -0.1525088011  0.0071793827 -0.0374556435
## stat193   0.0002511155 -0.0642475884 -4.414639e-03  0.0265965708 -0.0844854028  0.0560094293  0.0161128205
## stat194  -0.1397337423 -0.0519849720 -1.536416e-01 -0.0498121292  0.0989812802  0.0701550451  0.0508520146
## stat195   0.1429804875  0.0527820003  1.507152e-02 -0.0019592069 -0.0261963893  0.0555413079 -0.0359561931
## stat196   0.0414463986  0.1177642659  1.152417e-02  0.0200755213  0.0475021992  0.0632464174  0.0514854150
## stat197  -0.0204734231 -0.0653871304  6.199723e-02  0.0043132986  0.0356680902  0.0594949151  0.0167045622
## stat198  -0.0056013724 -0.0142342278 -1.085130e-04 -0.0999326848  0.1014866191 -0.0805105019  0.0473245111
## stat199  -0.0368353740 -0.0277323172 -2.156124e-03 -0.1004488479 -0.0522655220  0.0180963679  0.0424649340
## stat200   0.0234230234 -0.0680061029 -8.373429e-03  0.0292676773  0.0097043098  0.0471130223  0.0180136886
## stat201   0.0966906699 -0.0133962509  8.605522e-02 -0.1317562769  0.0403707871 -0.0010010192  0.0009054908
## stat202  -0.0928363868  0.0143393128  8.273281e-02  0.0292141880 -0.0409592349  0.0180358527  0.0962080038
## stat203   0.0011469532 -0.0655952602  5.212388e-02  0.0369875994 -0.0736786979  0.0221380043  0.0621964251
## stat204  -0.0749581122 -0.1313109450 -3.419690e-02 -0.0738405018  0.0257214355  0.0099585209 -0.1001581556
## stat205  -0.0596278733 -0.0793772808  2.455836e-02 -0.0705780954  0.0231638351 -0.1255671681 -0.0321023837
## stat206  -0.0664732240  0.0483932330  1.739984e-01  0.1010655560 -0.0319147697 -0.1078070175  0.0007220443
## stat207   0.0233617153  0.0970433384 -1.049553e-01  0.1694730737  0.0823814309 -0.0167269333  0.1476539305
## stat208   0.0007953123 -0.0827735929 -1.719491e-02  0.0759043004  0.0878616877  0.1340791165  0.0184328047
## stat209   0.0606270817 -0.0153042830  7.472576e-02  0.0465893331  0.0200395987  0.0181192229  0.0916788582
## stat210  -0.0075482160 -0.0603313892 -1.392002e-01 -0.1313489326 -0.0141089852 -0.0547639709  0.0443220953
## stat211   0.0877091204 -0.1035264560 -9.402831e-02  0.0643144864  0.1511185055  0.0617927707  0.1209326363
## stat212  -0.0436990070  0.0592662160 -1.435205e-01 -0.0313495032 -0.0473990558  0.0592910083 -0.0812620033
## stat213   0.0552404477 -0.1639051600  2.676559e-02  0.0223971863  0.0548476832 -0.0207491580 -0.0555248578
## stat214   0.0267563432 -0.0138540717 -7.657907e-02  0.0082820635 -0.0518376733 -0.0470258115  0.0145819636
## stat215  -0.0244623563 -0.0043728184 -1.009737e-01  0.0206316697  0.0157040875 -0.0473189167  0.1750363824
## stat216   0.0798560437 -0.0247833233  1.747798e-02 -0.0389251283 -0.0141341891 -0.0170566114 -0.1118597532
## stat217  -0.0293008714 -0.0478089235  8.526800e-02  0.0860435526  0.0117326854 -0.0535453995  0.0070273159
## x18.sqrt  0.0312115221  0.0235342999  5.206784e-03 -0.0604479018  0.0188152635 -0.0399024954  0.0519286067
##                   PC22          PC23          PC24         PC25          PC26          PC27          PC28          PC29
## x1        1.425838e-02 -0.0566892358  0.0141877259 -0.065294555  0.0016954635  0.0717256502 -0.0105745071  0.1488163170
## x2        1.212618e-01  0.1260496305  0.0205691701  0.045748114 -0.0411091590  0.1071639077 -0.0665057388  0.0394339290
## x3       -1.269646e-02  0.0293015476 -0.0790205884 -0.005255768  0.0173458020  0.0198275916 -0.0506679184 -0.0280180542
## x4       -4.441887e-02  0.0703013537  0.0346970527 -0.101862630  0.0155649715 -0.0646071909  0.0216663583  0.0456028161
## x5       -7.430240e-02 -0.0395605448  0.0548577202 -0.022252488  0.0916450197 -0.0275943735 -0.0658248131 -0.0005555132
## x6       -8.494125e-02 -0.0016246308  0.1008285924  0.101790984  0.0069084277 -0.0555808757  0.0848067065  0.0553494332
## x7       -4.000182e-02 -0.0338210170  0.0015441095  0.039300604 -0.0942095803  0.0289233144 -0.0073091612  0.0417571782
## x8        1.092021e-01  0.0454433038  0.0226027624 -0.033013654  0.0326697870 -0.0279151707 -0.0018189360 -0.0205111106
## x9       -1.116485e-01  0.0399486063 -0.0216612212  0.034220933 -0.0087389370  0.0313532650 -0.0933568692  0.1291707053
## x10       1.186405e-01 -0.0578275566  0.0706288176 -0.098595195 -0.0093613333 -0.1250519305  0.0288554816 -0.1321911454
## x11      -6.036284e-03  0.0005299871  0.0092731794  0.055752012 -0.0893551804 -0.0469363609 -0.1158200228 -0.0383245285
## x12       2.643206e-02 -0.0558261480 -0.0911900805 -0.036166046 -0.1592172882 -0.0175260726 -0.0143225860 -0.0019300161
## x13      -8.475267e-02 -0.0110506592  0.0439843935  0.074295701 -0.1036221588  0.0052813480 -0.0772034676  0.0203192850
## x14       3.458551e-04  0.1076850203  0.0036189207 -0.077598414 -0.1045499222  0.0247688482 -0.0307541188 -0.0545778687
## x15      -5.399044e-02 -0.0232389623  0.1037123592 -0.120850460  0.0938006066 -0.0960107401  0.0198964753 -0.0133773908
## x16      -5.083870e-02  0.0291486243 -0.0066828131  0.048748435 -0.1307464149  0.0931146526  0.0051727470  0.1110688937
## x17      -3.469152e-02 -0.0662543527 -0.0681828570 -0.030310875  0.0806606798  0.0709550578 -0.0962640178 -0.1060723024
## x19      -9.896253e-02  0.0142004948  0.0086367763 -0.006601718 -0.0267890119 -0.1336765608 -0.0439962646  0.0709230184
## x20       6.252643e-03 -0.1134964261 -0.1339941855 -0.113355028 -0.0233261579 -0.0874289995 -0.0801246391  0.1038937703
## x21      -1.782005e-01  0.0007798122  0.0298596420  0.037134934 -0.0005550478  0.0878673525  0.0067787878  0.0259124759
## x22      -6.340698e-02 -0.0905412403  0.0450921544 -0.008607589  0.1616184599  0.0433281492 -0.0012152805 -0.0122483172
## x23      -1.090884e-01 -0.1066369826  0.0021071521  0.097812730  0.0371389852  0.0462304281 -0.0154461784 -0.0303028576
## stat1     2.143919e-02 -0.0388398359 -0.0052809821 -0.095882183  0.0168860456  0.0125757674  0.0438243787  0.0018537811
## stat2     1.912253e-02  0.0443464041 -0.0271600718 -0.097970143 -0.0730528626 -0.0732032998 -0.0858182294 -0.0399601449
## stat3     3.725743e-02 -0.0334921941  0.0435381949  0.010160062 -0.0063433383  0.0972078986  0.0159175819  0.0275105792
## stat4     4.452379e-02 -0.0401272416  0.0785623417  0.067980618  0.0261592229  0.0570968971 -0.0698450744 -0.0068564112
## stat5     6.505209e-02  0.0654506900  0.0581273391  0.060620950 -0.0723110771 -0.0309452430  0.0631029143  0.0918340711
## stat6     5.873572e-03 -0.0020090460  0.0368440458  0.071590869  0.0103067359 -0.0451344690 -0.0479726532  0.1432133182
## stat7     8.173148e-03 -0.0519594014  0.0601343863 -0.076366483 -0.0679249979  0.0026999395 -0.0391042160  0.0004504449
## stat8     1.519880e-01 -0.0604339453 -0.0156535959  0.143392353 -0.0161509433  0.0237695345 -0.0745050429 -0.0231610693
## stat9     5.949013e-02 -0.0334411064 -0.0320986204 -0.023685941 -0.0063590834  0.0585249644  0.0008894509  0.0399054753
## stat10    8.160125e-02  0.0450450176 -0.0170753861 -0.036013220  0.0446390371  0.0867890418  0.0959560151  0.0586912716
## stat11   -1.072699e-01 -0.0309712675 -0.0851351656 -0.029614149 -0.0209802531  0.0072789643 -0.0634458740  0.0016118065
## stat12   -2.127523e-02  0.0068179358  0.0778160181 -0.020108241 -0.0007558271  0.0132634763 -0.0731759753  0.0940554058
## stat13    8.829100e-02  0.0613273389  0.0368386754  0.024261107  0.1016865084  0.0813925888  0.0031663078  0.0772155495
## stat14    8.057165e-04  0.0146550560 -0.1068470336 -0.030957960 -0.0380205860 -0.0270993713  0.0622241831 -0.0419235753
## stat15   -1.133430e-01 -0.0542682335  0.0246754074  0.057320639 -0.1332521938  0.0091307061  0.0267671407 -0.0119877867
## stat16   -1.216591e-02 -0.0338097579  0.0449509608  0.003716862  0.0742274002  0.0337368496  0.0032964537 -0.0589697475
## stat17    1.504616e-01 -0.0200504301 -0.0344400501  0.051704107  0.0392534942  0.0084506216 -0.0352398646  0.0310954818
## stat18    1.365613e-02  0.0145269967 -0.0873758184 -0.040765049 -0.0159190845  0.0461835011  0.0175876637 -0.0984021067
## stat19    1.795684e-02  0.0689381497 -0.0689716173 -0.008870778 -0.0119755535  0.0767155672 -0.0243190092 -0.0280622851
## stat20    5.109013e-02 -0.0489707426 -0.0145024023  0.043982110  0.0261626192  0.1312991841 -0.0877964302  0.1317046801
## stat21   -4.062497e-02  0.1465006559  0.0323378730  0.076246619 -0.0115640399 -0.0458737848 -0.0243633508 -0.0078070772
## stat22    5.646900e-02  0.0059931602  0.1021072885 -0.121737800  0.0518244123  0.0220182967 -0.0829774094 -0.0152032786
## stat23   -6.554449e-02  0.0035897493  0.1191050371 -0.116366252  0.0850993720  0.1110046688 -0.0745374038  0.0231568494
## stat24   -8.385683e-02  0.0350015872  0.1053607760 -0.144567311 -0.0846834863  0.0750923476  0.0819248548  0.0701428202
## stat25    4.574387e-02 -0.0998637327  0.0191967258  0.081399176 -0.0922064330  0.0628573669 -0.1313416307  0.0204268430
## stat26    2.960486e-03  0.0675978563 -0.0110627265 -0.061170509 -0.0021425009  0.0449092803  0.1183734479  0.0374076571
## stat27   -3.707811e-03 -0.1063890353  0.0101145478 -0.024313101 -0.0553216628 -0.1116346362  0.0430372276  0.1818385851
## stat28    4.141294e-02 -0.0370792402  0.0815505775 -0.022052928  0.1091320855 -0.0809854999  0.0277230289  0.0006180885
## stat29    3.741757e-03  0.0570845740  0.1017731248 -0.074110620 -0.0563244954  0.0020228132  0.0116528367 -0.0195627246
## stat30    2.893989e-02 -0.0871913187  0.0429283403  0.025300888  0.0146671451 -0.0703873750 -0.1140179245 -0.0247063797
## stat31   -1.709191e-02  0.0866689657 -0.1029235264 -0.036984343  0.0946422626 -0.0861531364 -0.0918032703 -0.0432852629
## stat32    5.479413e-02 -0.0824647426  0.0266270215 -0.090619199  0.1028037697 -0.0305590147  0.0986642329 -0.1055320724
## stat33    2.399503e-02 -0.1300713050 -0.0424463329  0.062296683 -0.0058098351 -0.0674318410 -0.0768002310  0.0294159216
## stat34   -1.565595e-02 -0.1194295153  0.0914210327 -0.045496543  0.0668912215 -0.0505466854  0.0186657279 -0.0296232646
## stat35    2.886361e-02 -0.1124349363  0.1025858174  0.014287759  0.0071184780 -0.0469567534  0.0099267944  0.0291258561
## stat36    2.755647e-02  0.0791863104  0.0528817952  0.045671412 -0.0211405127  0.0152351953 -0.0123069755  0.0440461275
## stat37   -2.197142e-02  0.0475790709 -0.0323326287  0.104883690  0.0757771408 -0.0644352708  0.0404287027 -0.1019190753
## stat38   -7.412375e-02 -0.0583570224 -0.0233297513  0.046320824  0.0392349846 -0.1352573094 -0.0286116358 -0.0601384523
## stat39   -7.057074e-02  0.0608537954 -0.0071853419  0.030623598  0.0718882376  0.0190963587  0.0126641631 -0.0934870887
## stat40   -2.385643e-02  0.0134098849 -0.0019877412  0.025870486 -0.0239643813 -0.0424431515 -0.0188685467 -0.0290123358
## stat41    3.668518e-02 -0.0142809440  0.0205809306 -0.014299440 -0.0424870808  0.0789858387 -0.1091170251 -0.0728205831
## stat42    8.096666e-02 -0.0025029238  0.0523355346  0.028070550 -0.0250977933 -0.0163405081 -0.0974780853 -0.0173951485
## stat43    5.288080e-02  0.0115472707  0.0039817000 -0.048944356 -0.0146722291 -0.0231535985  0.0935267049 -0.0900090372
## stat44   -2.843871e-02  0.1098500389 -0.0032813299  0.057047444 -0.0498315981  0.1291882868 -0.0228355949  0.0258478443
## stat45    1.178342e-01 -0.0020047570  0.0040090308 -0.015855131  0.0293839874  0.0965722538  0.0570891642 -0.0129845566
## stat46    1.051280e-02  0.0914925312  0.0749023910 -0.097126362 -0.0974181846 -0.1008651074 -0.0115116258 -0.0331744036
## stat47    2.459868e-02  0.0744312761 -0.0134190601 -0.059083239  0.0686834306  0.0990895080 -0.0411804939 -0.0350877896
## stat48   -5.961108e-02  0.0995797220 -0.0445407470  0.040079975  0.0272016838  0.0354750944 -0.0510457436 -0.0432199127
## stat49    6.505970e-02  0.0028942839  0.0908360809  0.080166757 -0.1136702528 -0.0766412793 -0.0059131577 -0.0218828810
## stat50    3.398519e-02 -0.0160040093 -0.0436712134  0.002806250  0.0582966333 -0.0438376432 -0.0257973602  0.0425732750
## stat51    6.234211e-02 -0.0004580993 -0.0525073991  0.057351021  0.1411852481  0.0178383495 -0.0240195517 -0.0024214323
## stat52   -3.140793e-02  0.1118407334 -0.0261621560 -0.065104702 -0.0429737303 -0.0630795301 -0.0821779979 -0.1004348863
## stat53    6.938955e-02 -0.0330482933 -0.1660065681  0.004977908 -0.0428792890 -0.0371628878 -0.0853791185 -0.0325374183
## stat54   -3.891447e-02  0.0095126477 -0.0253108166  0.028045476 -0.1058412561  0.0182406202  0.0356608144 -0.0398500008
## stat55    9.161362e-03  0.0163797542 -0.0839468745 -0.016954004  0.0453290009  0.0046622056 -0.0929090461  0.0559712798
## stat56   -5.023226e-02 -0.0714325654  0.0302132140  0.001867885  0.0267537929  0.1152520522  0.0427216512 -0.0102324364
## stat57    9.693898e-02  0.0118577713  0.1205964953  0.106212510  0.0711891467 -0.0304669135 -0.0087615688 -0.0851379731
## stat58   -6.422384e-02  0.0695428788  0.0950424260 -0.034936718  0.0408820440  0.0621263914  0.0461198029  0.0879144905
## stat59    3.265296e-02 -0.0964700808  0.1172194725 -0.078696181  0.0530422916  0.0238880643 -0.0161826979 -0.0212342504
## stat60   -1.471623e-02  0.0836172449 -0.1050229552 -0.042167891  0.0452340352  0.0805938623  0.0710986882 -0.0138626236
## stat61    1.478906e-03 -0.0350413982  0.1206910027  0.045560618  0.0419295792  0.0608736443 -0.0588541111 -0.0101682020
## stat62    3.361900e-02 -0.0495151995  0.0936457649  0.013781197 -0.1312737718  0.0133247668 -0.0501282160 -0.0382135664
## stat63   -4.824476e-02 -0.0764708754  0.0740080720  0.068139431 -0.0743858447 -0.0461195844 -0.1510594076 -0.0391169697
## stat64   -1.220447e-01 -0.1122712816 -0.0702759319 -0.074502985 -0.1041852548 -0.0045885352  0.0094798171  0.0042819154
## stat65   -6.638742e-02  0.0473621613  0.0275033454 -0.062415316  0.0113146224  0.0258034924  0.0095788791 -0.0401271555
## stat66    4.810852e-02 -0.0668619897  0.1049156525 -0.040373670 -0.0084883576  0.0127984301  0.0143071161 -0.1305587314
## stat67    3.890180e-02 -0.0278777516  0.0015804937  0.032469885  0.0013248720 -0.0308986147 -0.0304339933 -0.0265486195
## stat68   -2.287580e-02 -0.0671612342  0.1167970553  0.017825004 -0.0372396107  0.1821397185  0.0540407645 -0.0630545154
## stat69    3.707015e-02  0.0195558398  0.1001714371 -0.007766892  0.0156510645 -0.0013134243  0.0424462538 -0.0735460587
## stat70    1.296960e-01 -0.1935698802  0.0242879088 -0.056131584  0.0023836449  0.0190580460  0.1672504510  0.0262740625
## stat71   -9.792118e-02  0.0033055806 -0.0070022174 -0.043901500  0.1375846601  0.1802527495 -0.1191789220 -0.0023320282
## stat72   -4.268976e-03 -0.0781386610  0.0550858742 -0.110619008  0.0437921685 -0.1332651745 -0.0886777108  0.0165480652
## stat73    4.322108e-03 -0.0562391159  0.0621784379  0.145114940  0.0087236649  0.0351689003 -0.0398964586 -0.0268180540
## stat74    8.044779e-02  0.0377444919 -0.0712246599  0.039234122 -0.0012422572 -0.0166126278 -0.1101757694  0.0468922971
## stat75    3.351562e-02  0.0827233337 -0.0158001724 -0.171883936  0.0253384649 -0.1124486890  0.0014238155  0.0941925294
## stat76    2.748370e-02 -0.0152183870  0.0562900482 -0.077619676  0.0623839178 -0.0964853492 -0.0106329691 -0.0279024733
## stat77   -6.917115e-02 -0.0087286684 -0.0140373710  0.028818879  0.0204086004  0.0550958235  0.0185930306  0.0521760896
## stat78   -3.769099e-02  0.0227289821  0.0004224144 -0.009955177 -0.0047062158  0.0175719114  0.1153270160 -0.1065758522
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## stat203   6.967617e-02  0.0444261483  0.0700834449 -0.038780786 -0.1124162592 -0.0483338964 -0.1217721942 -0.0967398662
## stat204  -1.739692e-04 -0.0275420890 -0.0043160380 -0.007155146 -0.0369000428 -0.0013158878 -0.1109796554 -0.0232282284
## stat205  -4.667126e-02  0.0142576256  0.1951524620  0.096803203  0.0034475620  0.1225442666 -0.0517932052  0.0194158610
## stat206  -7.132574e-02 -0.1283432503 -0.0284120316  0.084163208 -0.0928291605 -0.0884214619 -0.0086405148  0.0055428425
## stat207   4.063785e-03 -0.0450393781 -0.0015631840  0.035464430 -0.0130380410 -0.0479938022 -0.0366490751  0.0298668676
## stat208  -3.769056e-02  0.0175307660  0.0406692894 -0.016039344  0.0049642557 -0.0164796711 -0.0106796589  0.0989129303
## stat209   1.091200e-02 -0.0690854225  0.0236173401  0.023441132  0.1181303763  0.0206552384 -0.1284690774  0.0827835260
## stat210   2.215505e-02 -0.0206401836 -0.0216711097  0.121212841 -0.0196349163 -0.1210736885  0.0197380910 -0.0349011769
## stat211  -4.829690e-02 -0.0032751191  0.0236155345  0.024824041  0.1120161489 -0.0028188941  0.0132317888 -0.1188962907
## stat212  -1.240324e-01 -0.0235172958  0.0751762409  0.025717323 -0.0240586712 -0.0206245733 -0.0164650005  0.0339808100
## stat213  -2.480803e-03 -0.0595277101  0.1062107039 -0.127637896 -0.0890718150  0.0282273362 -0.0448040016 -0.0512519870
## stat214   8.932803e-02  0.0533980962  0.0092889623  0.025898871 -0.0191285456  0.0545814853  0.0275553338 -0.1678501789
## stat215   2.334932e-02 -0.0493696582 -0.0160391054 -0.087910215  0.0280871810  0.0322554088 -0.1552615690  0.0742871438
## stat216  -4.097706e-02  0.0693946772  0.1405875244 -0.081714645 -0.0296773802 -0.1637265023  0.0265826509  0.0151997222
## stat217  -1.748702e-01  0.0398945481 -0.0219920230 -0.124770329  0.0310955910  0.0675742505 -0.0208749290 -0.0795375485
## x18.sqrt  3.718478e-02 -0.0654043599 -0.0393002610  0.042844288  0.0689948211  0.0666447770  0.0686304431 -0.0508998354
##                   PC30          PC31          PC32         PC33          PC34          PC35          PC36          PC37
## x1       -1.443711e-02 -0.0372247210  3.282208e-02 -0.054488388  0.0372127312 -0.0124433739 -0.1637755578  0.0248271927
## x2       -3.269196e-02 -0.0078160379  5.754990e-02 -0.040422400 -0.1065775940 -0.0081351581 -0.0457400439  0.0053094782
## x3       -6.383861e-02 -0.0492498741  1.337522e-01 -0.039807202 -0.0393710697 -0.0109704121 -0.0266588383 -0.1641606731
## x4        2.621108e-03 -0.0290130845  7.066233e-02 -0.102711731 -0.0103134891  0.0315542051 -0.0003759016 -0.0530410698
## x5       -3.022403e-02  0.0245029503 -3.312756e-02  0.014493270 -0.0025195281  0.0179026205  0.0576674146  0.0965669795
## x6       -4.803278e-02  0.0053506775  2.488092e-02  0.045671301 -0.0621498755  0.0800302477 -0.0193005165 -0.0278632709
## x7        1.327239e-02  0.0034808065 -6.126428e-02 -0.026211302 -0.1121311450  0.0252589152 -0.1105612377  0.1214853365
## x8        1.220477e-01 -0.1019746651  9.218519e-02  0.015930489  0.0224089980  0.0319750500  0.0501323277 -0.0886774361
## x9       -7.230753e-02 -0.0732988730 -3.232892e-02  0.009909588  0.0985928656 -0.0735788341  0.0309054224 -0.0013111076
## x10      -4.582003e-02 -0.0520473973 -1.967709e-02  0.023065687  0.0589190346  0.1121920387 -0.0011434750 -0.0390205486
## x11       6.082079e-03  0.0159551241  5.605051e-03  0.063264177  0.1186487115  0.0787873572 -0.0911297064  0.0194155574
## x12      -1.350687e-03 -0.0139894437 -5.716063e-02 -0.069793095 -0.0019398712 -0.0674021654 -0.1548767856  0.0185096592
## x13       1.818235e-02 -0.0771313206 -2.490354e-02  0.013789889 -0.1149846044  0.0571739039  0.0319485920 -0.0492404389
## x14      -5.772963e-02  0.1251149940 -4.906429e-02  0.029484290  0.0806683083 -0.0391749867 -0.0370625200  0.0453322147
## x15       4.266438e-02 -0.0268693947  3.788255e-02  0.098693939  0.1005445311 -0.0756634759  0.0351963841 -0.0327728796
## x16      -3.706337e-02 -0.0745141788  6.731431e-02  0.075193259  0.1394062466  0.1111922333 -0.0557942341 -0.0488538679
## x17       1.939116e-02  0.0367805465  1.175207e-01  0.068369882 -0.0093606183 -0.0331654106  0.0486526261  0.0151271305
## x19      -3.165650e-02  0.0228834857 -4.520259e-02  0.103910095  0.0531943017  0.0571543295  0.0161024001 -0.0507250699
## x20      -4.227821e-02 -0.0057254877 -3.037478e-02  0.103056734 -0.0007097884  0.0246031478 -0.0355439374 -0.0039622301
## x21      -4.769826e-03  0.0217131946 -5.449001e-02 -0.066071252 -0.1373594455  0.1036208203  0.1012541368 -0.0746851457
## x22       4.808715e-03 -0.0007258984 -9.121349e-02 -0.019421048  0.0312209793 -0.0543492222 -0.0348184565  0.0752690761
## x23       8.923410e-02 -0.0328991798 -2.337432e-02  0.022131240 -0.0010789430 -0.0586458615 -0.0178715846  0.0399710374
## stat1     2.167659e-02 -0.0464918226  7.212009e-02 -0.034356314  0.1394213165  0.0368779135 -0.0139848745  0.0602908114
## stat2     7.243966e-02 -0.0496782121  3.243761e-02  0.110592414  0.0862006789  0.1304200796 -0.0294390936 -0.0071265711
## stat3    -4.512769e-02  0.0217219325 -7.767918e-02 -0.010085774  0.0470669897 -0.0151962975  0.0800182082  0.0616810694
## stat4    -7.951528e-02  0.0889883951  3.440261e-02  0.094154071 -0.0348069068 -0.0030588416  0.0222818504  0.0243391494
## stat5    -6.214434e-02  0.0718004866 -3.808369e-02  0.074050427  0.0951927487  0.0207655226  0.0835163952  0.0025814742
## stat6    -9.184416e-02 -0.0791934233 -8.127478e-02  0.138805078 -0.0724197055  0.0089271148  0.0294115910 -0.0481281011
## stat7     9.217805e-02 -0.0647646482 -1.051832e-01 -0.052627596  0.0273498565 -0.0148387417 -0.0062982394  0.0006889302
## stat8    -6.407319e-02  0.0792936858 -2.261886e-02  0.060058880 -0.0290355674  0.0631199464  0.0534331435 -0.1079793419
## stat9    -1.873353e-02 -0.0907296842  1.283948e-01  0.003133576 -0.0494947450 -0.0075154289 -0.0536205149 -0.0452318616
## stat10   -8.317393e-02  0.0685785576 -2.635921e-02  0.092521133  0.1242239050 -0.0503352469  0.0450736749  0.1405135956
## stat11   -9.937404e-03  0.0088571284  1.370746e-02  0.055791990 -0.0432169672 -0.0146333209 -0.1630917322  0.0141751091
## stat12   -4.549519e-02  0.0153289045 -3.642146e-03  0.034608518  0.0508575483  0.0446229633 -0.0610448741 -0.0585327530
## stat13    5.186937e-02 -0.0515722396  2.151558e-02  0.100583304 -0.0258775021 -0.0132064181  0.1372154663  0.0168069828
## stat14    3.171812e-02  0.0013276029 -5.866723e-02  0.015067449  0.0967396231 -0.1542901195  0.0768336584 -0.0108142860
## stat15    2.088743e-02  0.0287736390  1.400412e-01 -0.055313558  0.0595969133  0.0573193660  0.0421503938 -0.0063932674
## stat16    1.115943e-02  0.0359259997  3.522188e-02 -0.089343288  0.0085684935  0.0353599691 -0.0584040638  0.0164531128
## stat17    7.198018e-03  0.0525118868 -9.702504e-02  0.015303303  0.0464554085 -0.0549488515  0.0272198623 -0.0252769296
## stat18   -1.308279e-01 -0.0250261770  7.796183e-03 -0.059782761 -0.0536103452  0.0203239992  0.1753841569 -0.0313721333
## stat19   -9.906758e-02 -0.0370582905  4.776814e-04  0.058864159  0.0245432302 -0.0086785109 -0.0472018338 -0.0193924773
## stat20    4.679248e-03  0.0020305997 -1.012139e-01 -0.051987833 -0.1041014188 -0.0497629473 -0.0460262522 -0.0116256538
## stat21   -1.555921e-01 -0.0676824628  1.522750e-02 -0.023726100  0.0683459256  0.0220439899  0.0122658414 -0.0240093759
## stat22    2.118971e-02  0.0635114769  1.620644e-02 -0.038906597  0.0538486914  0.0810328332  0.0695892197 -0.0925114503
## stat23    5.274892e-02  0.0532012380  7.052653e-02  0.003558760  0.0389620173 -0.0094862377 -0.0351591358 -0.0012466043
## stat24   -9.467733e-03 -0.0083925438  2.880060e-03 -0.025299882 -0.0830338167  0.0059989150 -0.0434174267 -0.0952082790
## stat25   -1.448430e-02  0.0471409864 -8.329721e-02 -0.028297972 -0.0355717357 -0.0273807331 -0.0307060519 -0.0296360478
## stat26    3.657495e-02 -0.0310147023  2.479347e-02  0.047358314  0.0296441841  0.1658979715 -0.0430987009  0.0211997165
## stat27   -8.607361e-02 -0.0323238339  2.813957e-02  0.069646408 -0.1049506419 -0.1051116435  0.0920329935  0.0292022649
## stat28   -9.033274e-02  0.0302864931 -5.261407e-02 -0.006717783 -0.0164954680  0.0479311105 -0.0301648429 -0.1004580460
## stat29    5.631586e-03  0.1374700457 -2.122735e-02 -0.024126689 -0.0391021105 -0.0732805639  0.0027455921  0.0384635280
## stat30    1.604850e-02 -0.0610402018  4.547289e-02 -0.038415861 -0.0814610597  0.0712186047  0.0525995737 -0.0588933724
## stat31    1.861014e-02  0.0181738908  1.629724e-02  0.043988310 -0.0647805702 -0.1145317306 -0.0156174057  0.0385443884
## stat32    1.155734e-01  0.0724177742  5.010381e-02 -0.037600829  0.1225746376  0.0556228610 -0.0306313496 -0.0616070705
## stat33   -6.544389e-02  0.0373005673  7.558729e-02 -0.033720370  0.1616483765  0.1071861069  0.0269266958  0.0978854882
## stat34   -1.150096e-01 -0.0265798047  9.453811e-02  0.034812296  0.0173243847 -0.0142404768 -0.0501369315  0.0868547036
## stat35    3.763732e-02 -0.0306134221 -3.405351e-02  0.045427705 -0.0573080854  0.0741615494  0.0317982282 -0.0457155179
## stat36    5.989708e-02  0.0175054961  2.913631e-02  0.097228403  0.0158161816 -0.0590780940  0.0983129818 -0.0744194992
## stat37   -1.118528e-02 -0.0603667654  3.114646e-03 -0.053128310  0.0522417367  0.1004646668  0.0560902549 -0.0079072606
## stat38    1.151910e-01  0.0891721066  4.760202e-02 -0.071871683 -0.0276109352  0.0044072831  0.1109060054  0.0206054267
## stat39    6.470858e-02 -0.0579977059 -1.155494e-02  0.059134281 -0.0734085923  0.0318624300  0.0027360331  0.0311035290
## stat40   -4.635318e-02  0.1243594470  2.970508e-02  0.045540230 -0.0667084204  0.0632364915  0.0695155956  0.1203505701
## stat41   -8.209916e-02  0.0315898061  5.411902e-02 -0.016798474 -0.0619409956  0.0500956529  0.0690910227  0.0247040027
## stat42    1.395793e-02  0.0709149622  1.530612e-01  0.068194238 -0.0251584857 -0.0036070600  0.1239130246  0.0111439823
## stat43    5.210343e-02  0.0809376148  2.841097e-02  0.066505446 -0.0111833046  0.0413213311 -0.1212482776 -0.0233403726
## stat44   -5.474252e-02 -0.0288880064 -4.152019e-02 -0.120917118  0.0568974423 -0.0332313471 -0.0653166184 -0.1068841267
## stat45    9.827559e-02 -0.1744799910 -7.763138e-03  0.105440633  0.0387133923  0.0076741358  0.0409865602 -0.0296337826
## stat46   -1.781470e-01 -0.0307147571  4.571140e-02 -0.157357405  0.0212248756 -0.0972589883  0.0144603341  0.0259229899
## stat47   -1.888223e-04 -0.0826424492  1.469829e-01  0.090422532  0.0358444308 -0.0922847146  0.0504905443  0.1514169941
## stat48   -6.632799e-02  0.0599282606  9.176528e-02 -0.019918173  0.0845500234 -0.0224484007  0.0187604270 -0.0020254156
## stat49    2.893030e-03  0.0280844772 -5.050280e-02 -0.051167698  0.0471398777 -0.0486558514 -0.0368669439  0.0304488532
## stat50    8.221873e-02  0.0376360266  8.613133e-02 -0.090698811 -0.0085473784  0.0760961646 -0.0542425194 -0.0131155889
## stat51   -5.582760e-03  0.0001166612 -1.377693e-01 -0.038358941 -0.0327319193  0.0618369628  0.0088352354 -0.0256556520
## stat52   -1.195122e-02  0.0046004401 -1.601671e-01 -0.018706629 -0.0205472322  0.0579802668  0.1596506820  0.0056101680
## stat53   -2.235465e-02 -0.0086484282 -3.554839e-02 -0.041267134 -0.0853698137 -0.0285874542 -0.0351546872 -0.0144739912
## stat54   -2.688550e-02  0.1085472741  9.545341e-03  0.042041923  0.0350260442 -0.0778316119 -0.0107351082 -0.0709417120
## stat55    1.001075e-01 -0.0248930063  5.888574e-02  0.049855755 -0.0549536538  0.0404176600 -0.0316770035 -0.0341279541
## stat56   -6.925252e-02 -0.0602482745  6.472726e-02  0.024432677  0.0241109991  0.0101342993 -0.0382853197  0.0601472154
## stat57   -7.633145e-02 -0.1182380926 -8.301238e-02  0.023925390 -0.0322686850 -0.0020295524 -0.0357743233 -0.0077096541
## stat58   -2.748859e-05 -0.0218104105 -1.126050e-01  0.058146287  0.0320000134  0.0519642588  0.0545392271 -0.0107452323
## stat59   -6.014758e-02  0.0429650486  1.598731e-03  0.059249288 -0.1478181786 -0.0094449483  0.0135012058  0.0214987336
## stat60    1.141961e-01  0.0625046754  1.093979e-01  0.079383882 -0.0455662296 -0.0062646904  0.0378654391  0.0423822752
## stat61   -1.896119e-02  0.0856734002  2.700373e-02  0.070433759  0.0304925626 -0.0180476281 -0.0052798688 -0.0047176311
## stat62   -3.727226e-02  0.0790477294  5.004989e-02  0.071724678  0.0205297653  0.0335350969  0.0311180483 -0.0030651200
## stat63   -8.807740e-03 -0.0715364769 -8.310950e-02 -0.011486990  0.0167121557 -0.0597490338 -0.0810025643  0.0244400267
## stat64    3.039125e-02  0.0620509595 -1.097490e-01 -0.114408515  0.1004533604  0.0556389584  0.0269638358 -0.1083469588
## stat65    9.499663e-03 -0.0077517165  1.023977e-01  0.019404967 -0.0044159408 -0.0068758342 -0.1185748798  0.0758689101
## stat66   -7.694856e-03 -0.1641637239 -1.602384e-03 -0.017999690 -0.0366239775  0.0718425178 -0.0237717245  0.1086151686
## stat67    2.346270e-03 -0.1454235258 -5.893971e-02 -0.027502736 -0.0117735910  0.1237388285  0.0419612990  0.0364731663
## stat68    1.188142e-02  0.0055879698  6.789802e-02  0.012687783  0.0106128691  0.0061314900 -0.0154080910  0.0991254420
## stat69    6.533949e-02 -0.0075749884 -2.866997e-02 -0.060621735 -0.1176752609 -0.0090033047 -0.0686322867  0.0487422252
## stat70   -2.481747e-02  0.0541192537 -2.614889e-02 -0.016918986  0.0347703595 -0.1090235408  0.0118365308  0.0252528372
## stat71   -6.176133e-02  0.0355474505  7.442848e-02 -0.055719856 -0.0238463465  0.0275889534 -0.0088128299 -0.0732605746
## stat72   -4.693685e-02 -0.0660277529  1.443496e-03 -0.077390911 -0.0470872372 -0.0195443935  0.0895051429 -0.0290053611
## stat73    3.486274e-02  0.0488183827  3.890269e-02 -0.077187432  0.0166623098 -0.1532918176 -0.0195078185  0.0846091405
## stat74    4.452997e-02 -0.0488450721 -6.251482e-03  0.039016890 -0.0579633328 -0.0106088354  0.0079417437 -0.0063975286
## stat75   -1.092923e-01  0.0735471559 -1.009086e-01 -0.047319321  0.0378163796  0.0511651151 -0.0114852431  0.0340071282
## stat76    3.248923e-02  0.1197294786 -6.534928e-02 -0.013538175 -0.0079232902 -0.0680926726 -0.0601622411  0.0194658626
## stat77    2.931845e-02 -0.0089913972 -7.618220e-02  0.068807768  0.1367650402  0.0396693856 -0.0969560240  0.0291869489
## stat78   -1.323159e-01  0.0520991443 -5.961437e-03 -0.017033954  0.0549833425 -0.0487259225 -0.0820765384 -0.0042320305
## stat79   -9.958286e-02  0.0932981039  4.406426e-02  0.013205329  0.0379373620 -0.0753050870 -0.0679143580 -0.1358098730
## stat80   -8.082533e-02  0.0901909331  1.170564e-02  0.021103277  0.0402867302 -0.0448111852 -0.0835004500 -0.0758755625
## stat81    1.623968e-01  0.0062064701  1.834318e-02  0.071106532 -0.0518069698 -0.0335837028  0.0624400210  0.0561406676
## stat82   -2.474738e-02 -0.0064267071  3.118846e-03 -0.104461427 -0.0392996188  0.0975360949  0.0131908631  0.0325465745
## stat83    1.135790e-02  0.0035318918  4.050824e-02  0.036973349  0.0586832305 -0.1096490377  0.0275469416 -0.1635504952
## stat84    4.109900e-02  0.0190768885 -6.880675e-02  0.049911223  0.1066059376 -0.0630482509  0.1159938131 -0.0370741700
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## stat86    6.530055e-02  0.0076468945 -7.794697e-02  0.182349429  0.0496249993 -0.0277997374 -0.0046943761 -0.0106575408
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## stat208   5.018745e-02 -0.1533379800 -5.125857e-02  0.045022346  0.0475504866 -0.0295911710 -0.0348780643 -0.0890635468
## stat209  -9.791987e-02  0.0290382673 -5.364354e-02  0.119739473  0.1074910692 -0.0773043419 -0.1076813210  0.0132486425
## stat210   1.841408e-01 -0.0318425970  3.444539e-02  0.049292708  0.1190453441  0.0185747407 -0.0508693435  0.0171054697
## stat211   9.826767e-03 -0.1378411071 -6.981777e-02 -0.001560696 -0.0033847768  0.0201700867 -0.0659476266 -0.0288572528
## stat212   6.775916e-02 -0.0928506414  6.004867e-02  0.051716593 -0.0562703757 -0.0081973298  0.0821809251  0.0177956635
## stat213   2.495689e-02  0.1090529847 -2.785288e-03  0.040321449 -0.0180277833 -0.0518697977  0.0005545387 -0.0905657623
## stat214  -1.005296e-02 -0.0363591144  2.486363e-02 -0.004691603 -0.0867861438 -0.0246141727  0.0065372908  0.0403711726
## stat215   8.967110e-02 -0.1083197071 -2.077835e-02  0.011091680  0.0402141267  0.0873423381 -0.1442445687 -0.0367097152
## stat216   1.328452e-01  0.0760827255 -8.741104e-02  0.097072552 -0.0411975605 -0.0773840642 -0.1347444767 -0.0655160917
## stat217  -3.184206e-02 -0.0188645048 -4.020963e-02 -0.013945369 -0.0793510516 -0.0057429357  0.0435242207 -0.0365133204
## x18.sqrt -1.010853e-01  0.1153975624  1.657930e-01  0.081811845 -0.1692750103 -0.0292813239 -0.0607222863 -0.1348100688
##                   PC38         PC39          PC40          PC41          PC42          PC43          PC44          PC45
## x1       -0.0145950198  0.053265233  0.0278872562  0.0249622759 -6.517362e-02  0.0152937766  0.0099008772  4.242521e-02
## x2        0.0159505997 -0.004082201  0.0116590064 -0.0765131960  8.512636e-02  0.0184010669  0.0515672230 -4.909850e-02
## x3        0.1147820400  0.004082411 -0.0195292377  0.0411942873  1.031167e-01  0.0406094102 -0.0793063537  1.659032e-01
## x4        0.0101881759 -0.020383425 -0.0058607561 -0.0791048306  4.007031e-02  0.0714296549 -0.1329616173 -5.864533e-03
## x5        0.0197749166  0.060786412 -0.0997641833  0.0764816996  3.081520e-03  0.0076525658  0.0700323503  1.314015e-01
## x6        0.0169864015 -0.037148978  0.0007358728  0.2057620894  2.946307e-04 -0.0132478420  0.0708733820  3.990568e-02
## x7        0.0347699620 -0.011571164  0.0021610713 -0.1017633745 -8.733350e-02  0.0264680304  0.1277609437  9.522170e-02
## x8       -0.0746292468 -0.113280150 -0.0500507013 -0.0308331991 -6.665796e-02 -0.0699842496 -0.0337286123  5.873749e-02
## x9       -0.0965692998 -0.100010265 -0.0279823595  0.0476379321  1.888596e-02 -0.0884440107  0.0478826998  9.594669e-02
## x10      -0.0963804153 -0.009213721  0.0136176359  0.0260276926  2.017340e-02 -0.0212342582  0.0851000860 -9.862383e-02
## x11       0.0043086785  0.015737461 -0.0357325731 -0.0928588072 -2.048083e-01 -0.0744738499  0.0590957007  4.163063e-02
## x12       0.0321006186 -0.082940529 -0.0225636175  0.0135799645  5.944119e-02 -0.1411967711 -0.1028575213  4.546227e-02
## x13       0.0612768842 -0.006814099  0.0341413367 -0.0748343345  2.197424e-02 -0.0814511765 -0.1557344390 -5.799476e-02
## x14       0.0359107801  0.107847496 -0.1304026233 -0.1392356079 -6.207641e-02  0.0699480442 -0.0881610564  3.292404e-02
## x15       0.0525320439  0.062165775  0.0550099381  0.0533046090 -4.595382e-02 -0.0123635119 -0.0053993336  9.993289e-02
## x16       0.1234225655  0.015228422 -0.0211616391  0.0650651739  4.962516e-02  0.0483862426  0.0544150383  3.201386e-03
## x17      -0.0300718464  0.065231474  0.0379054663  0.0220085443 -6.139473e-02  0.0362582339  0.0255075057 -8.801720e-02
## x19       0.0468845039 -0.004995917 -0.0737897892 -0.1736123591 -3.791534e-04 -0.0320196603  0.0197520670 -4.512767e-02
## x20      -0.0188145041 -0.058365222 -0.0135824465  0.0228183723  3.093810e-02 -0.0359590123 -0.0930085050 -1.138530e-01
## x21      -0.1099000072  0.053024404 -0.0103041368  0.0388341267 -2.040314e-02 -0.0162980723 -0.0172516950 -3.341212e-02
## x22      -0.0447961304  0.102003792  0.0037568559  0.0040776703  7.084378e-02 -0.0802221361  0.0544137813  5.784149e-02
## x23       0.0546082568  0.023838869  0.1322148611  0.0235800469  5.076196e-02 -0.1169845364  0.0449227646 -8.746723e-04
## stat1    -0.0247294270 -0.005286590 -0.1407325145 -0.0025859949  8.147667e-03  0.0108142501  0.0694724093 -3.003890e-02
## stat2     0.0336911867 -0.011205813 -0.0120825110  0.0642280915 -1.769395e-02 -0.0612003385  0.0874873068  1.568226e-02
## stat3    -0.0867004362 -0.116313463  0.0487816288 -0.0190809288 -8.287418e-03 -0.0826461280  0.1412345962  3.382881e-02
## stat4     0.0505478022  0.009168184 -0.0385597193  0.0277524207 -1.401047e-01 -0.0364179677  0.0330225173 -2.307886e-03
## stat5     0.0074855576 -0.101896751  0.0271047552  0.0583183750  8.661941e-02 -0.0020407502 -0.0076247056  6.605407e-02
## stat6     0.0710981143  0.071615641  0.0769421603 -0.0518024671  2.687855e-02  0.0409533926 -0.1354272706 -5.052156e-02
## stat7     0.0860797744  0.017225605  0.0510308557 -0.0364799240 -1.564114e-02 -0.0887336570  0.0292860923  3.722945e-02
## stat8     0.0173646273 -0.019406552  0.0502422066 -0.0421271959 -5.822361e-02 -0.0252845875 -0.0484090075  1.091339e-01
## stat9    -0.0630373238 -0.088837008  0.0201749944  0.0116080354  1.192584e-01 -0.0117233323  0.0431126535  1.341141e-01
## stat10    0.0294618415  0.067304719  0.0246600225 -0.0812942678  4.681469e-02  0.0904259989 -0.0323840499 -3.908486e-02
## stat11   -0.0242707355  0.100070623 -0.1094823174 -0.0005852169  3.993475e-02  0.0393125350  0.0264267861 -1.154472e-01
## stat12    0.0477588162 -0.058372120  0.0599938336 -0.0144789520  2.189789e-02  0.0772310495  0.1588872746  8.438894e-03
## stat13    0.0592036535  0.025765840  0.0159762488 -0.0667135652 -5.544753e-03 -0.0555156935 -0.0448727504 -6.230552e-03
## stat14    0.0713985542  0.044215145  0.0508508225 -0.0096438258 -2.381086e-02  0.0202795871  0.0951501676 -9.349502e-02
## stat15    0.0595316236  0.011145001 -0.0093108881  0.0813393114 -1.905060e-02 -0.0170244992 -0.0103488547 -4.184580e-02
## stat16    0.0143072459 -0.116741712  0.0363167823  0.0538055118 -2.662078e-02 -0.1089670535 -0.0280138597  2.197764e-02
## stat17    0.0398898022  0.042538483  0.0029190575  0.0527481480 -4.682366e-02 -0.0764267579 -0.0620009284 -4.124402e-02
## stat18    0.0097060876 -0.001460293  0.1016518459 -0.0444664680  4.649432e-05 -0.0803667579  0.1413432956 -2.328807e-02
## stat19    0.0767883826 -0.049715055 -0.0274610418 -0.0552456025  8.827345e-02  0.1288437740 -0.0106790389  9.057491e-02
## stat20   -0.0532881734 -0.035789199  0.0595267273 -0.0304197974 -1.156504e-01 -0.0560055003  0.0242439946 -9.634950e-02
## stat21    0.0468652126  0.031744180  0.1278811011  0.0429438254  1.292546e-01 -0.1098569713 -0.0989681931 -3.241183e-02
## stat22   -0.0508811197 -0.080850044 -0.1037116690 -0.0147162604  2.776152e-02 -0.0292790806 -0.0036949778  4.009118e-02
## stat23   -0.0175792263  0.043327792  0.0793833119 -0.0630039472  6.507870e-02  0.0414094380  0.0095877950 -7.357001e-02
## stat24   -0.0624678540  0.043622929 -0.0130604662 -0.0271971304  6.614894e-02  0.0927291794  0.0290949202  4.040616e-02
## stat25   -0.0090003511 -0.018928054 -0.0608614146  0.0888209256  3.787141e-02  0.0793687279 -0.0123584479  1.790468e-02
## stat26   -0.0356781558  0.143863824  0.1350051685  0.0708975675  8.964161e-02 -0.0160706756  0.0383860018 -8.322517e-03
## stat27   -0.0002880444  0.009547609  0.0010764363  0.0713362651  4.596082e-02  0.0436314253 -0.0183299599 -3.958270e-02
## stat28   -0.0460138730 -0.114888724 -0.0709559449 -0.0201145765 -7.615909e-02 -0.0250626407 -0.0373702210 -2.625448e-02
## stat29    0.0283431784  0.070853194  0.0162398678  0.0008753850  1.481023e-02 -0.0570483612  0.0275201078 -1.287139e-02
## stat30   -0.0031594898 -0.038344154  0.0511470005  0.0105393229 -6.081293e-02 -0.0888385003  0.0358240792 -8.925707e-02
## stat31   -0.0209719539 -0.031978688  0.0078530143  0.0547668408 -6.079409e-02  0.0331311374 -0.0498086049  2.470855e-02
## stat32   -0.0211747759  0.152171770 -0.0054026384  0.0180320486  2.448137e-02 -0.0457756161 -0.0703420363  5.909738e-02
## stat33    0.0053297606  0.041332418 -0.0282651612 -0.0660954871 -1.516524e-02 -0.0222678923  0.0626268680 -3.316148e-02
## stat34    0.2107616050 -0.041805429  0.0568957775 -0.0444380733  7.066114e-02 -0.0252386843  0.0178773202 -1.229796e-01
## stat35   -0.0129784560  0.162256543 -0.0025007339  0.0183598427  7.607023e-02 -0.0579004174  0.0062256722 -1.094367e-01
## stat36   -0.0316184441 -0.140475226  0.1058802758 -0.0691459629  1.049299e-01  0.0275056508  0.0328875758  1.103773e-01
## stat37    0.0846046836 -0.025289610 -0.0571860390 -0.0059893811  8.125705e-02  0.0782827089 -0.0511599562 -8.871372e-02
## stat38    0.0313797605 -0.132362850  0.0170006943 -0.0523521400 -2.126131e-02  0.0913803070  0.0552181439  2.352344e-02
## stat39   -0.0651326581 -0.006790640 -0.0656097797  0.0588643050  6.517677e-02 -0.0001755196 -0.0239160690  4.025617e-02
## stat40   -0.1439693671  0.108288092  0.0879306796 -0.0357550527 -7.642679e-02  0.0451652297 -0.1466319731  8.809272e-02
## stat41    0.0836110101 -0.040365017 -0.1156680911 -0.0264937965  1.304889e-01 -0.1022415321 -0.0480779766 -3.190700e-02
## stat42   -0.0490830524 -0.004729039 -0.0409465746 -0.0058850565  6.468617e-02  0.0679288077 -0.0480725857 -2.959774e-02
## stat43   -0.0160461359 -0.032921755  0.1432023581 -0.0463888098  5.010470e-02 -0.0452492814  0.0117689156  2.566983e-02
## stat44    0.0341232974 -0.032685409  0.1126943859  0.0979810477 -1.156367e-02 -0.0360034557 -0.0753723885 -8.246831e-02
## stat45   -0.0228396390 -0.120083135 -0.0583391074 -0.0189765277 -7.251787e-02  0.0674807451 -0.0388073015  5.617936e-02
## stat46   -0.0510802639 -0.050987883 -0.0540339536  0.0776552342 -6.184595e-02  0.0242013153  0.1099784953 -4.490137e-02
## stat47    0.0510731762  0.109489688  0.0270006114  0.0515774879 -2.671684e-02 -0.0084357281  0.0828080601  7.663272e-02
## stat48    0.1320487894 -0.011484260 -0.0587417650  0.0166349575  2.182930e-02 -0.0351589296  0.0055189085  1.561554e-02
## stat49   -0.0129632521  0.073238884 -0.0774769285  0.0116528450  3.117710e-02  0.0398427687 -0.0071062687 -3.926812e-02
## stat50    0.1053927713 -0.048986816  0.0442609194 -0.1311872118  3.400713e-02 -0.1156523208  0.0675731309 -4.291168e-02
## stat51    0.0506949326 -0.078396768  0.0866970547  0.0540592833 -4.079243e-02 -0.0862717373  0.0038862019 -9.542560e-02
## stat52   -0.0272708613  0.073961261 -0.0386296006  0.0617575864 -2.685840e-02  0.0016881102  0.0124342238 -8.275436e-03
## stat53   -0.0299550809 -0.155115830  0.0046181736 -0.1411703568  4.401728e-02  0.0454530658  0.0875044297  3.528981e-02
## stat54    0.1036153979  0.038395901 -0.0541450161 -0.0940311010  2.869405e-02 -0.0151967459 -0.0314788957  2.929279e-02
## stat55    0.0533037122  0.110960786 -0.0262754787 -0.0519337297 -5.215428e-02  0.1145918922  0.0490180825 -5.257939e-02
## stat56    0.0856635022 -0.054688420 -0.0183205076 -0.0532688705 -2.035388e-03 -0.0617445400 -0.1244225334  2.764285e-02
## stat57    0.0590237229  0.099121084 -0.0760972788  0.0129220261 -2.196339e-02  0.0364507671  0.0214801115  6.431196e-02
## stat58   -0.0542329696 -0.106109972  0.0197642391 -0.0427701078 -1.109876e-01  0.1330582923 -0.0476025856 -2.651823e-02
## stat59    0.1226647942  0.048130390 -0.0627113708  0.0229119720 -5.758789e-02  0.0459396761  0.0103028208 -7.558546e-02
## stat60    0.0677452100 -0.152979684 -0.0559305516 -0.0502783359 -8.043608e-02  0.0070697709 -0.0045994439 -2.185813e-02
## stat61   -0.0439646723  0.027182495 -0.0442034384 -0.0285642716 -1.023661e-02  0.1032489199  0.0217045620  7.755765e-02
## stat62    0.0709962279  0.019714474 -0.0056102548  0.0881106040  8.123795e-03 -0.0280107370  0.0198996546 -4.566223e-02
## stat63   -0.1076416709  0.002498495 -0.0104694252  0.0062702833  6.531254e-02  0.0093995627 -0.0102277593  5.143573e-02
## stat64    0.0084713150  0.009567147 -0.0336905793  0.0270417828  5.898015e-02 -0.0658337755 -0.0302766678  4.969321e-02
## stat65    0.0355991440  0.003864637  0.0164144442  0.0907098291 -4.673449e-02 -0.0053941211 -0.0259370828  4.889791e-02
## stat66    0.0723172396 -0.073082390  0.0502661218 -0.0053617266  2.731783e-02  0.0137451964  0.0680664227  8.080169e-02
## stat67    0.0688031204  0.043306316 -0.0179357844 -0.0207611111  2.746683e-03  0.0241431544 -0.1443420612  1.079418e-01
## stat68    0.0754526231 -0.017153851  0.1255577632  0.0152181499  8.061502e-02  0.0112663696  0.0252099096 -1.289260e-01
## stat69   -0.0208598620 -0.007091694 -0.0537183041  0.0407877739  3.187067e-03 -0.0319997495 -0.1344867873 -5.226688e-02
## stat70    0.0756410974 -0.056164617  0.0345316636  0.0262122270  1.775891e-02  0.1113992669 -0.0300227416 -9.039597e-02
## stat71   -0.0470040714  0.112766010 -0.0847859569  0.0078694241 -2.699046e-02 -0.0647514230 -0.0295312729 -4.687787e-02
## stat72   -0.0355339058 -0.029903159  0.0194523738 -0.0135859717 -1.667991e-02  0.0078203451  0.0304205552  2.509614e-02
## stat73   -0.0041357967 -0.001779973 -0.0943235985  0.0286872850 -1.064696e-03  0.0061157110  0.0425846773  8.741751e-03
## stat74   -0.0076248324  0.073923064  0.1341531736  0.0817470343  2.339572e-02  0.0460428017 -0.0091352337  1.181215e-02
## stat75    0.0525577478 -0.103335697  0.0452869506  0.0768110625  3.562096e-02 -0.0518908202 -0.0355486768  3.309240e-02
## stat76    0.0153947849  0.013465472  0.0254645127  0.0740819485  5.318528e-02  0.0474474182  0.0136012845  4.736017e-02
## stat77    0.0453242601 -0.105821791  0.0711815087 -0.0193715850 -8.083612e-02  0.0557953367 -0.0098638733  5.530692e-02
## stat78   -0.0096208227  0.072740905  0.0477637223  0.0708986842 -4.006721e-02  0.0702619638 -0.0284710026 -3.048155e-02
## stat79   -0.0905666803 -0.080157195 -0.0128840826  0.1358874344  1.100295e-01 -0.0119702558 -0.0504266755  6.572257e-02
## stat80   -0.0480064100 -0.057559980  0.0576325177 -0.0172206317 -1.234470e-01  0.1433329572  0.0481094056 -3.133091e-02
## stat81    0.0308540310 -0.124463569  0.0444360953  0.0793540155 -8.886830e-02  0.0706135495 -0.0759923663 -4.305239e-03
## stat82    0.0768476029 -0.034850097 -0.0365873251 -0.0301213139  2.252109e-02 -0.0174342868 -0.0369960797  8.329748e-02
## stat83   -0.0512970145  0.077498905 -0.0174090030 -0.0494615744 -2.349327e-03 -0.1338003470  0.0368517298 -1.050501e-03
## stat84   -0.0023882341  0.040683026 -0.1146441064 -0.1068760161 -5.123538e-02 -0.0058218165 -0.1530731853 -9.482738e-03
## stat85   -0.0507119167 -0.108351335 -0.1262582341  0.0390279078  4.302229e-02  0.1204553383 -0.0425905279 -6.204920e-02
## stat86   -0.0124315920  0.072844823 -0.0245435909  0.0149254643  1.925806e-01 -0.0206452979  0.0310026946  1.977909e-02
## stat87    0.0334515252  0.015148740 -0.0350801120 -0.0530413542 -1.599118e-02  0.0789854120 -0.0226809217 -1.985018e-02
## stat88   -0.0238924976  0.007520202 -0.0865171627 -0.0998046507 -6.310999e-02 -0.0316737463 -0.0384271676  3.968373e-02
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## stat212   0.0213262061 -0.006195405  0.0628700158 -0.0570788879  4.357033e-02 -0.0460333228 -0.0248858528  1.303289e-01
## stat213   0.0837221065  0.026284288  0.0163110035  0.0626193181  4.766097e-02  0.0643114492 -0.0645219209  2.966407e-03
## stat214   0.0819328491 -0.027167827  0.0132571904  0.0350912036 -3.432230e-02 -0.0717391159  0.0020537527  1.484162e-01
## stat215   0.0262532469  0.025726596  0.0821403887 -0.0272277490  6.417935e-02  0.0920656931  0.0605310996 -3.381123e-02
## stat216   0.0273106075  0.036244413 -0.0106337047  0.0556125801  2.585898e-02  0.0274677051 -0.0687591588 -2.099101e-03
## stat217  -0.0190966240 -0.064406537  0.1106927275  0.0028161913 -5.141123e-02 -0.1516407624  0.0771065599  1.350812e-02
## x18.sqrt -0.0540606968  0.083933536 -0.0078057003 -0.0178265559 -3.689787e-02  0.0579879196  0.0190983374 -2.086363e-02
##                   PC46          PC47          PC48         PC49          PC50          PC51          PC52          PC53
## x1       -9.159310e-03 -0.0382874682  0.0152506824  0.016255157 -0.0093902123 -0.0092985126 -0.0038396655 -0.0175958121
## x2        7.444073e-02 -0.0034393490  0.1067092919 -0.036376083  0.0192739287  0.0105777292  0.0601596411  0.0360056350
## x3       -3.318496e-02  0.0148269544 -0.1574176977  0.011422758  0.0275350260 -0.0960290344 -0.0019526084 -0.1967050898
## x4        6.983778e-02  0.2340586429 -0.0334741050  0.130534128  0.0142803188  0.0415407694 -0.0624228358 -0.0111339307
## x5        3.880221e-02 -0.0181037480 -0.0547183467  0.003017893 -0.0289606056  0.0175937380  0.0543415044  0.1089055067
## x6       -8.079294e-03  0.0343915293  0.0566928425  0.035375605  0.0515143645  0.1049563137  0.0463358495  0.0041121701
## x7        7.741541e-03  0.1172010291 -0.1697065384 -0.023725535 -0.0837207310  0.0266083013 -0.0018918922 -0.1497088057
## x8        5.523351e-02  0.0043546352 -0.0028267466 -0.024155784  0.0892605977 -0.0305918133  0.0633203982  0.0157437047
## x9       -1.202157e-01  0.0147061324  0.0019481484  0.026169564  0.0085344626 -0.0051388832 -0.0329963985 -0.0120101658
## x10      -4.888785e-02  0.1101809651  0.0525581383  0.049014630 -0.0686778779 -0.0189872798 -0.0675740336  0.0668207514
## x11       4.942309e-04 -0.0871933339 -0.0343084100 -0.023476188 -0.0441652368  0.0187645726 -0.0230912388  0.0836859235
## x12      -4.141272e-02  0.1955427620 -0.0056340856  0.121390610  0.0929158220 -0.0206808467 -0.0896152736  0.0447692785
## x13       1.446392e-01  0.0141706341 -0.0876650353  0.069041475 -0.0062328303 -0.0466470612 -0.0520755786 -0.0215054650
## x14      -3.198308e-02 -0.0646955390 -0.0536084957 -0.037868149 -0.0250735410  0.0572466511  0.0134282217  0.0207949146
## x15       5.746183e-03  0.0630303302 -0.0773615572 -0.014444702  0.0695250971 -0.0869823837 -0.0287351675  0.0231775709
## x16      -3.779250e-03  0.0113438516  0.0542594337 -0.007688377 -0.0138401521 -0.0014487263  0.0419537465  0.0044957251
## x17       2.318988e-02  0.0082688932 -0.0740918474 -0.017778244  0.0413242934  0.0501143299 -0.0717032387 -0.0246208814
## x19      -3.773386e-02  0.0715296570  0.0100065850  0.093857985 -0.0277779841  0.0452933363  0.0770774371  0.0118753919
## x20       7.884365e-02  0.0057708778  0.1416016369 -0.031100276  0.0555366885 -0.0772513731 -0.0259687898 -0.0306489089
## x21      -3.705708e-03 -0.0146534956  0.0282857119 -0.068796306 -0.0301136900 -0.0834799861  0.0728726148  0.1216048332
## x22      -6.221679e-02  0.0714437649 -0.0673420056 -0.014164812 -0.0028262167 -0.0739712080 -0.0091388075 -0.0485475636
## x23       3.952633e-02 -0.0019955904 -0.1164683813 -0.121736053 -0.0236905406  0.1160819396  0.0737729210  0.1076078614
## stat1     3.847765e-02  0.0618340631 -0.0429021528 -0.065381665  0.0915763536 -0.0415213915  0.0435381580 -0.0514577651
## stat2    -2.220484e-02 -0.0773464405  0.0497544213 -0.125024103  0.0303981172  0.1064527041 -0.0771532105  0.0148427982
## stat3     5.452964e-02 -0.0431674219  0.0840810529  0.013678217 -0.0316657967  0.0200101168  0.0276769772  0.0473829581
## stat4    -7.079180e-02  0.1139036496 -0.0424463975  0.049216773  0.0641923859  0.1680704121 -0.0015105911  0.0236498150
## stat5    -4.021074e-02 -0.0214621962 -0.0965119293  0.021927407  0.0674797139  0.0904816982  0.0317839391  0.0330378751
## stat6     4.046579e-02 -0.0006480060  0.0156511862 -0.053694560  0.0711076363 -0.0755598379  0.0650159913 -0.0456807330
## stat7     9.492155e-02  0.1125795753 -0.0599157201 -0.090443876  0.0711973534 -0.0100687610 -0.1040190609  0.0144887160
## stat8    -2.704629e-02 -0.0643264915 -0.0551278344  0.049174723  0.0015899566 -0.0902176938 -0.0339247447  0.0273472249
## stat9    -7.201798e-02 -0.0390232027 -0.0733568062 -0.051123249 -0.0461582897  0.0052582496 -0.0290478435  0.0775469060
## stat10    1.865814e-02  0.0033855730 -0.0525183295 -0.045909094  0.0134759503 -0.0632300877 -0.0790179727 -0.0480044280
## stat11   -7.179632e-02  0.0105178692  0.1421497102 -0.012782806  0.0691001921 -0.0865988235  0.0008538985  0.0813539937
## stat12   -3.393408e-02  0.0085012927  0.1030159996 -0.008515668 -0.0522312457 -0.0605750699 -0.0994278434 -0.0622211001
## stat13    7.949762e-02 -0.0019127007  0.0061718531 -0.031623872 -0.0250854287  0.0692055029  0.0597834058 -0.1139354579
## stat14   -4.140019e-03 -0.0648424172 -0.0779584038  0.052371300 -0.0742145739 -0.0658814532  0.0208217652  0.0377385469
## stat15    1.173227e-01  0.0603964052  0.0413813947 -0.190072407 -0.0285616007  0.0395185255 -0.1329297382 -0.1038918434
## stat16   -1.630249e-03  0.0007861335 -0.0360703920 -0.022599989 -0.0628127921 -0.0109954166  0.0178582213  0.0957915539
## stat17   -2.464557e-02  0.0945243492 -0.1038469772 -0.137182139 -0.0460108043 -0.0210997448  0.1414546114 -0.0190761887
## stat18   -1.356768e-01  0.0288796348 -0.0519291670 -0.076577373 -0.0315411501 -0.0318920333 -0.0166528094 -0.0382490662
## stat19   -6.055183e-02  0.0834723892  0.0233040072 -0.101740515 -0.0553204595  0.1577519520 -0.0496148319 -0.0041414641
## stat20    1.706405e-03 -0.0054081374  0.0802247664 -0.056193754  0.0168901018 -0.0251849657  0.0095751760  0.0227137940
## stat21    3.413027e-02 -0.0724605133  0.0314169624 -0.082663141 -0.0030157245 -0.0102163520 -0.1004120449 -0.1461017825
## stat22    1.409329e-02  0.0757367040 -0.0427693793  0.022200069  0.0713894100 -0.0022221478  0.0404343446 -0.1601858272
## stat23    1.037911e-02 -0.0970979754  0.0228136881  0.121813499  0.0253847800 -0.0063735126 -0.0167633744 -0.0311675111
## stat24    8.279530e-02  0.0241118794 -0.0192567304 -0.023242603  0.0084042325 -0.0381011833 -0.0059470927  0.0361586925
## stat25    2.382593e-03 -0.0373910576 -0.0329905353  0.018232807 -0.0450360546 -0.0192172998 -0.0551468024 -0.0037207095
## stat26   -1.082625e-01 -0.0673231300  0.0127490008 -0.058550857  0.0008563399  0.0260536889  0.0329538890 -0.0062546103
## stat27   -6.569079e-02  0.0154423218 -0.0203041342  0.087278080 -0.0582009567 -0.0471878800  0.0522741995  0.0882518209
## stat28   -8.714910e-02  0.0526510905 -0.0016761847  0.024237792  0.0306459037 -0.0038568156  0.0774614269 -0.0964911866
## stat29   -3.714256e-02  0.0392217938 -0.0572047522 -0.031301398  0.0522934306  0.0262035942  0.1453549139 -0.0588227422
## stat30   -9.694404e-02 -0.1573456639 -0.0424836229 -0.033274429  0.1440932062  0.0412150761  0.0643692086  0.0535295011
## stat31   -3.540180e-03 -0.0409107432 -0.0058321752  0.099270947 -0.0524817245  0.1039975490  0.0713998352 -0.0110430946
## stat32   -2.235512e-02 -0.0319127438  0.0347546518  0.059290862 -0.1189701272 -0.0316066607 -0.0365300384 -0.0438340577
## stat33    6.175900e-02  0.0436254746 -0.0085803098  0.074784388 -0.0317501447  0.1128666039  0.0488591442 -0.0704809803
## stat34   -3.420506e-02 -0.0535782130  0.0081760980 -0.043201449  0.0609673472  0.1007813357 -0.0721677625  0.1311705910
## stat35   -7.362149e-02  0.0066770217 -0.0512537270  0.112117028  0.0105063034 -0.0077700507 -0.0762486456 -0.0100272013
## stat36    1.719251e-01 -0.1333011353 -0.0152255559  0.049618121  0.0626765237 -0.0308789683  0.0225001705  0.0449751021
## stat37    6.510186e-03 -0.0031325145  0.0082679944  0.060829502  0.0475157396  0.0180988937  0.0210853239 -0.0007509528
## stat38    5.615122e-03 -0.0260464196  0.1101188952 -0.042958038 -0.0126231060  0.0499357181 -0.0272965793 -0.0861782421
## stat39   -1.468558e-02  0.0621675622 -0.0203690310 -0.117475911  0.0964369697 -0.0270244237  0.0214368935  0.0874137824
## stat40    5.338143e-02  0.0266587182  0.0467883907 -0.054841959 -0.0281345510 -0.0446602588 -0.0676378055 -0.0906188793
## stat41    7.687480e-02  0.0077521787  0.0275399758 -0.067178642 -0.0273304052 -0.0421124847  0.0373122432  0.0429258469
## stat42   -7.450950e-02  0.0961585906  0.0312324060 -0.059030530  0.0473526137 -0.0466677464 -0.0375290633  0.0042237117
## stat43   -8.551843e-02 -0.0870944945  0.0342757015  0.048483087  0.0832591497 -0.0370322716 -0.0121939911 -0.1099956752
## stat44   -7.340923e-02  0.0561211412  0.0526243564 -0.010423517 -0.0361118376 -0.0451056964 -0.0831437128 -0.0110061913
## stat45    7.600857e-02 -0.0038257696 -0.0505169380  0.031891545 -0.0032343067  0.1343851264 -0.0236814034  0.1041743251
## stat46   -8.269705e-03 -0.0784565626  0.0849725257 -0.091778608 -0.0239013404 -0.0991762028 -0.0188556099 -0.0480780355
## stat47    7.376800e-02 -0.0019145379 -0.0581308413  0.089497388 -0.0161987608 -0.0226812300 -0.0114095138 -0.0078514278
## stat48   -4.898255e-02 -0.0645022889  0.0191343808  0.046257833  0.0450752541 -0.0866829133 -0.0425679296 -0.0645239924
## stat49   -3.590584e-02  0.0656930510 -0.0333766276  0.013925530 -0.1408212478 -0.1295729278  0.1092132509  0.0477193192
## stat50    2.858999e-02 -0.0239321809 -0.1156878936  0.101350187 -0.0301772756 -0.0649850113  0.0557860935 -0.0226296593
## stat51    7.936092e-02 -0.0088880042  0.2301099323  0.036870066 -0.0328700197 -0.0554761316  0.0813698319 -0.0979583728
## stat52    4.298277e-02  0.0056410884  0.0003979217 -0.122936269 -0.0632922129  0.0011749453 -0.0979451548 -0.0055984713
## stat53   -3.857950e-02  0.0830740567  0.0408304305 -0.021832591  0.0922564593  0.0497938588  0.0489606340  0.0519911011
## stat54    5.292414e-02 -0.0145521120 -0.0096500704  0.034033966 -0.0329372932 -0.0592114885  0.0889919849 -0.0212286520
## stat55    1.051226e-01 -0.0585245765 -0.1937325305 -0.069646755  0.0808475921 -0.0148884355 -0.1024523499  0.0434170931
## stat56    1.128486e-01  0.0911511202  0.0205431999  0.106689362 -0.0319564162  0.0100899918 -0.0009630296  0.0695725350
## stat57    1.285627e-01 -0.0213677825 -0.0585125939 -0.029410288  0.0353032520 -0.1179068226 -0.0104705126  0.0790250594
## stat58   -1.480513e-02 -0.0208262619  0.0124942832  0.028297768 -0.0114534625 -0.1026961498  0.0375128466  0.0555564017
## stat59    1.247708e-01 -0.0284753074 -0.0426494743  0.021709959  0.0780730924  0.0418278928  0.0734337925 -0.0566160469
## stat60   -4.647667e-02  0.0159877885 -0.0401327860 -0.017033228  0.0071962379 -0.0613741219  0.0535258030 -0.0183635804
## stat61   -3.459686e-02  0.0534186446 -0.1546105449  0.027016268  0.0315610000 -0.0123057394  0.0091134991  0.0307639968
## stat62   -7.522684e-02 -0.0289384455 -0.0193916473  0.002282431 -0.1206110803 -0.0501695791  0.0604558661  0.0272622820
## stat63    1.532446e-02 -0.0090353260 -0.0693495920  0.006535349 -0.1448327459  0.0371025409  0.0940040433 -0.0328576941
## stat64    4.415915e-02  0.1194644997  0.0283955266  0.103940025 -0.0067830672  0.0556670270  0.0285136687  0.0426452780
## stat65   -2.162139e-02  0.1061163374  0.0724451242  0.036252548  0.0701463532 -0.0350692567  0.0958219644  0.1402068691
## stat66   -7.109527e-02  0.1215380895  0.0928154304 -0.048338705  0.1408171666 -0.0096941917  0.0865246686 -0.0534212403
## stat67   -1.488507e-01 -0.0408006023  0.0326915558 -0.113889860 -0.0169442477  0.0037055958  0.0168696568  0.0865118944
## stat68   -2.965515e-02 -0.0058439579 -0.0001732569  0.045410428 -0.0190593156  0.0314141299 -0.1625684888  0.0478455269
## stat69    6.242421e-02  0.0444691621 -0.0073817860 -0.060868961  0.0697080935  0.0458134024 -0.0294474189 -0.0475646914
## stat70    6.990302e-03 -0.0308403224  0.0694480346 -0.075816675  0.0477390888 -0.0324461290 -0.0254753871 -0.1024880678
## stat71   -5.371222e-02  0.0748196739 -0.0388364793 -0.053365858 -0.0052142666  0.0474539437  0.0391397368 -0.0073836501
## stat72    1.175627e-01 -0.0159258947  0.0444148798 -0.022557050 -0.1179911664 -0.0087942663 -0.0432384662 -0.0485375161
## stat73    7.714514e-02  0.0943139865  0.0322517590 -0.032042488  0.0242812006  0.1794757972 -0.0200504554 -0.0531710083
## stat74    8.768510e-03  0.1138551204  0.0545252703 -0.011220861  0.0404912100  0.0832035918  0.0261754854  0.0737387701
## stat75    5.078808e-02  0.0156293520 -0.0633231886 -0.110712421 -0.0373879265  0.0009348460  0.0307659033 -0.0306290488
## stat76   -1.459773e-02 -0.0613890101 -0.0508749916  0.148527872  0.0251909743 -0.0085146820 -0.0271621363  0.0388317040
## stat77    7.018230e-03  0.0080149433 -0.1301253643  0.024084517 -0.0540930917  0.0197968762 -0.0669418520 -0.1007463494
## stat78    2.738882e-02  0.0481547341 -0.0155405252 -0.008401957  0.0853049775  0.1477816350 -0.0018633934 -0.0392871387
## stat79   -3.922352e-02 -0.0769431894 -0.0773524615 -0.076274259  0.0092291942 -0.0429411807 -0.0815531911  0.0927469197
## stat80    1.191090e-01  0.0472840997  0.0738908092 -0.013256324  0.1509833086  0.0587662836 -0.0522719247  0.0630955469
## stat81   -4.290923e-02  0.0198955392  0.0148834206  0.028530481 -0.0552541635 -0.0008954945  0.0415249256 -0.0057646515
## stat82    6.416533e-03 -0.1370424797  0.0338215857 -0.001759072  0.0628525839 -0.0156321472  0.0478831471  0.1000310271
## stat83    6.362580e-02  0.0205603570 -0.0027778931  0.007660825 -0.0344897719  0.0030953215  0.0130502754  0.1138220773
## stat84    9.680382e-03  0.0498077069 -0.0760746889  0.020208634  0.0500196661  0.0015572865 -0.1091412466  0.0818423295
## stat85   -6.583077e-02  0.0159015398  0.0652746908  0.041383360 -0.0155439212  0.0422056633  0.0180988969 -0.1148392891
## stat86    1.335626e-02  0.0215862593 -0.0259134305  0.055457335  0.1325994737  0.0930370196 -0.0529453954 -0.0153555737
## stat87   -1.600350e-01 -0.0721179013  0.1052168306  0.084775574 -0.0645742080  0.1178705143 -0.0042975879  0.0254436927
## stat88    1.675785e-02  0.0148989567  0.1030083263 -0.122213271 -0.1113478151  0.0313525907 -0.0878141626 -0.0027816359
## stat89   -7.764042e-02 -0.0137068401 -0.0282180269 -0.005642599 -0.0088619795  0.0274708208  0.0175224735 -0.1406343054
## stat90   -1.174404e-01 -0.0684863393  0.0162583188 -0.026248447  0.0172225857  0.0658042924 -0.0149802545  0.0119384744
## stat91   -2.520829e-02 -0.0032911543 -0.0156702654  0.044038765  0.0732456519  0.0336362045 -0.0353307854  0.0393318383
## stat92    9.039574e-03  0.1049852843  0.1208677684  0.002737855 -0.0329997676  0.1242095170  0.1066895505 -0.0670813022
## stat93    8.406050e-02  0.0622055191 -0.0651198709 -0.018039875 -0.0467456306 -0.0142731632 -0.0611180769 -0.0016992681
## stat94   -2.723202e-02 -0.0908083213 -0.0395217090  0.080794676 -0.0352509043  0.0353678203 -0.1278266544 -0.0469372919
## stat95    9.555689e-03  0.0112116287 -0.0108040437  0.033105528  0.0018193433  0.0465055772 -0.0499467973 -0.1276138830
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## stat130   4.141733e-04 -0.0898858030  0.0406632475  0.003804046 -0.0264736772  0.0330735025  0.0241622066 -0.0128954668
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## stat187   2.587300e-02 -0.0017371891  0.0364466927  0.065140915 -0.0396948095 -0.0326825144  0.0282605639 -0.0401646888
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## stat215  -8.002028e-02 -0.0048508059 -0.0247426076  0.121168955 -0.0629745880 -0.1082658280  0.0372691590  0.0145116118
## stat216  -5.401971e-02 -0.0166336209 -0.0507491812 -0.042219107  0.0606830195 -0.0321203322 -0.0649734900 -0.0253790933
## stat217  -6.408965e-02 -0.0323547278 -0.0364810424 -0.027491737  0.1068232140 -0.0245885487 -0.0643303377  0.0828441710
## x18.sqrt -2.788837e-02 -0.0075291728  0.0235382644 -0.038340180  0.0856280191 -0.0966578793 -0.0574769212 -0.0063056236
##                   PC54         PC55          PC56          PC57          PC58          PC59          PC60          PC61
## x1        0.0812149588  0.043712426 -0.1396002353  0.1432352434  0.0029694748  0.0942348089 -0.1060505952  0.0709809583
## x2        0.1058759806  0.069815167  0.0383028011 -0.0558569706 -0.0294847785 -0.0663388554  0.1211537616 -0.0238609365
## x3       -0.0718661958 -0.001187508 -0.0108167834 -0.0859038109  0.0471944783  0.1615687263  0.0040965640 -0.0231336362
## x4       -0.0658862355  0.002141611  0.0584418876  0.0303261864  0.0340750356 -0.0399354290  0.0282157554 -0.0957091014
## x5        0.0913316928  0.006977725  0.1184609797 -0.0007836062  0.1307669055 -0.0146375309  0.0534145124  0.0625673597
## x6        0.0851561357  0.014171626 -0.0790863248  0.0886927949 -0.0278777481  0.0340830015 -0.0603237736 -0.0989741299
## x7       -0.0633192466  0.118359095 -0.1064557570  0.0356161868  0.0594056279 -0.0523721395 -0.0502372923  0.0048868987
## x8       -0.1557034608  0.016762108 -0.0768647293  0.0424308740  0.1910226604 -0.0779341375  0.0145359517  0.0170408570
## x9        0.0192762205 -0.050412181  0.0323024757  0.0685581168  0.0166600206 -0.0476305964  0.0091130651  0.0010709477
## x10      -0.0585746755 -0.046441531 -0.0588591176  0.0142237025  0.0106788090  0.0160384619 -0.1097922234  0.0348852392
## x11      -0.0318879133 -0.095021463 -0.0294180275 -0.1524469294  0.0155201031  0.0317283863  0.0470901639 -0.1237507827
## x12      -0.0109065263 -0.024861349  0.0579963494 -0.0878691159  0.0272472238 -0.0235064826 -0.0074211016 -0.0297963073
## x13       0.0087762417 -0.003623910 -0.0124875555  0.0115462419 -0.0121658550  0.0466444679  0.0614662514  0.0363093440
## x14      -0.0071490451 -0.008171736 -0.0100001643 -0.0570777390  0.0026486828 -0.0327973568 -0.0066693433 -0.0468791810
## x15      -0.0500109906  0.010250359  0.0525062069 -0.0495075792  0.0850842407 -0.0689498637  0.0816714504  0.0526509933
## x16       0.1033121478 -0.070917415  0.1645440464 -0.0575071521 -0.0087649928  0.0545924979  0.0358970069 -0.0287199716
## x17       0.0685590494 -0.038604472  0.0421696145  0.0402125199  0.0379734331 -0.1148965419 -0.0072283783 -0.0969030665
## x19      -0.0087496397 -0.032376736  0.1014480967 -0.0562263482 -0.0968269331  0.0094126503  0.0080126327  0.0081604172
## x20      -0.0239389389  0.121702178  0.0750121317  0.0209542587  0.0781805850 -0.0457807841  0.0045472104  0.0780517261
## x21      -0.0361604443 -0.066693619 -0.0046272303 -0.0394601286  0.0201441763  0.0234514351  0.0715244284 -0.0346806706
## x22       0.0406019689 -0.082679569 -0.0215093623 -0.0004851259 -0.0589167804 -0.1019409399  0.0587499431  0.0320548052
## x23       0.0904224096  0.002424696  0.0699909313  0.0236822391  0.1204208681 -0.0150995976  0.0126856847 -0.0333963795
## stat1     0.0106126327 -0.004435257 -0.0337915053 -0.0159767874  0.0066075664  0.0980477524  0.0627014819 -0.0265561119
## stat2    -0.0433345757  0.074347197  0.0296506585 -0.0593089556  0.0464536224  0.0199336188 -0.0052915994 -0.0051957414
## stat3    -0.1293968527 -0.066009826 -0.0445045893  0.0842519167  0.0355297419 -0.0632901524  0.0050103259  0.1241729560
## stat4     0.0756756816  0.014642029 -0.1307220185  0.0853812961  0.0390119419  0.0052345124  0.0351767743 -0.1262599016
## stat5    -0.0574465653  0.039024013  0.0256755330  0.0057293113 -0.1743658457 -0.0266015222 -0.0664864469  0.0517135216
## stat6    -0.0717141197 -0.044251225  0.0589582883 -0.0405927006  0.1140044002 -0.0020978958  0.1304341074 -0.0178521267
## stat7    -0.0113894349  0.020428989  0.0361269520  0.0669954389  0.0915536047  0.0874367803 -0.0188849910 -0.1048792343
## stat8     0.0133011795  0.014973756 -0.0269408543  0.0316939492  0.0495582742 -0.0080603650  0.0773139057  0.0154631213
## stat9     0.0263010702 -0.045172265  0.0131555654 -0.0935112317  0.0274052135  0.0023669702  0.0245047443  0.0270292145
## stat10    0.1245829195 -0.013379451  0.0485620390  0.0472335173  0.0732135924  0.0239596102 -0.0947946991 -0.0571922074
## stat11    0.0193615485 -0.035754022  0.0740858242 -0.0217035902  0.1125476663  0.0495950226  0.1340231581  0.0533807365
## stat12    0.0427302896  0.033064734  0.0153196821 -0.0080723148 -0.0913043637  0.0321665034  0.0358907893 -0.0013876205
## stat13    0.0274819997  0.020239780  0.0241812234  0.0005961315 -0.0166576296  0.1136832907 -0.0230738672  0.1081669388
## stat14   -0.0101396083  0.033675907  0.0062911295  0.0105786635  0.0079570240  0.1074652250  0.0140989763 -0.0156881895
## stat15   -0.0533555169  0.004630210 -0.0349347420 -0.1226784258  0.0285781441 -0.0318337061 -0.0474628109  0.0106360176
## stat16    0.0169377804 -0.023582581  0.0087753832 -0.0084240892  0.0007939735 -0.0199131446  0.0152680281 -0.0150385543
## stat17    0.0191684017 -0.036095780 -0.0410805393 -0.0343718550 -0.0174539171 -0.0687866249 -0.0174403663  0.0364265428
## stat18   -0.0509160321  0.055660730 -0.0005068731  0.0592382670  0.0327434177  0.0049680403 -0.0035724596 -0.0554578603
## stat19   -0.0570035423 -0.082029498  0.0081979068 -0.0134946090  0.0540663940 -0.1414168053  0.0319010917 -0.0236850007
## stat20    0.0386076050  0.149257234 -0.0869298711 -0.1519013926 -0.0266476572 -0.1592907579 -0.0235027751 -0.0197475350
## stat21    0.0117584823 -0.028818772  0.0064418960  0.1637387174  0.0470523673  0.0309845207  0.0525481154  0.0472163795
## stat22    0.0322378062 -0.074565958 -0.0708480583 -0.1238859917 -0.0397563893 -0.0005736159  0.1150628052  0.0163405389
## stat23   -0.1178881765  0.076606031  0.0177074190  0.0142705600  0.1079555286  0.0026756791 -0.0109213424 -0.0430700726
## stat24    0.0700100042  0.030677353  0.0150128325 -0.0622703520  0.0060539718 -0.0222411418  0.1467271294 -0.0516026388
## stat25   -0.0081741460 -0.061710791  0.0568515179 -0.0231238677 -0.0090404422  0.0228655375 -0.0882660249 -0.0558854213
## stat26   -0.1062986476  0.073573127 -0.0338408197 -0.0578324184 -0.0077773833  0.0041274285 -0.0021448504 -0.1163490412
## stat27    0.0037637910  0.041833567  0.0753991274 -0.1031306681  0.0441072880  0.0102504087 -0.0101587600 -0.0121632623
## stat28    0.0263376062 -0.030107212  0.0739722169 -0.1126823758 -0.0131340340  0.0290628773  0.0019745293 -0.0051905908
## stat29    0.0325014671 -0.085820383 -0.0039484852  0.0955548516  0.1298807881 -0.0926332606  0.0568465685  0.0037311111
## stat30    0.0272879341 -0.068632501 -0.0537196992  0.1099662088  0.0688685119  0.0671673768 -0.0450289556  0.0449158422
## stat31    0.0119014905  0.035724069 -0.0776161836  0.0077440201  0.0235869522 -0.0054383454  0.1066225027 -0.0169700385
## stat32    0.0360251185  0.048003918  0.0470216082 -0.0291944281 -0.0479009554 -0.0253557106  0.0503507110  0.0780301419
## stat33    0.0570339671  0.026450274 -0.0182013144  0.0637215027 -0.0585138275 -0.0174301723 -0.0083811520 -0.0167440382
## stat34    0.0368508021 -0.079525600  0.0806353617  0.0304390515  0.0107969255  0.0162263501 -0.0278550107  0.0021813130
## stat35   -0.1001546569  0.039398122 -0.0811799917 -0.0213847731 -0.0581566047 -0.0652334787  0.0523892756  0.0086786592
## stat36   -0.0752492223  0.061660820 -0.0191276830  0.0931104658  0.0465798122  0.1126772901  0.0731726444 -0.0419381477
## stat37   -0.0916965313  0.106779270 -0.0269499781 -0.0146425526 -0.0545278915 -0.1213800417 -0.0944915397 -0.0280192809
## stat38    0.0417299972  0.109894376  0.0562611682  0.1089765060  0.0463515114  0.0797386310  0.0145411974  0.0166548274
## stat39    0.1482331633  0.078185167 -0.0478650261 -0.0916183679 -0.0555286138  0.1043481565 -0.0232824711 -0.0712029956
## stat40    0.1013039357  0.039619920  0.0449361873  0.0152231667 -0.0365099696  0.0177608264  0.0641153232  0.0136528189
## stat41   -0.1471300151 -0.007415161  0.1282119756  0.0215093509 -0.0769798165 -0.1009751610 -0.0647371524  0.1275708123
## stat42    0.0070629313  0.050734366 -0.0425851835 -0.0346206579  0.0243010827  0.0320276350 -0.1375294269 -0.0016312387
## stat43    0.0140111008  0.008313662  0.0460255048 -0.1082433081  0.0697628646  0.0293231829 -0.0693744301  0.0055812590
## stat44   -0.0266252064 -0.007290473  0.0604379154  0.0809342087  0.0383360975  0.0057038600 -0.1044092584  0.0632018005
## stat45    0.0356144835 -0.015542691  0.0668731739  0.0528459322 -0.0404081505 -0.1102125644  0.0385518541 -0.0048456635
## stat46    0.0633912485  0.017360216 -0.0762693376 -0.0397292723  0.0025124170 -0.0417437787 -0.0728593259 -0.0291206117
## stat47   -0.0905045435  0.033575158  0.1939895870 -0.0051886551 -0.0416695213  0.0459311970 -0.0059064941 -0.0576364584
## stat48    0.0315934884 -0.006432163  0.0146937153  0.1037367663 -0.0560581388 -0.0134545192  0.0215172810 -0.0260466379
## stat49    0.0363086745 -0.059793495 -0.0242608185 -0.1012518780 -0.0231141156  0.0270959730  0.0144143862 -0.1061324015
## stat50    0.0585145595  0.050886356 -0.1248406758 -0.0281296864  0.1124718910  0.0035833137 -0.0199593772 -0.1187887865
## stat51    0.0175684694 -0.007607193  0.0100868849 -0.1262796796  0.0412296037 -0.0187930056 -0.1120493389 -0.0211475651
## stat52   -0.0590352189 -0.016878781  0.0103559095 -0.0935316708 -0.0434857213 -0.0223773745  0.0069387045 -0.0810678383
## stat53   -0.0846862208  0.030630870  0.0414333526 -0.0967718714  0.0143802242  0.0026255981 -0.0194479730 -0.0614096321
## stat54   -0.0158850108 -0.057250774 -0.0104877599  0.0847186418 -0.0124745135 -0.0987324144  0.0118268341 -0.1234252643
## stat55   -0.0653500429  0.049061083  0.0870457416  0.0659279840 -0.0528332326 -0.1180542096 -0.0598746324  0.0635052331
## stat56    0.0365251051 -0.070586140 -0.0104701152 -0.0521082216 -0.0186445109 -0.0146048043  0.0301936457  0.0140841664
## stat57   -0.0809868366  0.032585863 -0.0902363451  0.0078542870  0.1173955001  0.0093316949 -0.0239004752  0.0268185322
## stat58    0.0294976468  0.149626067 -0.0754624073 -0.0169859890 -0.0834192645  0.1195119294 -0.0998721552  0.0090616351
## stat59    0.1142615221 -0.010278985  0.0532822329 -0.0933814875 -0.0925639985 -0.0572617777  0.0066282490 -0.0269434649
## stat60   -0.0632379004  0.011413579 -0.1119351185 -0.0547177376  0.0557076323 -0.0755918909  0.0288588193 -0.0346227803
## stat61   -0.0116659464 -0.031025540 -0.1046177630  0.0246694565 -0.0124766700  0.0915421938 -0.0659376069  0.0405719485
## stat62    0.0129607775  0.101389631  0.0238354053  0.0046549120  0.1348409905  0.0086696382  0.0997973021 -0.1689788350
## stat63   -0.0154261767 -0.005842735  0.0687080200 -0.0322906434  0.0526501806  0.0188344662 -0.1623161153 -0.0239822685
## stat64   -0.0010321774 -0.038158300 -0.0488702280  0.1118534767  0.0826117020  0.0151898444  0.0136399323 -0.0290612604
## stat65    0.0502783640  0.104616379 -0.0285912228 -0.0375314329 -0.0098257926 -0.0040097729 -0.0598658481  0.2033126890
## stat66    0.0606514473 -0.027680450  0.0097265463  0.1063393262 -0.0540824046  0.0262221644  0.0942471325  0.0015756680
## stat67   -0.0556015920  0.071492198 -0.0619117918  0.0170405020 -0.0823713978 -0.1193344396  0.0002274654 -0.0302961981
## stat68   -0.0410486519 -0.041269787 -0.0760873338 -0.1027038265 -0.0522363475  0.0087338589  0.0069887105  0.0600023213
## stat69    0.0096106955 -0.063234942 -0.0393221622  0.0939071721  0.0606074599  0.0129058925  0.0873607446  0.0922555063
## stat70    0.0727354481  0.021734628  0.0190747524  0.0372165151  0.0984341964 -0.0727677337  0.0305786741 -0.0908186981
## stat71   -0.0738231994  0.026232644  0.0656201003 -0.0388577835 -0.0350981742  0.0885204888 -0.0433395759  0.0275047241
## stat72    0.0092723695 -0.009151415  0.1032364637  0.0604948519  0.0238353603  0.0434457242  0.0393023852 -0.0976662234
## stat73    0.0277330633 -0.066759958  0.0194289934 -0.0485682257 -0.0238793649  0.0784562377 -0.0037336722  0.0162280931
## stat74   -0.0759545668 -0.112725982 -0.0619894888  0.0789886708 -0.1027932647 -0.0001323860 -0.0576458405 -0.1016663668
## stat75    0.1101892341 -0.034188600 -0.0959208779  0.0002155949 -0.0679628294  0.0178263787  0.0161213215  0.1122487982
## stat76   -0.0765037655 -0.038986603  0.0799255988 -0.0453889456 -0.0412818171 -0.0260900392 -0.0691483702 -0.0700853462
## stat77   -0.0040436007  0.035840232  0.0802334523 -0.0237978256  0.0309935194  0.0199139418 -0.0148143803 -0.0118834478
## stat78   -0.0351100849  0.083201999 -0.0631805768 -0.0668374316 -0.0403449113  0.0332651314  0.1158894045 -0.0131584481
## stat79    0.0324861960  0.042355023 -0.0068265517 -0.0373837325 -0.0538915164 -0.0215876212 -0.1415669335 -0.0297860425
## stat80   -0.1937688921  0.032143862  0.0048545352  0.0360970283 -0.0252556232 -0.0809995490 -0.0880916172 -0.1465534146
## stat81   -0.1187923886 -0.111529565 -0.0335215930 -0.0377464041 -0.0013023085  0.0138418290 -0.1360957631  0.1069403510
## stat82    0.0024710756 -0.052421605  0.0180615424 -0.0557350998  0.1382145201  0.0154970711 -0.0086554489 -0.0156470482
## stat83    0.0324005327  0.150464534 -0.0277062036  0.0828961437  0.0214381740  0.0594143705  0.0488357514  0.1194979054
## stat84    0.1235099581  0.076242857 -0.1207046012 -0.0954623210  0.1115142900 -0.0580678112 -0.0039488522  0.0396799305
## stat85    0.0137778345 -0.044855613  0.0211735138  0.0032750725  0.0381166525 -0.0852862579  0.0180185061  0.1134547572
## stat86    0.0021949530 -0.083154711 -0.1065725398 -0.0071927501 -0.0428670601 -0.0787612170 -0.0238270106  0.0209829580
## stat87   -0.0728863821  0.014520535 -0.0199868380  0.0027854939  0.0955721546  0.1070765941  0.0829084621  0.0278343977
## stat88    0.0368209573 -0.077928482 -0.0863160308  0.0637363813 -0.0134091075 -0.0388577662  0.0466240619  0.0410428427
## stat89   -0.0450301928  0.060555313 -0.0364973412  0.0641605000  0.0751958596  0.0307133680 -0.0453352849 -0.0714019912
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## stat110  -0.1025170085  0.025837579  0.1344075918  0.0117979480  0.0190833593 -0.1155371408 -0.1081631627  0.0797393790
## stat111   0.0292788291 -0.033330146 -0.0475526831  0.0150343000  0.0102831791 -0.0160173102  0.0812315899  0.0540261698
## stat112  -0.0436590785 -0.134210177  0.0353928775 -0.0241792364  0.0702835131 -0.0219643071  0.0220160945  0.0406955237
## stat113   0.0262286992  0.070025980 -0.0453683986 -0.0216985150  0.0260943356  0.0270656241 -0.0970772111 -0.0484609294
## stat114  -0.0501577973  0.036905964  0.0451035505 -0.0388462999 -0.0525883594 -0.0009583423  0.0893356312  0.0112203028
## stat115   0.1016291792  0.053235820  0.0731419974  0.0584435097  0.0427772314  0.0395307371 -0.0789544319 -0.0560156118
## stat116  -0.0780591590 -0.025202431 -0.0138719446 -0.1210489838  0.0276385560 -0.0307640607  0.0111254065  0.0015781493
## stat117  -0.0323125242  0.050655742  0.0775747514  0.0298546144 -0.0010561864  0.0042478252  0.0344999321 -0.0267443391
## stat118   0.0307001178 -0.023793157  0.0893783257  0.0719238943  0.0331954156 -0.1161090767  0.0316515170  0.0341895462
## stat119   0.0756360922  0.053553572  0.0675983549  0.0408624107  0.0173417492 -0.0876515535  0.0645833761 -0.0216093119
## stat120   0.0397060340 -0.003352038  0.0062754494  0.0534065142 -0.0143756612  0.0149060845  0.0094788381 -0.0906479753
## stat121   0.0040732250  0.036662179 -0.0098360079  0.0720952954 -0.0083435532 -0.0118564972  0.0428583732  0.1052048914
## stat122   0.0256163387  0.031624949  0.1031673698  0.0536512496  0.0040021667  0.1533039441 -0.0552611774 -0.0916450665
## stat123  -0.0163006060  0.001590214 -0.1177223751 -0.0997638926  0.0066934178 -0.0326069832  0.0585549043  0.0358854868
## stat124  -0.0588814754 -0.009153083  0.0823608000  0.1293707540  0.0462961082 -0.0859962688  0.0060128202  0.1380588879
## stat125  -0.0564005620 -0.050109586  0.1333532487 -0.0039550149 -0.0299582401  0.1187502324  0.0991971859 -0.0512241753
## stat126   0.0597090814  0.033474762 -0.0078602400 -0.0324681997 -0.0625131120 -0.0419855761 -0.0093788284 -0.0277432919
## stat127   0.0736078722  0.025441895 -0.0460898367  0.0539536641  0.0284294263  0.0329597123  0.1221088596  0.0668180715
## stat128  -0.1137084638 -0.056013425 -0.0604435687  0.0001102954 -0.0516104649 -0.0216943407  0.0296394270 -0.0540250623
## stat129  -0.0130462819 -0.039805716 -0.0546668083  0.0826688455 -0.0054456569 -0.0495796116 -0.1436485658 -0.0450296706
## stat130  -0.0040408309 -0.081778469  0.0580298934  0.0612112892  0.0249020406  0.0855028114 -0.0717331166 -0.0384859305
## stat131  -0.0043085670  0.010732931 -0.1597710393 -0.0602320197  0.0630603707 -0.0184075266  0.1153980748  0.0157880125
## stat132   0.0335458871  0.141724418 -0.0261944074 -0.0616766860  0.0935750358  0.1275184243  0.0202832940  0.0075770915
## stat133   0.0522213722  0.090387653  0.0184539271  0.0127263426 -0.0336844155 -0.0046262341 -0.0483339650  0.0818936521
## stat134  -0.0119592609 -0.042281436 -0.0930307849 -0.0064159184 -0.0199767693  0.0071892531  0.0736379369 -0.0311788663
## stat135   0.0112965155  0.067882898 -0.1303875773 -0.0046101155  0.0713632148  0.0347328754  0.0074939319  0.0810800540
## stat136   0.0180387697 -0.028602150 -0.0487062683 -0.0018853377  0.1043831851  0.0454983779 -0.1266690931  0.0661237804
## stat137   0.0854682850 -0.053327373  0.0810974049  0.0434940189  0.0148623338 -0.0055774849 -0.0904240069 -0.0092465920
## stat138   0.0966767926 -0.165924132  0.0953101615 -0.0615678831  0.0304371078 -0.0571053295 -0.0219232257 -0.0001869816
## stat139  -0.0524398153 -0.078837587 -0.0988352198 -0.0050936164  0.0550059846 -0.0210492145  0.0160777516 -0.0373177932
## stat140  -0.0265534765 -0.042303379 -0.0080302802  0.1794000577 -0.0610119656  0.1007740660  0.0331859739 -0.0589973372
## stat141  -0.1174072876 -0.075236033  0.0907556762 -0.0003364056 -0.0078365091  0.0033855420  0.0009315918  0.0163161618
## stat142  -0.0154003308  0.040938285 -0.0129744750  0.0714885007  0.0406985078  0.0039003667 -0.1379727845  0.0148246406
## stat143  -0.0407352650  0.080372463 -0.0845194926 -0.0315792917  0.0621911612 -0.0023215833  0.0512586919 -0.0148128047
## stat144  -0.0953279713  0.009472973  0.0200742054 -0.0379092820  0.0445031447  0.0567497881 -0.0060226504 -0.0413388163
## stat145   0.0063563733 -0.016044910  0.0267165824  0.0125923658  0.0408319001  0.0207692397  0.0047875281 -0.0782517380
## stat146   0.0501576091  0.034264915 -0.0638659212 -0.0462045475 -0.0720014718 -0.0677858971 -0.0115249280  0.0572113030
## stat147  -0.0348666031 -0.078228045 -0.0950839768  0.1035069944  0.0450721927 -0.1209964502 -0.1340226808 -0.0100610625
## stat148  -0.1034161594 -0.047899314  0.1597576342 -0.0555227810 -0.0656343792  0.0221357800  0.0090300794  0.1089210790
## stat149   0.0189306257  0.069455811  0.0102991488 -0.0089474399  0.0488273924 -0.0337028778  0.0019235547 -0.0840121031
## stat150   0.0170398557  0.052187893  0.0634954982  0.0171206823  0.0184751850 -0.0748787955  0.0382838431 -0.0236329097
## stat151   0.0630550608  0.088316577  0.0303207244 -0.0332053882 -0.0773657639 -0.0219804132 -0.0231182508  0.0164338118
## stat152  -0.0376453636  0.066611321  0.0473362343  0.0235487685 -0.0408070626 -0.0035949150  0.0208872513 -0.1171052135
## stat153  -0.0603346330 -0.042544048 -0.0960365843  0.0352483847 -0.1061672087  0.0410194862  0.0610180981 -0.0771115143
## stat154   0.0514249039 -0.122272334 -0.0513132466  0.0426540832 -0.0070526165 -0.0084334418  0.0531127992  0.0531632395
## stat155   0.0116005945  0.022469417  0.0344122445 -0.1451996697  0.0390403932 -0.1082965319  0.0006306170 -0.0375248101
## stat156   0.0618921628 -0.052898008 -0.0395577375 -0.0110889050 -0.1473186002 -0.0583856939 -0.0469559024  0.0077679373
## stat157  -0.0709569355  0.014860662  0.0126346377 -0.0138748330  0.0352716728  0.0645000958 -0.0240591337  0.0158345882
## stat158   0.0019320551 -0.013395876  0.0491816148  0.0208424896 -0.0940165863  0.0111450606 -0.0550171184 -0.0365213770
## stat159  -0.0697133296 -0.023906051  0.0476108719 -0.1010548603  0.0211836199  0.0810665703 -0.0797145613 -0.0228221844
## stat160  -0.0135352704 -0.129869708  0.0285052973  0.0454753061 -0.0048303157  0.0144956821 -0.0330967942 -0.0201041087
## stat161   0.0270697012  0.070881899 -0.0646355594 -0.0488163476 -0.0434382086  0.0927738007  0.0264187780 -0.0147335310
## stat162   0.0647739795  0.003075739  0.0173095466 -0.1427937091 -0.0663753432 -0.0034350854 -0.0148516369  0.0617290035
## stat163   0.0183703866  0.077089806  0.1037144603  0.0386326282  0.1255248486 -0.0202586582  0.1996623099 -0.0733594330
## stat164   0.0476459932 -0.015235990 -0.0282358256 -0.0212548652 -0.0466490863 -0.0770518743 -0.0671135142 -0.0467112652
## stat165   0.0055849185  0.123920825 -0.0471367725 -0.0344780621  0.1574550823 -0.0803483371  0.0253844745  0.0867153786
## stat166   0.0605869604 -0.037454015 -0.1211432029  0.0065202240  0.0028618392 -0.0523666569  0.0145381841 -0.0047533505
## stat167  -0.0888290568 -0.077496748  0.0760551257 -0.0286544919  0.0235538144 -0.0011766649  0.0975080481  0.0140966325
## stat168   0.0408859979  0.018964670 -0.0628479798  0.0299778948 -0.0528191713  0.0726943747  0.0042943220  0.1213304926
## stat169   0.0379252419 -0.038569073  0.0243836910  0.0680737815 -0.0229567272  0.0318464934 -0.0772566392 -0.0324204947
## stat170   0.0808763836  0.015125772 -0.0889796504  0.0280763227  0.0584073725 -0.0465056758 -0.0051046602 -0.0567244427
## stat171   0.0774019301 -0.001410886 -0.0909410378  0.0083441338  0.0663440800 -0.0016250696 -0.1344168367  0.0316086311
## stat172  -0.0611183553  0.049481351 -0.0196943842  0.0329639112 -0.0174889458 -0.0440466382 -0.1226461459 -0.0646194560
## stat173   0.0184079508  0.070993686  0.0167380743  0.0419930748 -0.0971788316  0.1004982475  0.0155641543 -0.0727578786
## stat174  -0.0709317429  0.082872579  0.0039405815  0.0296246709 -0.0885925119 -0.0539447644 -0.0206404842  0.0109095376
## stat175   0.0617289485 -0.048869783 -0.0584130060 -0.0017339953  0.0107074695 -0.0294297891 -0.0220351749 -0.0256583572
## stat176   0.0578461663  0.083789081  0.0608745063  0.0727017367  0.0735098131 -0.1229302610 -0.0540926391  0.0529315695
## stat177  -0.1483461574 -0.042293801 -0.0730351196  0.0878415200 -0.0175450086 -0.0851845653 -0.0536074640 -0.0831812805
## stat178  -0.0539841998  0.151043568  0.0242653897  0.0879745715 -0.0562431651 -0.1262899349 -0.0006905507 -0.0042630646
## stat179   0.0951724531 -0.066176854 -0.0033437320 -0.0113551361  0.0889608212 -0.0466541006  0.0308675404  0.0378350103
## stat180  -0.0090500999  0.038321715  0.0016419332  0.0136751240  0.0556087024  0.0914177025 -0.0254589832  0.0618187586
## stat181   0.0125966037 -0.022450888  0.0277276854  0.0419225561 -0.0313199197  0.0118496550  0.1869869433  0.0962123085
## stat182   0.0333570864  0.130064642  0.0506521622 -0.0456959373 -0.0121009206  0.0256573684 -0.1114024231  0.0021656794
## stat183  -0.0305783978 -0.023996084  0.0562456365 -0.0338405055  0.0371138373  0.1027499025 -0.0324482169  0.0048572044
## stat184  -0.0067916716  0.015252451  0.0766288645 -0.0351203866 -0.0903646380 -0.1272764184  0.0396982606 -0.0796468878
## stat185  -0.0876446913  0.031594988 -0.0483373785  0.0489817495  0.0443239278 -0.0352235559  0.0936613714  0.0911696344
## stat186  -0.0775598906 -0.011129451  0.0230453766 -0.1407118799  0.0568280478  0.0308264693 -0.0574926381 -0.1047866476
## stat187  -0.0386214232  0.005138111 -0.0041482058 -0.0615982730  0.1348929454 -0.1228913769 -0.0071993429  0.0338191655
## stat188   0.0429442793  0.206750334 -0.0274919586 -0.0240459903  0.0744232022  0.0171977979  0.0211789763 -0.0145966007
## stat189   0.2198790673  0.001603376  0.0806575793 -0.0887855751  0.0466224796 -0.0541704586 -0.0404852387 -0.0808652747
## stat190   0.0273786425  0.009998540  0.1094803922 -0.0582997250  0.0186556104 -0.1393929369 -0.1019086471 -0.0457210232
## stat191  -0.0018591204 -0.031114008  0.0501727467 -0.0010989957  0.1840313539  0.0648653938 -0.1291301649  0.0095451633
## stat192   0.0554151113  0.005625813 -0.0071667396 -0.0681767095 -0.1349200381 -0.0932594847 -0.0066726845  0.0258322525
## stat193   0.0575441430  0.061440128 -0.0140384349 -0.0316921801  0.0186550994  0.0476005848 -0.1776402769  0.1405718656
## stat194  -0.0551367088 -0.045587476  0.0293425565  0.0976730260 -0.0294528405  0.0387039901  0.0454364942 -0.0555126775
## stat195   0.0987081406  0.062232967  0.0456829653 -0.0436921648  0.0089118362 -0.0826122954  0.0238727406  0.0855335306
## stat196   0.0063938392 -0.014352243 -0.0024783155  0.0215179989 -0.0768263793  0.0143090214 -0.0379493897 -0.0343884240
## stat197   0.0713617122  0.074723771  0.0432611497  0.0453968275 -0.0329642673  0.0223472979 -0.0741462235  0.0417434911
## stat198   0.0320928890 -0.069556878 -0.0746578390 -0.0825440251 -0.0738560599 -0.0526473269  0.0164665161 -0.0306365306
## stat199   0.0863685866 -0.104554242  0.0007376481  0.0228293286  0.0595135382 -0.0336963878 -0.0449162012  0.0599004116
## stat200  -0.1638333041  0.115802895 -0.0070500652 -0.1017696732 -0.0186049012  0.0645878109 -0.0197995379  0.0816199746
## stat201   0.0292408584 -0.031749448 -0.0680980774  0.0156158355  0.1108994464 -0.0147004915  0.0550949092 -0.0431657471
## stat202   0.0288697137 -0.063393833  0.0076635804  0.0077487017  0.0172027438  0.0576058309 -0.0443713856  0.1087370549
## stat203   0.0886429048 -0.054032033  0.0828877196 -0.1009653820  0.0377803193  0.0078182432 -0.0659943387 -0.0955286291
## stat204   0.0904947602  0.038738936  0.0863848288  0.1170579752  0.0243934330 -0.0504286890  0.0452366848  0.0541915255
## stat205   0.0703104764  0.027499357  0.0203878876 -0.0515321841  0.0224138621 -0.1088450306 -0.0368071910 -0.0717598387
## stat206  -0.0961111546  0.066470381  0.0057910530  0.0500589868 -0.1138879374 -0.0220930512  0.0456511886 -0.1103868162
## stat207   0.0009674362  0.109486521 -0.0010510167  0.0364929067  0.0645076710 -0.0422264171 -0.0658924794  0.1056745051
## stat208  -0.0116239074 -0.017098327 -0.0398445574 -0.0185063982  0.1602825354 -0.1638646679 -0.0214912853 -0.1337436754
## stat209   0.0288695672 -0.036779109 -0.0914197108 -0.0727792521  0.0862704725 -0.0312049778 -0.0046664596  0.0434487768
## stat210   0.0689677555  0.017341859 -0.0244586310 -0.0484319087 -0.0193811869  0.0003910985  0.0498536466 -0.0558328604
## stat211   0.0320014993 -0.013504062  0.0811996092 -0.0206138706  0.0876477824 -0.0184021791 -0.0025941572 -0.0257244146
## stat212  -0.0316227802  0.003042043 -0.1062795486 -0.0706790191 -0.0191125963  0.0742863335  0.0210188243 -0.0665339301
## stat213   0.0753311510  0.051708815 -0.0691951568  0.0873340421  0.0201938743 -0.0014347409 -0.1082247871 -0.1282453507
## stat214  -0.0053054800  0.027574410 -0.0573081645  0.0039187659 -0.0363456468 -0.1763691562  0.0877584958 -0.0634018296
## stat215   0.0459482246  0.007351648 -0.0037400034  0.1159258788 -0.1369615818 -0.0999322265  0.0608392857 -0.0074122012
## stat216   0.0187380440  0.002207302  0.0505659997  0.0460678557  0.0164248737 -0.0439535790 -0.0243768177  0.1469015768
## stat217   0.0831024312  0.043475140  0.0700850971  0.0097790131  0.0017722429 -0.0569532348 -0.0397258699  0.0226549943
## x18.sqrt  0.0005090436 -0.122268598  0.0073906790  0.0453386170  0.0793432888 -0.0033396046 -0.0595404995  0.0394110016
##                  PC62          PC63          PC64          PC65          PC66         PC67          PC68          PC69
## x1        0.012243440  1.429244e-02  0.0250905782  0.0160591129 -0.0242492738 -0.041687256  0.0107402987  0.0051925929
## x2        0.010326453 -8.814627e-02 -0.0274239175  0.0562002076  0.0924536435  0.048170706 -0.0632055574  0.1670348688
## x3        0.057872916  1.030552e-02 -0.0642528712  0.1172444529  0.0349517579  0.027412085 -0.0479544044  0.0278369061
## x4       -0.129484964 -3.892616e-04 -0.0582988036  0.0528869133 -0.0093275507  0.005887482  0.0312688471  0.0537097549
## x5        0.054104482 -1.108979e-02  0.0806540101  0.0160960794 -0.1014630278 -0.074086036  0.0760417100 -0.0208223386
## x6       -0.055502618  7.572514e-02 -0.0490899958  0.0105146777  0.0173381884 -0.038476620 -0.0732098625 -0.0349039216
## x7       -0.011475271 -2.870802e-02  0.0475217539 -0.0581313254  0.0091613059  0.060373015 -0.0770998021 -0.0555566690
## x8        0.006358028 -3.926175e-02 -0.0587516084  0.0605868667  0.0040243095  0.031984243  0.0175379405  0.0155761740
## x9       -0.106625617 -8.824361e-02 -0.0211401110 -0.0149824710  0.0432237222  0.049858684 -0.0829281335  0.0765593549
## x10      -0.025293706  2.113895e-02  0.0056754347  0.0305662239  0.0199173498 -0.024493173 -0.0050842120  0.0894887636
## x11      -0.003951477 -1.697104e-02  0.0574467816 -0.0130543584 -0.0083030593  0.052510712  0.0799822669  0.0205367680
## x12       0.074879291  8.776909e-02 -0.0455155722 -0.0179082452 -0.0421343186  0.048424298  0.0879943186 -0.0320146889
## x13       0.067301884 -1.650935e-02  0.0974733492  0.0623358086  0.0039373322 -0.005301185 -0.0419039144  0.0698116256
## x14      -0.043202735  3.562162e-02  0.0439539690  0.0040083617  0.0086803621 -0.060920839  0.0425438573 -0.0227005737
## x15      -0.101935884  7.076011e-02 -0.0147040241  0.1015622429  0.0501545132  0.035914780  0.0065451028 -0.1073262962
## x16       0.104869591  4.641818e-02 -0.0639561535  0.1237020472 -0.0225461698  0.005760653 -0.0078376179  0.0236625314
## x17      -0.067309531  1.596161e-02 -0.0647847930 -0.0181809721 -0.0609453281 -0.030229228 -0.0361499862 -0.0167687799
## x19      -0.010319736 -1.100097e-01 -0.0591074820  0.0027175547  0.1186078930  0.063244594  0.0199568482  0.0048896293
## x20       0.006520976 -1.496993e-01 -0.0631885076 -0.0113445202 -0.0545199182 -0.059988663  0.0148538481 -0.0591871576
## x21      -0.035605363  2.492144e-02 -0.0742711890  0.0860207068  0.1085830206 -0.002089079  0.0504770280 -0.0007043101
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## stat22    0.095536642 -5.125786e-02  0.0173795884  0.1010556617 -0.0681889209  0.075066490 -0.0415915572 -0.0535573082
## stat23   -0.052888112 -5.107711e-02 -0.0537964291 -0.0634432347 -0.0529782782  0.041456996  0.0188378364 -0.0243190052
## stat24   -0.168899494 -1.125317e-01  0.0398798788  0.1046294177  0.0412304874 -0.087376357 -0.1434350986  0.0520136058
## stat25   -0.065930657 -5.980664e-02  0.0807289293 -0.0235437798  0.0698455422 -0.019193045  0.0169387664  0.1342460814
## stat26    0.049632637 -3.750881e-02  0.0440073102 -0.0219510001 -0.1104110220 -0.031357112 -0.0042540288  0.0050888811
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## stat28   -0.037585081  2.568139e-02  0.1889196115 -0.0418748473  0.0016126284 -0.064075641  0.0817032266 -0.0529141848
## stat29    0.077056666  2.844266e-02 -0.0268256768  0.0614571396 -0.0429233150  0.018380942 -0.0824466232  0.0997233307
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## stat33   -0.084852263  1.143219e-02 -0.1635672132  0.0779451508  0.1211906886 -0.042459905  0.0165035715 -0.0553518331
## stat34   -0.025517418 -9.914139e-02  0.0190691793  0.0162239584 -0.0360026467  0.016015850  0.0039748619  0.1023571061
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## stat58   -0.068820819  1.045032e-01 -0.0491001466 -0.0724934535 -0.0647419036 -0.045912894  0.0765077170  0.0061174477
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## stat71   -0.052147185 -1.814937e-02  0.0504140375 -0.1575569733 -0.0520906648 -0.027528444  0.1137090908  0.0169324487
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## stat125   0.071697190 -2.437834e-02 -0.0469324570 -0.0370027845 -0.0074356199  0.044664778 -0.1039401765  0.0588741909
## stat126  -0.097983157  2.934871e-02  0.0732230384  0.0593071761 -0.0732932200  0.072285434  0.0372166502 -0.0400928885
## stat127   0.019721790  6.433691e-02 -0.0326916057  0.0086983649  0.0376040264 -0.051208947  0.0954494589 -0.0073157212
## stat128   0.062983882  1.663073e-02 -0.0243362115 -0.1369259901  0.0629109432 -0.057452620 -0.0127064459 -0.0531771368
## stat129   0.021025146  1.211033e-02  0.0366319423  0.1437136688 -0.0331390567 -0.054818035  0.1234756602 -0.0278039376
## stat130   0.007138824  2.851680e-02 -0.0118677411  0.1410573407  0.0857963426 -0.033631101 -0.0128715525  0.1023256421
## stat131   0.058136378  7.081810e-02 -0.0914069363  0.0364330524  0.0284354531 -0.039348120  0.0242210793 -0.0621606128
## stat132  -0.069804343  3.748440e-02  0.0938816374  0.1359159190 -0.0270393982 -0.092274411 -0.0549703792 -0.0123850906
## stat133   0.005656762  3.725546e-02 -0.0510466125  0.0557782999 -0.0485505622 -0.004909883 -0.0325734972 -0.0047325438
## stat134   0.092400538 -5.107116e-02 -0.0602930182  0.1339725288  0.1017835742  0.022394300  0.0051941932 -0.0411677345
## stat135  -0.067436820 -6.910169e-02 -0.0762121125  0.0536746793 -0.0618147447  0.038414272 -0.0795303963 -0.0069260942
## stat136   0.052022461 -2.587103e-03 -0.0320071464  0.0771907815  0.1054479152 -0.027646192 -0.0294990454  0.0426705718
## stat137   0.050223938 -1.107552e-02 -0.0032062403  0.0257433754 -0.0936971460  0.018969386  0.0102261839  0.0087983170
## stat138  -0.010554362 -4.383517e-02  0.0070098258  0.0587269019 -0.0555610515 -0.158123782  0.1193381064  0.0003047474
## stat139   0.012076711 -3.283977e-02 -0.0010285923 -0.1098736246  0.0182908364 -0.031577471  0.0247485123  0.0002535623
## stat140   0.002839943 -1.379519e-01 -0.0191303733  0.0582893072 -0.0186625474  0.098827277 -0.0010654505  0.0723052938
## stat141   0.083844661  5.390217e-02  0.0414460534 -0.0031126924 -0.1542877726  0.030098836 -0.0392295335 -0.0909967639
## stat142   0.048488173 -4.465924e-03 -0.0265936877 -0.0541892142  0.0283611917  0.068181067 -0.0368604733  0.0051981591
## stat143   0.091716067  5.434007e-02  0.0623828877  0.0632786780 -0.0624192979 -0.023882019  0.1105997848  0.0249677976
## stat144  -0.073370191  1.334155e-02  0.1808894727  0.0086945556 -0.1005060013 -0.057802690 -0.0499841875  0.0844650607
## stat145   0.023484182 -7.570374e-02 -0.0475455889  0.0080456450 -0.1187444083 -0.025627078  0.0277916523  0.0445326796
## stat146  -0.027102816  5.952214e-02 -0.0466339962 -0.0178824353  0.1022319255  0.018702245  0.0017757396 -0.0408085686
## stat147  -0.025789202 -5.828726e-02  0.0870990751 -0.1381371169 -0.0011862948 -0.048632367 -0.0676776856 -0.0778823100
## stat148  -0.018432748  1.482674e-01 -0.0583897078  0.0030920253 -0.1485196589  0.092920207 -0.0420247639 -0.0400172195
## stat149  -0.035298688  3.063329e-02 -0.1531799061 -0.0741019091 -0.0085956857 -0.063429646 -0.1428257174  0.0835862232
## stat150   0.017095199 -2.375148e-02  0.0835633372  0.0704587154  0.1006468129  0.033786541  0.0720793680  0.0407668914
## stat151   0.077073721 -8.120178e-02 -0.0362514178 -0.1087616166 -0.0151145821 -0.085836902  0.0003765468  0.0381059135
## stat152   0.068018886 -1.226215e-02  0.0041792464 -0.0137321094  0.0300921860  0.006114884  0.1259495829 -0.0625007487
## stat153  -0.068044156  8.684198e-02 -0.0440694771  0.0458460640  0.0497205052 -0.129994103  0.0644870695  0.0290674479
## stat154   0.087282245 -4.706905e-02  0.0194233948  0.0405927623 -0.0188095240 -0.044120734  0.0267235492 -0.0096520608
## stat155  -0.002756277 -1.238043e-01 -0.0895767841 -0.0156860370 -0.0334103169 -0.046846553  0.0944854681 -0.0509279450
## stat156  -0.005333946  3.977856e-02  0.0591628863 -0.0331939966 -0.0834095306  0.059119966 -0.0488211538 -0.0710679378
## stat157  -0.047558819  4.970347e-02  0.1209737953  0.0062408007  0.0667528028  0.004783128 -0.0870204237 -0.0776224130
## stat158  -0.054153933  4.960144e-02 -0.0040512159  0.0613030779 -0.0317038878  0.059204855 -0.0351572453 -0.0350140946
## stat159  -0.010017169  1.737456e-02  0.0381665108  0.0764747268  0.0291067817  0.003414679  0.0919480497 -0.0627533210
## stat160  -0.085357858 -4.409910e-02 -0.0697318860  0.0205293168 -0.0715935719 -0.010172683  0.0386002321 -0.0581918129
## stat161  -0.035110455 -3.032693e-02  0.0098070807 -0.1012362033 -0.0469072646  0.033628270  0.0457369589  0.0126433268
## stat162   0.077905204 -1.220957e-01  0.0133387051 -0.0377332914  0.1299209449 -0.130282371 -0.0673331617 -0.0592759252
## stat163  -0.037520472 -2.281838e-02  0.0392302058  0.0062965132  0.0357073781  0.165765900 -0.0115662342 -0.0090548856
## stat164  -0.056242652  1.401469e-01  0.1180033913 -0.0783891252 -0.0436700929  0.026526673 -0.0330597065 -0.0216865363
## stat165   0.004008866  4.885656e-02  0.0707568124  0.0056036462  0.0347163131 -0.010809859 -0.0823429266  0.0934741765
## stat166  -0.096906675 -3.737095e-02  0.0570352435  0.0542530916 -0.0173174972  0.108187811 -0.0425228116  0.0152879916
## stat167   0.012714282  2.748623e-03 -0.0668095242 -0.0230092892  0.1674164393 -0.017066166 -0.0931122539 -0.1210582274
## stat168  -0.001332444 -1.406221e-03 -0.0869316418  0.0103305509  0.0278434173  0.041854199  0.0416875512 -0.0189551923
## stat169   0.153673070 -1.228561e-01  0.0050351043 -0.0572748727 -0.0670630639 -0.043402295 -0.0455511845 -0.1264692653
## stat170  -0.039798330  6.188766e-02  0.0455093246 -0.0886506528  0.0330349079 -0.006871627  0.0134371208  0.0942236719
## stat171   0.096270070 -2.808124e-02  0.0707244252  0.0227949751 -0.1275453237  0.004988843  0.0638892103  0.0258709371
## stat172   0.013865062 -1.217474e-01  0.0333724559  0.0920674820  0.0171406304 -0.021199743  0.0421012799  0.0188326967
## stat173   0.021672254  6.371531e-02 -0.0173941618  0.0567556867 -0.0162442941  0.044372112  0.0377387926 -0.0264387471
## stat174  -0.048978355  3.508814e-03  0.0709508589 -0.0168717180 -0.0365431896  0.021357963  0.0672886132 -0.0570086531
## stat175   0.031874775 -7.643938e-02 -0.0998962344  0.0871624860 -0.0446023689 -0.056567056  0.1454434495 -0.1299380947
## stat176  -0.030793895 -4.246759e-02 -0.0197819666  0.0497885974  0.0235772079 -0.072122629 -0.0745013446 -0.0528963547
## stat177   0.120530235  4.223946e-02 -0.0892671742  0.1431554833 -0.0748711641  0.015392192  0.0748636910 -0.0605352941
## stat178  -0.077624928  5.781448e-02  0.0554380092 -0.0237252741 -0.0321340238 -0.123131663  0.0377642126 -0.0106965347
## stat179   0.044746493  2.944955e-02 -0.0358950886  0.0097431403  0.0111950029  0.025990661  0.0770361954  0.0770382908
## stat180  -0.006253666 -1.654685e-02  0.1394846953  0.0483383486 -0.0341138502 -0.055723279  0.0292166250 -0.0277058622
## stat181   0.048852161 -8.387074e-02  0.1183385106 -0.0312573430  0.0430990981 -0.039372260  0.0128644219  0.1105849186
## stat182   0.031923778  1.078547e-03 -0.0660999174  0.0860351276 -0.0388916921  0.035471223 -0.0949961421 -0.0004553522
## stat183  -0.068279787  6.005264e-02  0.1027662348 -0.0535333065  0.0009826612  0.053065186  0.0387607220  0.1188448844
## stat184   0.027456834 -7.979198e-03  0.1155188162  0.0352298563  0.0195557283  0.049698271  0.0119187016 -0.0569663124
## stat185  -0.022339251 -2.848158e-02  0.0867773630  0.0118539928 -0.1016401423 -0.069845382 -0.0699907223 -0.0992895343
## stat186   0.129009365  5.265563e-02 -0.0329960774 -0.0655799165  0.0533282222 -0.068685811 -0.0897085797 -0.0756749244
## stat187  -0.044638722  3.912938e-02 -0.1127986625  0.0221012124  0.0054140537  0.183607198  0.0286382392 -0.0307612395
## stat188   0.123996647 -6.091430e-02 -0.1144611795 -0.1164675913 -0.0530268714  0.106237243 -0.0011826689  0.0094207295
## stat189  -0.085045054 -6.729346e-02  0.0898736932  0.0742230097 -0.0714702051 -0.031022869 -0.0310658731 -0.1024821113
## stat190   0.148726813 -5.070401e-02  0.0149421250  0.0436436489 -0.0015998277 -0.074068784 -0.0477651132  0.0285694995
## stat191  -0.071397371  8.554999e-02  0.0023010098  0.0059148702  0.1458599189 -0.133282146 -0.0824337335 -0.0757433322
## stat192  -0.022139124  8.327194e-02  0.0666505838 -0.0320690065 -0.0813235400 -0.069387545 -0.0800971370  0.0868174188
## stat193  -0.003573645 -7.863578e-02 -0.0599107110  0.0612233041  0.0003164428  0.030854269  0.0689866056  0.0141521668
## stat194  -0.033168836 -5.570923e-02 -0.1097075176  0.0259203595  0.0697488288 -0.029604570  0.0660717119  0.1664522012
## stat195   0.058238616  1.213605e-01  0.0617589004  0.0394040805 -0.1203623636 -0.076920691  0.0268911180  0.0158389258
## stat196   0.001726994  8.849082e-03 -0.0184126330 -0.0511989005  0.0734627932  0.051051013 -0.0606081512 -0.0830292678
## stat197  -0.049268750  2.090532e-02  0.1008603496  0.0951389466  0.0479358269  0.162813127  0.0103235591 -0.0104694493
## stat198   0.033044644  4.342084e-04 -0.0654453909  0.0210900628  0.0386193187  0.043063273  0.0131864053 -0.0508425289
## stat199   0.022054319  3.196854e-02  0.0251788868  0.1130524072 -0.0582684504  0.058908555 -0.0140037943  0.0168251519
## stat200  -0.100099808  5.959531e-02 -0.1281877347  0.0435577259 -0.0831088146 -0.089707526  0.1016029770  0.0694092378
## stat201   0.063053692 -1.025300e-02 -0.0141582103 -0.0133897706 -0.0610389782  0.011141870  0.0329444960  0.1301628466
## stat202   0.139087433  9.663741e-03  0.0081896716 -0.0731647151 -0.0003425571 -0.038985334 -0.0624480650  0.0639921650
## stat203   0.030910486 -7.778846e-03 -0.1760128217 -0.0412575486 -0.0387646921  0.017813278 -0.0009128827 -0.0421688516
## stat204  -0.073178812  9.639400e-03 -0.0383675275 -0.1427521784 -0.0688437473 -0.095896853  0.0691236127 -0.0580666662
## stat205  -0.021916083  6.018130e-03  0.0069533378 -0.0063020043  0.0153364524 -0.101512999  0.0568044506  0.0629921495
## stat206  -0.058297938 -5.452051e-02 -0.0913102934  0.0492617395 -0.1335339721 -0.030492359 -0.0503763499 -0.0558362007
## stat207   0.012210241 -1.051261e-01 -0.0361890954 -0.0352158191 -0.0482813544  0.036934152  0.1091003306  0.0760601614
## stat208   0.020124047  8.588204e-02 -0.0500494286 -0.0532591174 -0.0167180489 -0.029983771  0.0452158334 -0.0548820078
## stat209   0.036311232  3.995583e-03 -0.1133272059  0.0645478174  0.0436410777 -0.071368561 -0.0290797476  0.1136427565
## stat210  -0.002927080 -5.347238e-02  0.0242941602  0.0661538884  0.0571918974  0.012351633 -0.0274478928 -0.0080015716
## stat211  -0.042556534 -7.458508e-02 -0.0463404673  0.0025001536 -0.0866860616 -0.123343028 -0.0955680956  0.0790145592
## stat212   0.069976883  6.935727e-02 -0.0542550578  0.0743611121 -0.0383652742  0.053749395  0.0951698855 -0.0521908668
## stat213   0.048382978  3.110602e-02  0.0379259828 -0.0573915261  0.0920600249  0.098835144 -0.0587550068 -0.0726696145
## stat214  -0.107292656 -2.135501e-02  0.0185866043 -0.0325922494  0.0102166405  0.078992025  0.0352363240  0.0041617283
## stat215  -0.018903734 -5.232436e-02  0.0148973730  0.0969896210 -0.0076103713 -0.003074236 -0.0666259327  0.0079281793
## stat216   0.086129353 -4.868563e-02 -0.0109464720 -0.0279207391 -0.0177944314  0.081846325  0.0761007617 -0.0805433595
## stat217   0.051891546  2.618396e-02  0.0909859428  0.0166817966  0.1162921786  0.041659698 -0.0643651129  0.0403133660
## x18.sqrt -0.002676480 -8.124737e-02 -0.0181824832  0.0044606427 -0.0023917935  0.155838658  0.0192947851 -0.0456603490
##                   PC70          PC71          PC72          PC73          PC74          PC75          PC76
## x1        0.0429847317 -0.0208512626 -0.0483616947 -0.1090229294  0.1973930640  0.0142726989  2.306764e-02
## x2        0.0121138382 -0.0155503413  0.1463375808 -0.0690700189 -0.0048504589  0.1252006630  1.182280e-01
## x3       -0.0947317674  0.0363509641  0.0589240207 -0.0283067966  0.0052346271 -0.0728980659 -5.312713e-02
## x4        0.0638309248 -0.1188646938  0.0665145290  0.1341024368  0.0413483045 -0.0502633032 -8.121246e-02
## x5       -0.0071919611 -0.1260512933 -0.1163313981 -0.0868875436 -0.0324200028 -0.0112168452  1.122543e-01
## x6       -0.0588778730 -0.0629682711  0.0295279400 -0.0154975559 -0.0677961910 -0.0217520653 -1.010812e-02
## x7       -0.0033307919 -0.0448104443 -0.1142598334 -0.0237527362  0.1091014122 -0.0224992588  2.389924e-02
## x8       -0.0404500912  0.0880989515  0.0409839874 -0.0699388821 -0.1101099801 -0.0518191109 -7.950944e-02
## x9        0.0646035866  0.0637636034 -0.0325692104 -0.0017210831 -0.0783235814  0.0032186513  9.496505e-02
## x10      -0.0412356027 -0.0130285768  0.0604328579 -0.0855227929 -0.0571795638 -0.0615190486 -1.027209e-01
## x11      -0.0120380293 -0.0688009211 -0.0502601468  0.0958147647 -0.0655249989 -0.0933370390  8.232338e-02
## x12      -0.0419767060  0.0043018965  0.0568544665 -0.0350635738 -0.0688878920 -0.0125290603 -8.307833e-02
## x13       0.1004068811 -0.0290512798 -0.0359368229  0.0421834645 -0.0589550314  0.0132769181  5.848508e-02
## x14       0.0020750004  0.0948077820 -0.0338114065  0.1226948489 -0.0446161555  0.0272119465 -1.034404e-01
## x15       0.1176721182 -0.0060139019  0.0142485189  0.0112895146 -0.0168729154 -0.0125434339  6.551031e-03
## x16       0.0682726565 -0.0138249999 -0.1431049485  0.0561562382 -0.0427842318 -0.0016810493 -6.402990e-02
## x17      -0.0831426132 -0.0019148159 -0.0785193093 -0.0591184221  0.0217279113  0.0297483943  8.590828e-02
## x19      -0.0532912628 -0.1189178788 -0.0007802417  0.0271722459  0.0672825966  0.0105305324 -7.878187e-02
## x20       0.1082746833  0.0027666033  0.0831994295 -0.0449585337 -0.0616225530 -0.1522783190  1.071326e-01
## x21       0.0838619911 -0.0379658931  0.0553667717 -0.0298426543 -0.0329198028  0.0487361503  5.680989e-02
## x22      -0.0855110468 -0.0320025998 -0.0435412328 -0.0172150641  0.0238689515 -0.0602177126 -1.065791e-01
## x23       0.0668906631 -0.0874610679  0.1184416487 -0.0685548040  0.0751666515  0.0521032947 -6.803378e-02
## stat1     0.0071292387  0.0462020713 -0.0684917984  0.0340860873 -0.0098931101  0.0297467363 -1.262573e-01
## stat2     0.0657785514 -0.0159418710  0.0125044906 -0.0062098989  0.0319041260 -0.0069763427  1.107241e-01
## stat3     0.0283392289 -0.0029949362  0.0084178890  0.0614327629  0.0467689898 -0.0925376731  1.616038e-02
## stat4     0.0195125901 -0.1736147920  0.1167921019  0.0041035441 -0.0116595505  0.0518354549  6.719028e-02
## stat5    -0.1181468634 -0.0967434470 -0.0167693987 -0.0142300056  0.0608999233 -0.0494583440  3.223989e-02
## stat6    -0.0952967772 -0.0122200512 -0.0524301603 -0.0565715864  0.0341713177 -0.0388343040 -3.234853e-02
## stat7    -0.0326238502 -0.0486758949 -0.0068131688 -0.0651103704 -0.0453751206 -0.0856480459  7.065663e-02
## stat8     0.0050273389 -0.1008963087  0.0380392239 -0.0539752851 -0.0043778761  0.0391515910 -3.902442e-02
## stat9     0.0484456182 -0.0415364591  0.0517338340 -0.0885332207 -0.0028715585 -0.0222434074  1.294989e-01
## stat10    0.0394984368  0.0543953240  0.0151679983 -0.0152193357  0.0397121960 -0.0211016494  1.421373e-01
## stat11   -0.0371115773 -0.1241466569 -0.0026646277 -0.0296395200  0.0161961692 -0.0497130530  1.130605e-02
## stat12   -0.0028697383 -0.0078598219  0.0157770277  0.0756549201 -0.0725248199 -0.0425691282 -1.485652e-01
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## stat156  -0.0112914795  0.0858945224  0.0156828405  0.0143241635 -0.0567950672  0.0064181759  5.787715e-02
## stat157   0.0515088577  0.0343342514  0.0662364025  0.0970870968 -0.0526946933 -0.0131371203  5.055575e-02
## stat158   0.0575810068 -0.0312771772 -0.0667550908 -0.1006789577  0.0664386554 -0.0426789443  7.353046e-02
## stat159   0.0509224518 -0.0258326854 -0.1646309297 -0.1156801923 -0.0167882175 -0.0102529882  3.487524e-02
## stat160   0.0740847796 -0.0748275101  0.0161478419  0.0143247248 -0.0586189048  0.0770649323  8.166421e-02
## stat161  -0.0148245664  0.0102978006  0.0044515606  0.0284162385 -0.0213508379 -0.0551861521 -5.844647e-02
## stat162   0.0032003769 -0.1359628270 -0.1095964851 -0.0792551814  0.0567265874  0.0600113857 -3.875045e-02
## stat163   0.0719236551  0.0231639031 -0.0073535709 -0.0571507393  0.0534178239 -0.1296964948  1.492513e-02
## stat164  -0.0130371608 -0.0770258496  0.0489570317 -0.0563780922 -0.1059257641 -0.0527133074  6.587015e-02
## stat165   0.0379932264  0.0016307933 -0.0266481890  0.0447540885 -0.0527226862  0.1457486912 -8.739193e-02
## stat166   0.1311535077 -0.0742796895 -0.0389141941  0.0809212498  0.0192119772  0.0888599976 -8.615717e-03
## stat167   0.0091916588 -0.0693677406 -0.0488652813  0.1493531355 -0.0365488020  0.0666738813 -3.066596e-02
## stat168  -0.0187361083 -0.1165014615  0.0950238708  0.1097416343  0.1136214036 -0.1007687028 -2.761755e-02
## stat169  -0.1539590811 -0.0102108555  0.0630123535  0.0715479801  0.1805677463  0.1151439447  7.260219e-02
## stat170   0.0233053599  0.1334592024  0.0156169043 -0.0633321254  0.0062747048 -0.0814417451  3.087636e-02
## stat171   0.0458387536 -0.0580854734 -0.0167598038 -0.0533345599 -0.0870391524  0.0211556019  7.839875e-03
## stat172   0.0155820291  0.0438559328  0.0616550777  0.0382125994  0.0435570670  0.0179290017  4.710825e-02
## stat173   0.0151137886  0.0998022369  0.0219629305 -0.0371091645 -0.0535717493  0.0671616532  7.317537e-02
## stat174   0.1466534156 -0.0211857368 -0.0066921308 -0.0831783604  0.0197947368 -0.0139512355 -3.869411e-02
## stat175  -0.0692195184 -0.0156112100  0.0561622551 -0.0503012569  0.0326938391  0.0841177703  4.586865e-02
## stat176   0.0165494296 -0.0707994045 -0.0260930798 -0.0594423072 -0.0053248835  0.2028517759 -5.018553e-02
## stat177   0.0271494369  0.0595113386  0.0039600663 -0.1524256005  0.0059727411 -0.0586350735 -9.309100e-02
## stat178   0.0605403366  0.0213353905 -0.0065186219  0.1049908988  0.0467535103  0.0499980865 -8.986171e-03
## stat179   0.0240572802  0.0189743962  0.0667480106 -0.0173621905 -0.0500234250 -0.0607683643 -1.704477e-02
## stat180   0.0596349002  0.0974201336  0.0146260224 -0.0215458705 -0.0254018081 -0.0086453491 -9.347778e-02
## stat181   0.0946307132 -0.0462653132  0.1118509751 -0.0901648233  0.0268576844  0.0576732326 -5.609933e-02
## stat182   0.0232034204  0.0657970090 -0.0254388780  0.0418906764  0.0297930691 -0.0556986582  1.379120e-01
## stat183   0.0031113312  0.0111612137  0.1678959742  0.0625968471 -0.0208426532  0.0160133111  1.270145e-02
## stat184   0.0745642980 -0.0989828879 -0.0670690149  0.0029353615  0.0548863065  0.0233458869  2.398669e-02
## stat185   0.0104414799  0.0078491729 -0.0352295094 -0.1212686550 -0.1022410280 -0.1013996214  6.090889e-02
## stat186  -0.0041122954 -0.0494441354  0.0179449940 -0.0273296416  0.0396669739 -0.0019213058  4.221990e-02
## stat187   0.0158727007 -0.0542949521 -0.0611179452 -0.0014161779 -0.0313409021  0.0923865179 -3.831190e-02
## stat188   0.1050839984  0.0532789747 -0.0611328039 -0.0215336953  0.0664912225 -0.0496096816 -6.649099e-02
## stat189  -0.0216763582 -0.0008622999 -0.0817000923 -0.0108763031  0.0890645720  0.0054055513 -4.689825e-02
## stat190  -0.0575921265  0.0490177886 -0.0150448191  0.0087958207 -0.0409679623 -0.1200056395  2.550133e-03
## stat191   0.0791021324  0.1449306074 -0.0021519588 -0.0244863381 -0.0642404497  0.0194699719 -3.282104e-02
## stat192   0.0471250603  0.0334682459  0.0501615135 -0.0091349851 -0.0448401139  0.0222297996 -1.473747e-02
## stat193  -0.0043928219 -0.1186592930  0.0645460576  0.1282421744 -0.0581501291  0.0221639370 -4.196949e-02
## stat194   0.1002399709 -0.0439500494 -0.0216663938 -0.0541245454  0.0412067521  0.0109077824  3.127869e-02
## stat195   0.1087563571  0.0640893910  0.0490091966 -0.0759314550  0.0018583456 -0.0418822940 -7.336313e-03
## stat196  -0.0130566382 -0.0759908808  0.0107680390 -0.0276530738 -0.1228028192  0.0820342630 -3.493348e-02
## stat197  -0.1441177051  0.0213906003  0.0334671772  0.0454487234  0.0170809077 -0.0491203699 -4.262701e-02
## stat198   0.1162031364  0.0124363631  0.0187237282  0.0708380862 -0.0383673421 -0.0405473075 -5.780463e-02
## stat199   0.0219952132 -0.0344875526  0.0546098018 -0.0653110343  0.0028378419  0.0199957686  1.265533e-02
## stat200  -0.0038438006 -0.0334744008 -0.0613102999  0.0023471323 -0.0318440991 -0.0104233686  4.330196e-02
## stat201   0.0562803418 -0.0426907484 -0.0262736610  0.0110713845  0.0072262059 -0.0456653510 -2.609629e-02
## stat202  -0.0797980006  0.1201021221  0.0025303207  0.0513912594  0.0060353800 -0.0237017116  4.122217e-02
## stat203   0.0852392742  0.0152158051  0.0258500055  0.0760577459 -0.0320420028 -0.0598718348  7.866360e-02
## stat204  -0.0252823629  0.0880470676  0.0423891995  0.0841395635  0.0914322352  0.0032903692  1.336476e-02
## stat205  -0.0946071159 -0.0439407180 -0.0049359936 -0.0007053812 -0.1010306987 -0.0863699753 -7.099683e-02
## stat206  -0.0404329166 -0.0479070514  0.1354253999 -0.1291685917 -0.0148340953  0.0933040006 -2.984874e-02
## stat207  -0.0746042600 -0.0534978706 -0.0046216907 -0.0160221203  0.0892177918  0.0090245964  5.137257e-02
## stat208  -0.0964634122  0.0439466994 -0.0041107179  0.0250927546  0.0297628288  0.0160272183 -3.027251e-02
## stat209   0.0942913254  0.0085165374  0.0494167649  0.0509958277  0.0763846543  0.0522167731 -1.134949e-02
## stat210  -0.0182312408 -0.0007999918  0.1501184669  0.0232226996  0.1628524023 -0.0074496193 -1.082211e-02
## stat211  -0.0088928631 -0.0669176397  0.0365675274  0.0047997802 -0.0219183341 -0.0244553480 -5.445463e-02
## stat212   0.0415649634 -0.0136443575 -0.0041459547 -0.1006855963 -0.0996207381  0.0502943046 -5.813209e-02
## stat213  -0.0124728060  0.0464482339  0.0417682815 -0.0592915364  0.0364590552 -0.0229195055 -3.563470e-02
## stat214  -0.0331941758  0.0154101593  0.0798237096  0.0715417739  0.1549353461  0.0328828398 -3.970044e-02
## stat215  -0.0519149834 -0.0006939244 -0.0271182117 -0.0126698584 -0.0797490587 -0.0064469283 -3.693085e-02
## stat216   0.1138775899 -0.0585077257  0.1515330593  0.0856654966 -0.0525110116  0.0573106868  4.999557e-02
## stat217   0.0075940804 -0.0493558218 -0.0260914108  0.0505232674 -0.1110969304  0.0226684166  4.795400e-02
## x18.sqrt -0.0533233108  0.0332931126  0.0987140343 -0.0125710370  0.0076230761 -0.1113077213  1.366946e-01
##                   PC77         PC78          PC79          PC80          PC81          PC82          PC83          PC84
## x1       -0.1595840367 -0.064925149 -0.0977877493  0.0107405891  0.0480913911  0.0175236017 -0.0478547715 -0.0322959684
## x2        0.1090280457 -0.080612738  0.0623799058 -0.1083742709 -0.0895762577 -0.0576124806  0.0328275505 -0.0983213955
## x3       -0.0132992781  0.049481115  0.0256766256 -0.0267060415  0.0851021474  0.0059599699 -0.0099300837 -0.0483152201
## x4       -0.0128607724 -0.080927000 -0.0511258489  0.0647361652 -0.0962475845  0.0916273905 -0.0099592751 -0.0664341179
## x5       -0.1331292316  0.041275859 -0.0277333401  0.1120725959  0.0034828732  0.0682464832  0.0799721438 -0.0934393192
## x6       -0.1148955156 -0.025098553 -0.0392834638  0.0200413449 -0.0398825361  0.0038315939  0.0245041372 -0.0043127932
## x7        0.0928881667 -0.030578684 -0.0059724980 -0.0093673975  0.0434053275 -0.0201708462  0.0209076562 -0.0380138932
## x8        0.0625922325 -0.038043166 -0.0170040730  0.0142921000  0.0979764636  0.1282508925  0.0883538047 -0.0392127372
## x9       -0.0536121770 -0.078272826 -0.0778540071 -0.0055851122 -0.0288901288 -0.0550580585  0.0434685483 -0.0834066170
## x10      -0.0428101840 -0.068615054 -0.0269022221  0.0164451940  0.0805396605  0.0206566166 -0.1424259000 -0.0443341909
## x11       0.0509265004 -0.060252968  0.0022480701 -0.0265649139 -0.0562057517  0.0454666737 -0.1132348496  0.0334567048
## x12      -0.0138588024  0.018313273  0.1292171455 -0.0297032889 -0.0489525322 -0.0269842386  0.0132328909  0.1082789940
## x13      -0.0279998237  0.067203248  0.0163645176  0.0425738559 -0.0435912816  0.1232723129  0.0331242235  0.0246272247
## x14      -0.0608563114  0.049662630 -0.0345076792 -0.0831801310  0.0011363006 -0.1042149626  0.0002932876 -0.0091493123
## x15       0.1376345262  0.010970720  0.1207886633 -0.1639671371  0.0003743462 -0.1155175655 -0.0078837095 -0.0751809921
## x16       0.0349423350 -0.015032170  0.0079775019 -0.0032752864  0.0263524887  0.0791644329 -0.0911913899  0.0495025330
## x17       0.0215105590  0.093020035  0.0969275931  0.0648146250 -0.0008067733  0.0520424953 -0.1436804874 -0.1110481771
## x19      -0.0420340081  0.096267096 -0.0240295923  0.0566225994 -0.0633231851  0.0603978367  0.1107451130  0.0334633100
## x20      -0.0042985607 -0.035155749 -0.0258256061 -0.0456612280  0.0037885001 -0.0345012690  0.0615618843 -0.0432980492
## x21      -0.0211857681  0.046665013 -0.0365592260  0.0813369707 -0.0465898547 -0.1039450049 -0.0280268417  0.0989300280
## x22      -0.0890632617 -0.015921779  0.0044332312  0.1245387288 -0.0720369748  0.0314886120  0.0547429912 -0.0170066227
## x23      -0.0067945189 -0.032405517  0.0003322926 -0.0444747511 -0.0718046356 -0.0545268506 -0.0069165458  0.0381983229
## stat1     0.0495657628 -0.011694021  0.0612519390  0.0845699854  0.0508361958 -0.1339196115 -0.0068959744  0.0246698384
## stat2     0.0771220116 -0.098167054  0.1030332863  0.0010841275 -0.0477228413  0.0615397411 -0.1280217861  0.0305822920
## stat3     0.0808782378 -0.105943997 -0.1508276154  0.0088297500 -0.0002021804 -0.0189764197 -0.0143929634 -0.0022190969
## stat4     0.0233615897 -0.095428266  0.0166154263  0.0899925425  0.0140953724  0.0174540076  0.0703832662  0.0086251521
## stat5    -0.0019267363 -0.081889736  0.0042281768 -0.0422133760  0.0158442060 -0.0453702321 -0.0050552031 -0.0583171274
## stat6     0.0859263921 -0.102600684  0.0545687678  0.1014796474  0.0218652072 -0.0750764577 -0.0275940499 -0.0342152198
## stat7    -0.1029316580 -0.018542843  0.0726891058 -0.0982869664  0.0216213344 -0.1266753005  0.0660497291 -0.0147280261
## stat8     0.0534157451  0.025279499  0.0118535296 -0.0589814650  0.0163587361  0.0026681734  0.0418911203  0.0156288425
## stat9    -0.0808010204  0.019513371  0.0037148954  0.0416645913 -0.1112043150 -0.0547260952 -0.0304804415 -0.0064546919
## stat10    0.0155939267 -0.161146538  0.0046268302  0.0772705048 -0.1210082290  0.0192335583 -0.0611553732 -0.0243176447
## stat11   -0.0207300874  0.065613210 -0.0528968025 -0.1808879526  0.0776750412 -0.0668245889 -0.0458885025  0.1289564428
## stat12    0.0341625333  0.037204705  0.0736454527 -0.0092979215 -0.0420060038 -0.0561397727 -0.0130479010 -0.0556434103
## stat13   -0.0515504231  0.115191451 -0.0136012193  0.0148425104  0.0740844193 -0.1101490043 -0.1367015860  0.1209841274
## stat14   -0.1017686603  0.038884251 -0.0137660192  0.0077341586 -0.0317862823  0.1127118302  0.1189288351  0.1203353914
## stat15   -0.1603378075 -0.001509428  0.0319039149 -0.1390260926 -0.0285124784  0.0425927028 -0.0103239475 -0.0594692984
## stat16    0.1038365696  0.152547453 -0.1089401700 -0.1070779705 -0.1161968264  0.0130542013 -0.0473783589 -0.1357955057
## stat17   -0.0807604129  0.014663682  0.1604702477  0.1269029993 -0.0747357698  0.0072987175 -0.0035547017 -0.0289140935
## stat18   -0.1130838134 -0.106245976 -0.0682932398 -0.0047528762 -0.0942095588  0.0615972374  0.0046407201 -0.0778813087
## stat19   -0.0876521885 -0.016166412 -0.1177475960 -0.0828164793 -0.0306776558  0.0274308577 -0.0144206497 -0.1634630576
## stat20    0.0013497725  0.013528973  0.0931279700 -0.0869604439 -0.0275851061  0.1081084841  0.0808424846  0.0312771336
## stat21    0.0604418640 -0.027119161  0.0158641145  0.0899079047 -0.0076486670  0.0022289136  0.0453975593  0.0661531603
## stat22   -0.0381453810 -0.162562517  0.0522329156 -0.0864981771 -0.2088968767 -0.0683618719 -0.0475315060  0.0552007794
## stat23   -0.0855282422 -0.009562818 -0.0415840112  0.0576022104 -0.0611999397 -0.0193837569 -0.0724187869 -0.0026050831
## stat24   -0.0506100827  0.033973399  0.0222377879  0.0140367186  0.1376594825  0.1117956560 -0.0203464796  0.0069288830
## stat25   -0.0605918231  0.068304511 -0.0121403149 -0.0162979934  0.0375311555 -0.0208129325  0.0617452356 -0.0438861776
## stat26    0.0422232863 -0.031210650 -0.0286787149  0.0088735078 -0.0816942721 -0.0258069452  0.1411599738 -0.0355567826
## stat27    0.0230885451 -0.056104054 -0.0375382803 -0.0494857792 -0.1062299856  0.0883203076  0.0029273668  0.0278356454
## stat28   -0.0596605982  0.063038658 -0.1017991846  0.0711975057  0.0412628429 -0.0199524726  0.0752262615  0.0540930500
## stat29   -0.0106773100  0.052067623  0.0194422402 -0.0230993363 -0.0424014932  0.0230875334  0.1084979968 -0.1062749643
## stat30   -0.0335060323  0.054006180 -0.0559665847 -0.0574491778  0.0287140822 -0.0469611895 -0.0280646266  0.0142387476
## stat31    0.0204488754 -0.025820960  0.0192143335 -0.0684774295 -0.0732646925 -0.1175043048 -0.0318773423  0.0348832988
## stat32   -0.0576125856 -0.076938894 -0.0475982755  0.0224341580 -0.0455913029  0.0544926873  0.0656685469  0.0848029223
## stat33   -0.0278343921  0.047829904  0.0315383675  0.0364326118  0.0034767609 -0.0138187555  0.1196898067  0.0396914146
## stat34   -0.0121592004 -0.073921994 -0.0824322326 -0.0653182245  0.0928449029  0.0211732392  0.0013010949  0.0723815614
## stat35    0.0848792932  0.020613123  0.0259659265  0.0809322012  0.0239521106 -0.0906447381  0.0538509357  0.0354458980
## stat36   -0.0767208973 -0.031456918  0.0265492171  0.0258961135 -0.0425436635  0.0838140152 -0.0010499420  0.1704014994
## stat37   -0.0199659503  0.086827770  0.0460187098  0.0072569097  0.0021381599 -0.0656617299 -0.0374599947 -0.0462558825
## stat38    0.0085561136  0.118443857  0.1030487760  0.0613231798  0.0085474481 -0.1367508231  0.0840332894 -0.0486738943
## stat39    0.0431116389 -0.086790392 -0.1018098226  0.0857611820  0.0005140778 -0.0192435067  0.0208928030  0.0717614615
## stat40   -0.0605355276 -0.077865209  0.0126853281 -0.0758371180 -0.0175344690  0.0678337995  0.0583284663 -0.0131461983
## stat41   -0.0084020434 -0.023186238 -0.0328617059  0.0574995680  0.0627758731 -0.0803280543 -0.0105936324 -0.0344892622
## stat42   -0.0833285591  0.091882105 -0.1025769289 -0.0135369647 -0.0249036998  0.0622539563 -0.0634622650 -0.0336831638
## stat43   -0.0612110534  0.040676667 -0.0427936293  0.0659028666 -0.1440013203 -0.0317724418  0.0841053386 -0.0039380966
## stat44    0.0777829327  0.089570635 -0.0154311081  0.0114452635  0.0113795847  0.1161936054 -0.0594851101 -0.0243523047
## stat45   -0.0588655630  0.081638406 -0.0824421400  0.0546191695  0.0171227875  0.1406616760 -0.0526344139 -0.0616452080
## stat46    0.0253682585  0.011915776  0.0561222374  0.0241544327  0.0730914794 -0.0324133505  0.0883543290 -0.0024313495
## stat47    0.0386664873 -0.036317015 -0.1062468332 -0.0171153285 -0.0239994048 -0.0334571835  0.0507812887  0.0170889516
## stat48    0.0450596729 -0.047936015  0.0627351655  0.0184709031 -0.0338992073  0.0967799929 -0.0207514747  0.0353089245
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## stat177  -0.0434831308 -0.041988457  0.1510513945 -0.0354673836 -0.0975897055  0.1098082966 -0.0246610699 -0.0109013283
## stat178  -0.0584258669  0.051277155 -0.0759308177 -0.0382181643 -0.0191753497 -0.0095496755  0.0012309946 -0.0488908604
## stat179  -0.0890439425  0.137574115 -0.0511714032  0.0210013202 -0.0543066806  0.0174617906  0.0093262332  0.0509075065
## stat180   0.0616701752 -0.221975280  0.0371478136  0.0535259566 -0.0572800881  0.0532455204 -0.1254300215 -0.0337361128
## stat181  -0.0077326372  0.005769135  0.0430323021  0.0538044546 -0.0501274565 -0.0000161170  0.0833670493  0.0720360578
## stat182   0.1237791862  0.048480375 -0.0430461135  0.0576924506 -0.0148320170  0.0614798725  0.0087848334 -0.0361451613
## stat183   0.0242974569  0.065040104  0.0372264569  0.0864480744 -0.0805649042 -0.0176340939 -0.0253014065 -0.0977142138
## stat184   0.0147947812  0.023286855 -0.0384503738 -0.0164733191  0.0314841105  0.0018095778 -0.0201640622 -0.0056975736
## stat185   0.0121391909  0.067370795  0.0072571605  0.0905089118 -0.0859001653 -0.0561477018 -0.0072872448  0.0291998457
## stat186  -0.0001130331  0.063935249  0.0237775224  0.0810135442 -0.0442876003  0.0002794893  0.0645284932 -0.0296552400
## stat187  -0.0299481592  0.082487804  0.0267881081 -0.0754669018  0.0010999268  0.0093842214  0.0696262860  0.0139167274
## stat188  -0.0152214097 -0.001602830 -0.0227160586  0.1013237670  0.1046405719 -0.0499086492  0.0232114118  0.0590294823
## stat189   0.0525484014 -0.066506235 -0.0571845966 -0.0617721903  0.0163885567 -0.0031954664 -0.0230149273 -0.0945613023
## stat190  -0.0691690018 -0.111091364 -0.0435384699  0.0559864072  0.0317923844  0.0122334056  0.0664592441  0.1661119982
## stat191  -0.0084628185 -0.082004847  0.0753493173 -0.0458877895 -0.1054342517 -0.0719655908  0.0334367870  0.0753152373
## stat192   0.0190144171 -0.057726929 -0.0362462380  0.0689481314 -0.0465188718 -0.0166906097  0.0181998617 -0.1174004920
## stat193   0.0775762645 -0.013590998 -0.0457320437 -0.0203642201 -0.0555360437 -0.0108145860  0.1238168210 -0.0622461486
## stat194   0.0860144521 -0.058032495 -0.0539400311 -0.0371079731 -0.0525005317 -0.0282149271 -0.0670810524  0.0541566186
## stat195   0.1225406391 -0.043120527  0.0201325465 -0.0227893836 -0.0188381870  0.0247032406  0.0855213942  0.0734236310
## stat196  -0.1096243182 -0.043703357  0.0566131891  0.1164671889  0.0249241504 -0.0562551455 -0.0843537140 -0.0207222966
## stat197   0.0030548956 -0.031727779  0.0556353052 -0.0264234407 -0.1301660799  0.1054415795  0.0636427694 -0.0207296235
## stat198  -0.0389876445 -0.060593661 -0.0230491097  0.0165458040  0.1022439491 -0.0195924511  0.0909938748 -0.0482690284
## stat199   0.0099817813  0.102766134  0.1036444934  0.0990447036 -0.0533452074  0.0210212276  0.0021949900 -0.0060625841
## stat200  -0.1573714715 -0.122166615 -0.0439229394 -0.0622199071 -0.0391497256 -0.0056742185 -0.0163306964 -0.0379366718
## stat201   0.0755140867 -0.027715487 -0.0513319504  0.0403769966  0.0165473720 -0.0118505825 -0.0097884416  0.0297839787
## stat202  -0.1112771509 -0.022847097 -0.0599042072  0.0511351006 -0.0711711124  0.0520543956 -0.0124824975  0.0405532488
## stat203  -0.1281450825 -0.011484328 -0.0435710387  0.0377236766  0.0530528680 -0.0512317784 -0.0601438878  0.0330076302
## stat204   0.0730701329 -0.075102017  0.0478467582  0.1332970770  0.0439667467 -0.0210093424  0.0207706337 -0.0670562344
## stat205   0.0003534019 -0.004776124 -0.0452245813  0.0756227721 -0.0476814530 -0.0910769931 -0.0673624838  0.0297593557
## stat206   0.0065844060  0.008494561 -0.0629431626 -0.0156161275  0.0735836654 -0.0125135419 -0.0456389052  0.0532768380
## stat207   0.0467665517  0.017671860  0.1217108638  0.0643957323 -0.0812519767 -0.0394837187 -0.1146180396 -0.0200818091
## stat208   0.0073900163  0.090906844 -0.0066187285  0.0501012935 -0.0759933188  0.0196382195  0.0838500652  0.0342792281
## stat209   0.0177628342  0.056356494 -0.0479531360  0.0480420024  0.0708442966 -0.0552139024 -0.0636349559 -0.0890220354
## stat210   0.0032138959  0.012787754 -0.0235642234  0.1300271904  0.0148766034  0.0169232578 -0.0200388241  0.0143841771
## stat211   0.0711473433 -0.014521673  0.0178760472 -0.0701111622  0.0022877395 -0.0249684656  0.0254089494  0.0422206417
## stat212   0.0660636193  0.039025518 -0.0610837269  0.1113041981  0.0443789956  0.0471762710  0.0403570684  0.0245462899
## stat213   0.0294208437 -0.120778895 -0.0370215315 -0.0223009878  0.0945798586 -0.0004687253  0.0275196562 -0.0047392247
## stat214  -0.0920956483  0.007843273  0.1323939665  0.0428115228 -0.0767360639 -0.1010039497 -0.0143322771  0.0821731569
## stat215  -0.1279706871 -0.040613049  0.0103893312  0.0676164762  0.0444737820  0.0181093720 -0.1082910323  0.0347885180
## stat216  -0.0898240143 -0.076755888 -0.0116398004 -0.0473517073  0.0450865964  0.0003247404  0.0516596087 -0.1197900841
## stat217  -0.0910010052  0.033419525  0.1115082486 -0.0171424774  0.1120788594 -0.0105846963 -0.0585012801 -0.0063386079
## x18.sqrt  0.0805296088 -0.018239696  0.0811232616 -0.0296474940 -0.0242689373  0.0646106312  0.0737536261  0.0438766607
##                   PC85          PC86          PC87          PC88          PC89          PC90          PC91
## x1       -0.0145916249  0.0016412887  0.0358621755  2.398885e-02 -0.0395179163 -0.0389240981 -1.688126e-02
## x2        0.0127864778  0.1040440468  0.0390410027  5.282146e-02  0.0066283626 -0.0497084604 -1.329108e-01
## x3       -0.0022756989 -0.0400230324 -0.0011580001  2.218984e-02 -0.0120315475  0.0180861004  1.917091e-02
## x4        0.1252977457  0.0794210055 -0.0011200473 -6.470452e-02 -0.0761821159  0.0896938491 -7.037175e-02
## x5        0.0382578859 -0.0695764691  0.0689225046 -9.051292e-02  0.0481221850 -0.0763623626  6.170337e-02
## x6        0.0141486509  0.0522080859  0.0532501012 -8.601437e-02  0.0811320524  0.0548589042 -1.767211e-02
## x7        0.0190141501  0.0146056928  0.0385922101  8.189293e-02 -0.0108767124  0.0749869342 -8.221970e-03
## x8       -0.1001225012 -0.0167278712  0.0069211980  5.518953e-03 -0.0133107227  0.0183148193  5.124386e-02
## x9        0.0368055053 -0.1470889771 -0.1163284821 -1.088009e-03  0.0120644334  0.0916028132  1.163347e-01
## x10       0.0937276409  0.0516183466 -0.0943613294  4.829528e-02 -0.0129880807 -0.0809893465  8.310617e-02
## x11       0.0830005104  0.0098016166  0.0501961189 -6.291862e-03 -0.0724476898 -0.0856040762  9.036546e-02
## x12       0.0393837429  0.0086711979  0.0991049339 -8.928136e-02 -0.0363015730  0.0132381481 -4.311981e-02
## x13       0.0295793949 -0.0595504305  0.0157634247  1.022128e-02  0.0764916321  0.1379000562  1.310497e-03
## x14       0.0370277589 -0.0952277730 -0.0209290163  4.068008e-02  0.1403081677  0.0021856198  5.819501e-02
## x15      -0.0561052665 -0.0645768377 -0.0535090336 -1.047008e-01  0.1380268940 -0.0355871752 -2.197603e-02
## x16       0.0429355356 -0.0516059307 -0.0112772950  5.296155e-02 -0.0433936142  0.0051538368  7.130211e-02
## x17      -0.1095624039  0.0859984302 -0.0098665991 -2.522237e-03 -0.0385681803  0.0413546401  5.431960e-02
## x19      -0.1020098356  0.0995635214  0.1670233475 -7.834152e-02 -0.0125252806 -0.1417235433 -2.608516e-02
## x20       0.0228449512  0.0812007028  0.0088141547  7.179982e-02  0.1796611749  0.0286464560 -5.185820e-02
## x21       0.0468147034 -0.0581135093  0.0711362800  1.807570e-02  0.0995388316  0.0546770917 -5.522083e-02
## x22      -0.0011905907  0.0910250564 -0.0355804020 -6.506596e-02 -0.0608218437  0.1436052831 -1.009462e-01
## x23      -0.0959667650 -0.0616867863 -0.1255824015 -9.823434e-02  0.0816390515 -0.0063241668 -6.730047e-02
## stat1    -0.0012567637  0.1072705562  0.0764115710  1.063721e-01 -0.0017559426  0.0975709825 -4.881710e-02
## stat2    -0.0306143967 -0.0009869764  0.0442314376 -1.064741e-01 -0.0656187338 -0.0315960878 -3.088655e-02
## stat3     0.0599206272 -0.0129703586  0.1153743225 -1.710193e-01 -0.0946313060  0.0700269386  1.373512e-01
## stat4     0.0735074513  0.0393373697  0.0226093089  8.602973e-02 -0.0970640598 -0.1072135274 -7.101359e-03
## stat5    -0.0023067425  0.0113560452 -0.0875839786  2.051669e-02 -0.0099127411 -0.0238402038 -1.106029e-01
## stat6    -0.0272362740 -0.0693089627 -0.0103511803 -3.360295e-02 -0.0349810842  0.0703994183  1.672910e-01
## stat7     0.0185962800 -0.2102612366 -0.0145122468  1.484295e-01 -0.0892764068  0.0155930619 -1.005596e-01
## stat8     0.0057280142 -0.0089690134  0.0211293340  6.067130e-02  0.0192974584  0.0341581511 -2.331671e-02
## stat9    -0.0158445014 -0.0550398187 -0.0018885299 -5.063360e-02  0.0679427620  0.0517427902  2.187602e-03
## stat10   -0.0180366407 -0.0070817278  0.0746150417 -5.806248e-02  0.0230433880  0.0285948940  6.605955e-02
## stat11    0.0153065915  0.0238634063 -0.0485243346 -4.158394e-02 -0.0304303030  0.0468336512 -1.323394e-02
## stat12   -0.0797186132 -0.1586788351  0.0028217478  1.034755e-01  0.0423839505  0.1152859848 -9.353632e-02
## stat13   -0.0673105820  0.1216874552 -0.0788916533 -6.089307e-02  0.0859986119  0.0560820453  2.717435e-02
## stat14    0.0675325163 -0.0146039799 -0.1301185632 -4.493840e-02  0.0138630391 -0.0354092611 -1.387092e-02
## stat15    0.0019487348 -0.0214803813 -0.0363659488  3.939928e-02 -0.0484135643  0.0297947209  8.813995e-02
## stat16   -0.0352982948  0.0165037155 -0.0055914266  4.193276e-02 -0.0135257384  0.0677555617  3.903470e-02
## stat17    0.0167760539 -0.0135836018  0.0192756264 -2.484868e-02 -0.0512292527  0.0908531806 -3.550551e-02
## stat18    0.1038137182  0.0354644537 -0.0106028907  1.563512e-02  0.0645619124  0.0393622136 -8.925163e-02
## stat19   -0.1136754632 -0.0444581608  0.0634457083 -1.499485e-02  0.0173704681  0.0035159601  4.011585e-02
## stat20   -0.0263313053 -0.0567093036  0.0215001355 -8.374502e-02 -0.0379547197 -0.0857812663  5.321526e-02
## stat21    0.0504946689  0.0461156436 -0.0510072179 -2.302988e-02 -0.0076302154 -0.0053061124 -8.552727e-03
## stat22    0.0852835073  0.1126063690 -0.0834340713  2.419956e-02  0.0741126295 -0.0813891812  5.879680e-02
## stat23    0.0014402303  0.0483183224  0.0663275057 -1.105673e-01 -0.0757547939  0.0661402428  6.313069e-02
## stat24    0.0275298678  0.0370390221 -0.1098937700  3.904641e-02 -0.0304340500  0.0377425856 -5.860810e-02
## stat25   -0.0041668342  0.2035611328 -0.0613342344  2.334332e-03 -0.0451965629  0.1096238890 -3.615991e-02
## stat26    0.0024426179 -0.0182870235  0.0144904550  5.501022e-02  0.0032319751  0.0361267523 -5.167719e-02
## stat27   -0.0104042582  0.0448415374  0.0611012946  3.789336e-02  0.0197555315  0.0136751033  3.391117e-02
## stat28   -0.0052482097 -0.0640241161 -0.0438971769  1.434246e-02 -0.0365196742 -0.0485750020 -7.198806e-02
## stat29    0.0564167309  0.0967538412 -0.0665581495  5.494543e-03  0.0802855556 -0.0045517692  1.167543e-01
## stat30    0.1197127601  0.0356054515 -0.0498614986 -4.361375e-02  0.0447136543  0.1313301700 -8.100544e-02
## stat31   -0.0847350516  0.0985583381  0.0259120755  9.959004e-03  0.0686243895  0.0173003709 -7.235564e-02
## stat32    0.0762825159  0.0744037269  0.0759812314 -2.363009e-03  0.0024437429  0.0743177334  1.101070e-01
## stat33   -0.0641769376 -0.0360448615 -0.0744943860  3.646224e-02  0.0436645879  0.0195687685  7.822431e-02
## stat34    0.0357081505 -0.0231417282  0.0075669555 -5.568516e-02  0.0004841974  0.0789147593  2.417507e-02
## stat35   -0.0031192748 -0.0234363420  0.0600840577 -3.151197e-02  0.0344785480 -0.0995976354  5.701967e-02
## stat36   -0.1701322702 -0.0595576500 -0.0178213171  2.823090e-02 -0.1002030696  0.0237531322  5.630226e-02
## stat37   -0.0506751569 -0.0031960275 -0.0711357084  1.636661e-03  0.0122403994  0.0904185463  4.874597e-02
## stat38   -0.0049223382 -0.0490288429  0.0154028187 -9.830142e-02 -0.0775031839 -0.0203727427 -1.798986e-02
## stat39   -0.0163445700  0.0032960096 -0.0980769315  9.327985e-02  0.0079764066 -0.0798732502 -1.080959e-02
## stat40   -0.0150143914 -0.0266691181 -0.0864833898 -2.015422e-02 -0.0288643722 -0.0184135647 -1.278636e-01
## stat41    0.0268230115 -0.0667018421  0.0046204151  1.006736e-01 -0.1917737001 -0.0722168749  2.408708e-02
## stat42   -0.1906282745  0.0530382863  0.0329008714 -5.292701e-02 -0.0259237270 -0.1025854743  2.866926e-03
## stat43   -0.0200768640  0.0736933081  0.1411175884  8.947153e-02 -0.0487287843  0.1274986833  1.914696e-02
## stat44    0.0070426831  0.0021053719 -0.0050855704 -3.645432e-02  0.2071006852 -0.0911451034 -5.709679e-02
## stat45    0.0213902660  0.0256852481 -0.1181434253  4.009588e-02 -0.0183608902  0.0344079058 -7.274716e-02
## stat46    0.0886383801 -0.0055447263 -0.0646298269 -1.047660e-01  0.0015454624  0.1046766664  6.199766e-02
## stat47    0.1388863787  0.0512805537  0.0706051201  8.267942e-02 -0.0015848010  0.0704692599 -1.064883e-01
## stat48   -0.0202339459  0.0045244166  0.0265435975 -2.359683e-02  0.0252067450  0.1460345156 -7.931821e-02
## stat49    0.0816689613  0.0185730529 -0.0818649912 -4.012902e-02 -0.0611401984  0.0596930139  1.171490e-01
## stat50   -0.0733127822 -0.0340647224 -0.0722613071 -1.901480e-02  0.0794728692 -0.0807639472  5.347094e-02
## stat51   -0.0180455431  0.0392806505 -0.0089956186 -4.343897e-02 -0.0854032515 -0.0464316715 -1.204483e-01
## stat52   -0.0107055679 -0.0125903821  0.0558955328 -1.524440e-01  0.0331474340  0.0057189567 -1.080386e-02
## stat53   -0.0605146308 -0.0124854963 -0.0341065403 -7.705852e-02 -0.0136235915  0.0527927650  8.539528e-03
## stat54    0.0135281125 -0.0150162291 -0.0307273523  1.422140e-02 -0.0396714423  0.0290175245  1.577958e-01
## stat55   -0.1134327618 -0.0841796183  0.0769236068 -3.804286e-03 -0.0251231041  0.0075565856 -5.215290e-02
## stat56    0.0807539674 -0.0443585287  0.1472071598 -6.397666e-02  0.0301015383  0.0247486490 -5.008082e-02
## stat57    0.0272134700  0.0805774651 -0.1031084198 -1.731202e-03 -0.0061259185  0.0126919430  1.250920e-01
## stat58    0.0564980352 -0.0950661185  0.0486594877  1.331799e-02  0.0042877247  0.0839020136  6.775421e-02
## stat59    0.0912374965 -0.0936999098  0.0557781545  8.732749e-02  0.0594125096  0.0765818703  6.528483e-02
## stat60    0.0983240247 -0.0454765981 -0.1406814089 -7.218029e-02 -0.0120116779  0.0536712703 -3.658049e-03
## stat61    0.0380903301  0.0801951380 -0.0049698969 -1.145504e-01 -0.1149819969  0.0528526614 -5.493741e-02
## stat62   -0.0865164164  0.0429066271 -0.0234947020 -8.786245e-02  0.0027994579  0.1326034720 -1.107819e-01
## stat63   -0.0487578462  0.0588407183 -0.0540767405 -9.372045e-03  0.1123934184  0.0296413026 -3.491300e-02
## stat64   -0.0423118830 -0.0298409402  0.0657197661  8.825166e-02 -0.0392544577  0.1532740457 -6.437810e-02
## stat65   -0.0356967730 -0.0713474886  0.0157027306  5.086652e-03 -0.0615162026  0.1033323375  2.963555e-03
## stat66   -0.0856432799  0.0656365914 -0.0422617050 -6.842052e-04  0.0430184452 -0.1051846644 -1.428360e-02
## stat67   -0.0205000902  0.0811860402 -0.0168232038  1.238023e-01 -0.0417922687 -0.0854879330 -2.759524e-02
## stat68    0.0489925417  0.1357313422 -0.1231545279 -8.224353e-02 -0.0488147242 -0.1037506144  7.385678e-02
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## stat208   0.0041778424 -0.0309485716  0.0404895495  3.727407e-02 -0.0669171826  0.0044705002 -1.637804e-02
## stat209   0.0138137687 -0.0901788215  0.0008697973 -9.207305e-03  0.0901215471 -0.0032885553 -1.151562e-02
## stat210  -0.0075672481  0.0292175392  0.0498147037  4.404576e-02  0.0099387089  0.0588934049  8.521320e-02
## stat211   0.1209591745  0.0426638851 -0.0058866692  1.844646e-02  0.0150185715 -0.0613316525 -2.090997e-02
## stat212  -0.0320971736 -0.0037285635 -0.0159861007  9.110438e-02  0.0022531522  0.1232966067 -2.656825e-02
## stat213  -0.0278352716 -0.0014772170 -0.0429868845  7.478777e-02  0.0214108277  0.0118562140  2.212437e-02
## stat214  -0.0393268807  0.0069849181  0.0343823828  2.775281e-02  0.0920142022  0.0226742828  4.416489e-02
## stat215  -0.0319951496 -0.0094542330 -0.1117509271 -1.205309e-01 -0.0424451224 -0.0838397623  2.295049e-02
## stat216  -0.0348430777  0.0764435651  0.0003771866  7.533855e-02 -0.0590093063  0.0141338222  3.505586e-02
## stat217  -0.0239255574  0.1774721679  0.0709529243  8.516139e-02  0.0062465503  0.0352612242  5.492441e-02
## x18.sqrt -0.0579041364 -0.0555512096 -0.1118450650 -1.264984e-01 -0.0333205764 -0.0524621416 -7.109162e-02
##                   PC92          PC93          PC94          PC95          PC96         PC97          PC98          PC99
## x1       -0.0974598673  0.0538832580  0.0925466089 -0.0481940307 -0.0610890021 -0.011172269 -0.0453950389  1.502692e-01
## x2       -0.0111818984 -0.0346052532  0.0857077583 -0.0054118416 -0.0114777422  0.019894616 -0.0863289180  4.749404e-02
## x3        0.0706703430 -0.1180379930 -0.0681489460 -0.0085120288 -0.0130529172 -0.033370578  0.0104735812 -5.820996e-02
## x4        0.0090867541  0.0527134849 -0.0437612480 -0.1387642178 -0.0003991423  0.107775803 -0.0002144725 -2.166273e-02
## x5        0.0055494261  0.0362500020  0.0769669617  0.0005207016  0.0133193248 -0.073292545 -0.0185887204 -3.884990e-02
## x6        0.0565958621 -0.0146296132 -0.0719317746  0.0499032206  0.0401911106 -0.004252599 -0.0565295997  2.969375e-03
## x7        0.0054932252  0.1049680212  0.0471423167 -0.0044501332  0.0376319993  0.011613052 -0.0337504595 -1.250187e-01
## x8       -0.0612886931  0.0859018383  0.0876635452  0.0429968944 -0.0201866342  0.035561876 -0.0621287711  1.082812e-01
## x9       -0.0022709852 -0.0101326300  0.0981333232 -0.0814568010  0.1789189320 -0.094966814 -0.0603022481  1.044370e-02
## x10      -0.1469368684 -0.1200016427  0.0212513000 -0.0416687078  0.0715618052 -0.054233456  0.0026959078  2.115071e-02
## x11       0.0542072805 -0.0275547219  0.1247000113 -0.0178286987  0.0895071296 -0.052583641  0.0374306948  1.392700e-01
## x12       0.0358748080 -0.0461922117  0.0884412270  0.1121115289 -0.0599335755  0.035514265  0.0400121912 -2.416963e-03
## x13       0.0421255519 -0.1253818038  0.0326098922  0.0464150347 -0.0489677136  0.075651916 -0.0340831452  4.212419e-02
## x14       0.0234009598 -0.0255180152 -0.0297453370  0.0336170375 -0.0577941333 -0.045740391 -0.0619863694  5.699365e-02
## x15      -0.0196990766 -0.0058941849  0.0180719570 -0.1839005446  0.0473078742  0.047384537 -0.0388437707  8.105164e-02
## x16      -0.0091712532  0.0002130294 -0.0322561994 -0.1487932880 -0.0035987874 -0.017090495  0.0417887570  1.304632e-01
## x17       0.0389945165 -0.0729951976  0.1401008529 -0.0396585132  0.0117971641 -0.054498912 -0.0911179920  2.909032e-02
## x19      -0.1596417334 -0.0412003402 -0.0800855740  0.0471311910  0.0140639219  0.078786093 -0.0275836923  9.395915e-03
## x20       0.0331153406 -0.0160500430 -0.0154781395 -0.0948323529 -0.0245164866 -0.034019394  0.0347963343 -9.297850e-02
## x21       0.0632251312 -0.0455410511  0.0415159605  0.0165492503  0.0451220786 -0.014979729  0.1408966242 -7.013482e-02
## x22      -0.0338244963 -0.0143859070 -0.0215283406 -0.0825476606 -0.0341665133 -0.051555934 -0.0295259799 -3.698086e-02
## x23       0.0337641181  0.0012275349  0.0009991228  0.0424857404 -0.0051887205 -0.004540004 -0.0105981857  2.349116e-02
## stat1    -0.0811511586 -0.0138684780 -0.0533159628 -0.0058566213  0.1655843709  0.071907739  0.0693447361  1.957597e-02
## stat2     0.0060366492  0.0046778221 -0.0435041482  0.0578541862  0.0755120465 -0.013875483  0.0054469918 -2.415913e-02
## stat3     0.0533223375 -0.1602078588  0.0516438649 -0.0543336296 -0.0751465321 -0.089132876 -0.0190973092  2.517969e-04
## stat4    -0.0830743799 -0.0384831645  0.0183070290 -0.0537347864  0.0913658424 -0.035902178 -0.0912976940  1.828275e-02
## stat5    -0.0187947819  0.0432965020  0.0287604263 -0.0856238456  0.0159791255  0.075315398  0.1072079572  4.887808e-02
## stat6    -0.0324030058  0.0110476604  0.0107188014 -0.0614965223 -0.0395048852 -0.018239471 -0.0391721392 -3.978244e-02
## stat7    -0.0400757587  0.0196186369  0.0316601133  0.0028150338  0.0237237910  0.013138234  0.0277106390 -6.565982e-02
## stat8    -0.0868189858  0.0562424868  0.0137678339 -0.0706315569  0.0320167155  0.109535373  0.0187945517 -2.691939e-02
## stat9    -0.1123686964  0.0316225503 -0.0723047190 -0.0308562293 -0.1168038263 -0.011911659 -0.0346370736 -7.555466e-02
## stat10    0.0133504386 -0.1554695574 -0.0222590717  0.0177124739 -0.0031355623  0.120639051  0.1264903899 -1.093132e-02
## stat11    0.0213273576  0.0802410123  0.0395147523 -0.1178324105  0.0103666323  0.050244835 -0.0278490603  1.007457e-05
## stat12    0.0016657085 -0.0624702673 -0.0194923702  0.0925331982 -0.1225239023  0.065915414 -0.0167296180 -5.686196e-04
## stat13    0.0546222685  0.0164496678  0.1251922971  0.0286046300  0.0261350647 -0.054613333 -0.0148574059 -4.134173e-02
## stat14    0.0386545752  0.1037912864  0.0076802552 -0.1134910845  0.0488116361 -0.011708099  0.0097761108  5.690940e-02
## stat15    0.0198984363  0.0354517190 -0.0058883586 -0.0007185324 -0.0305223180  0.044821459 -0.0306364483  3.154205e-02
## stat16    0.0641526047  0.0100694497 -0.0726731655  0.0759627785 -0.1025491939 -0.028427474  0.1305669321 -6.056860e-02
## stat17   -0.0052259944  0.0272119917 -0.0566873444 -0.0400807456 -0.0139779544 -0.082845058 -0.0616455876  9.647216e-02
## stat18    0.0685591770  0.0907471693  0.0753171987  0.0531380413 -0.0180626578  0.007709595 -0.0949884435 -1.402704e-02
## stat19   -0.0266362827  0.0327466572  0.0857917777 -0.0450315292 -0.0950284261 -0.004244198 -0.0224714765 -1.078808e-02
## stat20   -0.0216981145 -0.0002474967 -0.0295425866 -0.0058822817 -0.0008893466  0.021830016 -0.0313128735  1.040417e-02
## stat21   -0.0512051173  0.0106962624  0.0159553251 -0.0496692052 -0.1163943609  0.006414884 -0.0884656751  2.254397e-02
## stat22   -0.0131779688  0.0224469071 -0.0150465348  0.0597373758 -0.0533718391  0.075029447  0.0021981394  7.987486e-02
## stat23    0.0159258297  0.0343903249  0.0945828603  0.0061211129  0.0246544079  0.047615666 -0.0538913297  6.515180e-02
## stat24    0.0314703097 -0.0670246558  0.0181248809  0.0143069210  0.0100728969 -0.013682999 -0.0098114330 -1.882700e-03
## stat25   -0.0377576211 -0.0765256831  0.1350741007  0.0053781293  0.0872582207  0.004975314 -0.0127169710  2.059103e-02
## stat26   -0.0203776270 -0.0376127970 -0.0062563932 -0.0063804950 -0.0820530675 -0.045458504  0.0380231839  1.528060e-01
## stat27    0.0144927811  0.1335201971  0.0334884596  0.0093340751 -0.0326829476  0.003923832 -0.1045133093  1.102691e-01
## stat28    0.0819302694 -0.0666379758  0.0316473895  0.0051878338 -0.0290371137  0.304044541  0.0296393639  8.799379e-03
## stat29   -0.1111972111  0.0210667466 -0.0344445138 -0.0513650539 -0.0414318177 -0.005172558 -0.0302941446  3.202933e-03
## stat30   -0.0582287152 -0.0737298873 -0.1156318095 -0.0002562760 -0.0219305520 -0.051415634  0.0613557749 -1.255890e-02
## stat31   -0.1025182863  0.0018585695  0.0476327311  0.0285654663  0.0757685632  0.033263906  0.1175332465  3.315008e-03
## stat32   -0.0229398231 -0.0158078104  0.0354909222  0.0378678236  0.0204048632  0.067436228 -0.0942232776 -3.618575e-02
## stat33   -0.0199580025  0.2158698404 -0.0381353279 -0.0773139982 -0.1293697899  0.016089397 -0.1258612509 -1.026548e-02
## stat34   -0.0397414421  0.0179373177  0.0830831282  0.0062035731  0.0355284975  0.156413664 -0.0592809076  4.207500e-02
## stat35   -0.0303992933  0.1654858514 -0.0972959836  0.0240248368  0.0156572985 -0.087305802 -0.0233605880 -7.898858e-02
## stat36   -0.0308506603 -0.0441183417  0.0122110899 -0.0369180537  0.0232522043 -0.037471906  0.0122144534 -5.336942e-02
## stat37   -0.0731106723  0.0267968216  0.0193413108 -0.0674533720 -0.0266265892  0.003590099  0.0140346118 -1.547611e-02
## stat38   -0.0622793617 -0.1854744033  0.0084577969 -0.0199445304  0.0349679708 -0.058107733  0.0274150255 -1.140140e-02
## stat39    0.0991871598 -0.0174713538  0.0756628870 -0.1356385690 -0.1081046609  0.125741576 -0.0506568181  1.198434e-03
## stat40   -0.0038266005 -0.0465884457  0.0236942095 -0.0256605659 -0.0276394354 -0.025602411 -0.0438902379  2.916407e-02
## stat41    0.0566888176 -0.0237047926 -0.0327637938  0.0099724829  0.0135728259  0.006513427 -0.0247264136 -2.009667e-02
## stat42   -0.0096061727 -0.0015310489  0.0378723648  0.0349343676 -0.1190980945 -0.120588107  0.0105546672 -1.767156e-02
## stat43   -0.1465958595  0.0171370338 -0.0344199619 -0.0118054538  0.0931359617 -0.011911099  0.0124904807  1.795486e-02
## stat44   -0.0202478855  0.0486663935 -0.0519922813 -0.0355251095  0.0436960072 -0.030136695 -0.1796753345 -2.037596e-02
## stat45   -0.0080235936  0.0970456174  0.0078291262  0.0140715526 -0.1424996058  0.043732958 -0.0615222705 -5.968096e-02
## stat46    0.0627294013 -0.0104330495  0.0087883206  0.1089925175 -0.1020775473  0.107370307 -0.0091976698 -1.616281e-02
## stat47   -0.0557364699  0.0024892699  0.0394596626  0.0257972265  0.0062907398 -0.061593554 -0.0998912324  1.479019e-02
## stat48   -0.0595731486  0.0313407709 -0.0764759111  0.1090246978  0.0904090523 -0.055533211 -0.0030639931  1.700997e-02
## stat49   -0.0250470054 -0.0056216079  0.0382452958 -0.0017312124 -0.0222345246 -0.114173479 -0.0353547984 -9.990645e-02
## stat50    0.0450583849  0.0628257864  0.0318762999  0.0456788496 -0.0327092102 -0.032134082  0.0834796299 -7.614885e-02
## stat51   -0.1323116512 -0.0714684622 -0.0168178378 -0.0051580602 -0.0100504091  0.019912429 -0.1351954788  1.923091e-02
## stat52   -0.0877715003  0.0274857660  0.0579760362 -0.1127194931 -0.0147264365  0.048173652 -0.0912715554  4.112562e-02
## stat53   -0.0792963047  0.0851973365 -0.0252347482  0.0079157662  0.0499500859 -0.039758454 -0.1266970376  1.097299e-01
## stat54    0.0008314482 -0.0648414744 -0.0516581954  0.0248015334 -0.0088753397  0.123627112 -0.0839236472 -5.688716e-02
## stat55   -0.0903069395 -0.0476099726 -0.0900270670 -0.0326714557 -0.0504400688  0.015974101  0.0152363837 -1.180763e-02
## stat56   -0.0601046804  0.0328264119  0.0736002166  0.0364430166 -0.1817179106  0.064788104 -0.0211050503 -6.911987e-02
## stat57   -0.0322931632 -0.0980261665 -0.0571528829  0.1328664279 -0.0850651674 -0.026367619  0.0026126672  5.141814e-02
## stat58   -0.0838166395 -0.0168870906 -0.0422736551  0.0373979790  0.0679561570  0.036464817 -0.0511201224  1.603640e-02
## stat59   -0.1260333419 -0.0188760915 -0.0472002646  0.0112516797  0.1010207448 -0.034302971 -0.0496292616 -4.454685e-02
## stat60   -0.0847653443  0.0860281973 -0.1384017505 -0.0166478054  0.0730327885  0.037524743 -0.0397023616 -6.828624e-02
## stat61    0.0281914813 -0.0514653667 -0.0268813800 -0.1022873437 -0.0713231545 -0.100068131 -0.0227466015  6.493453e-02
## stat62    0.1407309242 -0.0215345565 -0.0329862066 -0.0553341808  0.0647541249  0.009200464  0.0127995125 -5.062087e-02
## stat63   -0.0915586121 -0.0460131787 -0.0314408846 -0.1585427878 -0.0121360725  0.124538470  0.0080943324 -9.641644e-02
## stat64   -0.0588932221 -0.0231382326 -0.0072389196 -0.0568677839 -0.0319538279 -0.083401739  0.0065276899 -3.493234e-03
## stat65   -0.0731315867  0.0805268858  0.0171389764 -0.0362937523  0.0142834322  0.114254021  0.0080546844  2.766830e-02
## stat66    0.0672737212  0.0306082149  0.0704467287  0.0873824263  0.0073084699 -0.066027786 -0.0526547589 -8.387063e-02
## stat67    0.0882048317  0.0323874223  0.0206012208 -0.0412422851  0.0606063832 -0.024863881  0.0156709772  2.936046e-02
## stat68   -0.0039860009  0.0548116135  0.0987078823  0.0126048514  0.0701420008  0.002203991  0.0073120416 -9.378011e-03
## stat69   -0.1819114743 -0.0062597757  0.0164490175 -0.0375174215 -0.1024913619  0.038228873 -0.0182129307  1.464179e-01
## stat70    0.0826427638 -0.0262986189 -0.0418514316 -0.0832725629 -0.0532816373  0.075741726  0.0597304956  4.532441e-02
## stat71    0.0885469665 -0.0732059588 -0.0233361779 -0.0039684715  0.0043147327 -0.092142222  0.0673424813  4.243932e-03
## stat72    0.0502318172  0.0506056409 -0.0666487719 -0.0644958122  0.0993487990 -0.001391260 -0.0374682062  4.269375e-02
## stat73    0.0047842892 -0.0186891430 -0.0781670396 -0.0484276305  0.0910823946 -0.130193346  0.0601767238 -1.235530e-02
## stat74    0.0648822714 -0.1589686707 -0.1819614859  0.0384242881  0.0919906778  0.058991082 -0.0366168304  8.388688e-02
## stat75    0.0021392873  0.0001467055  0.0469812461 -0.0616031802  0.0652605682 -0.130668915  0.0216735153 -8.592054e-02
## stat76   -0.1253576910  0.0270560559  0.0712232017  0.1317368121 -0.0535123261 -0.017747799 -0.0791413632 -3.876026e-02
## stat77   -0.0591868999 -0.0104052981 -0.0558660746  0.0260663795 -0.0487363300 -0.102451263 -0.0335216891  1.258698e-01
## stat78    0.0432544193  0.0463257761 -0.0695861892  0.0318922781  0.0171249496 -0.047524482 -0.1133299944 -8.401056e-02
## stat79   -0.0717363435  0.0517066222  0.0393126583 -0.0792767968 -0.0265668510 -0.043777565 -0.0265749235 -5.233630e-02
## stat80    0.1129678325 -0.0657069411  0.0047609118  0.0046704476 -0.0386866933 -0.071530449 -0.1190814523  6.097760e-02
## stat81    0.0461551880 -0.0847674073 -0.0328754764 -0.0125551186 -0.1656003739  0.008733383  0.0194574750  3.858236e-02
## stat82   -0.0280335839 -0.0416937543 -0.0091323396 -0.0209940337 -0.0109990711 -0.061661698 -0.0460818114  3.836567e-02
## stat83    0.0068087996 -0.0233192444  0.0090686262  0.0129762028  0.0318353191 -0.052576574  0.0248983127  1.450574e-02
## stat84    0.0316454263  0.0166198164  0.1479633574  0.0887401286  0.0651209157 -0.086471317  0.0527981805  8.677678e-04
## stat85    0.0823635826  0.0679852854  0.0247828041 -0.0498637991 -0.0034716253  0.041472703  0.0309324251  1.504921e-02
## stat86    0.0952420701 -0.0582422484  0.0529942958  0.0144855255  0.1514922446  0.163675729 -0.0084323769 -1.434021e-01
## stat87   -0.0211349332 -0.0077921719  0.0478589361  0.0688413027 -0.0442027914  0.074157914  0.0607182340  4.395343e-02
## stat88    0.0280251026  0.1849600273 -0.0057466126 -0.0069568798 -0.0876631135 -0.085152936 -0.0335340760 -9.565618e-02
## stat89   -0.0637086593 -0.0246261880 -0.0107540402 -0.0454587050 -0.0172713505  0.024719326 -0.0246319448 -8.111855e-02
## stat90    0.0351805674 -0.0468815489  0.0672137677 -0.0447122598 -0.0205978566 -0.003549456 -0.0528216159  8.667332e-02
## stat91   -0.0333074441 -0.0501545703  0.0064195125  0.0175462897 -0.0922120472 -0.037941300 -0.0236739487  1.066428e-01
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## x18.sqrt -0.0936883226  0.0723675562  0.0173963717 -0.1390713696  0.0412255379 -0.035621773  0.0912904038  4.258449e-02
##                  PC100         PC101        PC102         PC103         PC104         PC105         PC106         PC107
## x1        7.639939e-02  0.0223802379  0.045531960 -8.865558e-02  0.0091028367  1.976814e-02  0.0359388974  0.0542673178
## x2        2.876849e-02 -0.0671974479  0.028093795 -1.129151e-01 -0.0437202256  3.453636e-02 -0.0697694483 -0.0359464648
## x3        2.423854e-02  0.0511184296  0.057535086  4.078421e-03  0.0399699770  1.684829e-02 -0.0275481770  0.0758265239
## x4        6.378663e-02 -0.0647141203  0.011427455  7.604990e-02 -0.0231660970  1.058354e-01  0.0026535085 -0.0110986076
## x5        2.992504e-02 -0.0601123719  0.014944779  2.410651e-02  0.0737327541 -6.935818e-02 -0.1149156296  0.0138212980
## x6        1.135069e-02 -0.0235290662 -0.012640698  3.077235e-02 -0.0361455227 -1.491550e-02  0.0390786907  0.0369014308
## x7       -1.356881e-02 -0.0241532438 -0.069993071 -1.915069e-02  0.0466078769 -2.504479e-02  0.0645771553  0.0106001148
## x8        1.246532e-01  0.0225643115 -0.033378989 -6.789073e-03 -0.0668528248 -5.736239e-03 -0.0585143669  0.0679549633
## x9        2.439635e-02 -0.0382079237  0.053164716 -1.996380e-02  0.0757689729 -1.155304e-01 -0.0339357070  0.0770512841
## x10      -4.967647e-02  0.0775234239 -0.025768921 -3.184891e-02  0.0388815630 -7.125838e-02 -0.0042964105 -0.1698211849
## x11       5.561679e-02 -0.1064010782  0.025578781  7.411555e-02  0.0542059730 -9.352041e-02 -0.0795189187  0.0550355395
## x12       3.112498e-02  0.0844506326 -0.079314440  6.802765e-02 -0.0502174848 -1.344905e-02 -0.0179901709 -0.0648878167
## x13      -1.411037e-02 -0.0264372402  0.047988194 -4.269093e-02  0.0377552425 -9.287931e-02  0.1130277274 -0.1175687941
## x14      -3.577830e-02  0.1069006060  0.011872390  9.187328e-02  0.0331352712  5.290111e-02  0.0880971057  0.0752751538
## x15       7.984888e-02 -0.0843307475 -0.056496348 -3.561696e-02 -0.0678669964  4.435643e-03 -0.0653892036  0.1004593258
## x16      -7.482083e-02  0.0167149106 -0.062332466 -3.951182e-02 -0.1332069884 -7.203001e-03  0.0215761949  0.0215942557
## x17       9.353097e-02 -0.0223263869 -0.027293844  6.555732e-02  0.0645347664  1.070255e-01  0.0682773600 -0.0050116922
## x19       1.826938e-02 -0.0082337497 -0.065740785 -1.350115e-02  0.1056188217 -9.981584e-02  0.0790224663  0.0627275762
## x20       2.418379e-02  0.0787708025  0.039727834  3.752531e-02 -0.0075968009  4.359356e-02 -0.0529101707  0.0397728447
## x21       2.525843e-02  0.0088630665  0.108637109  1.870782e-02 -0.0560818453 -1.497887e-02  0.1352223838 -0.0369832384
## x22      -1.016778e-01  0.0598277941 -0.046950249  2.529457e-02  0.0049156594  1.967811e-02  0.0668186656 -0.1315057393
## x23      -8.642499e-02  0.0295068072 -0.123387590  6.055853e-02  0.0296384154 -4.043733e-04  0.0373405377 -0.0546074051
## stat1    -9.054034e-02  0.0382296406  0.048947729  2.429528e-02  0.0137397438 -5.237466e-02  0.0300042517  0.0211557345
## stat2    -5.250662e-02  0.1627553808  0.059291364  6.471385e-03  0.0154295517  9.870787e-02  0.0054201171 -0.1387892715
## stat3    -3.838046e-03 -0.0959562489  0.043510095 -6.761300e-02 -0.0037396873  1.256362e-02  0.0774527750  0.0224891684
## stat4     1.010303e-02  0.0344843638 -0.015916074  2.844942e-02 -0.0585952972  1.698809e-02  0.0361162844  0.0555087366
## stat5     2.853836e-02 -0.0587405303 -0.110434054  1.197958e-01 -0.0011093989 -1.103521e-02 -0.0336881883 -0.1248535309
## stat6    -1.025576e-01  0.0186658129 -0.046179573  3.494893e-02 -0.0984494123 -4.196939e-02  0.0076850469  0.0575027699
## stat7    -6.519004e-04 -0.0886096151 -0.063808849 -3.658852e-05 -0.0242186539  9.917931e-02  0.0339223575 -0.0949712826
## stat8    -6.053102e-02 -0.0010937720 -0.027187488  1.956745e-04  0.0272875601  2.088116e-02  0.0453723803 -0.0178886237
## stat9    -1.427635e-02 -0.0257851045 -0.148353463 -5.176775e-02  0.0029374497 -1.021791e-01  0.0922997981 -0.0150976703
## stat10   -5.906035e-02 -0.0192396279 -0.088932869  9.899889e-03 -0.1121927975 -1.971435e-02 -0.1415034928 -0.0063225474
## stat11    4.484957e-02 -0.0056556316 -0.071539243 -2.225058e-02  0.1058813089  2.109925e-02  0.0672273079 -0.0107482821
## stat12   -1.556019e-02 -0.0909852642  0.028157516  3.773084e-02  0.0033594873  3.003447e-02  0.1109871648 -0.0138428127
## stat13   -9.181456e-02 -0.0328817745 -0.109865331 -5.451470e-02  0.1803894264 -5.033260e-02 -0.0153651796 -0.0363403736
## stat14   -4.040109e-02  0.0231035520  0.012561906  2.109438e-02  0.0051124669 -2.290919e-02 -0.0244815816 -0.0914766322
## stat15    1.498797e-02  0.0634153327  0.048273318  1.339448e-02  0.0756563141 -8.410270e-02  0.1018978458  0.0080527522
## stat16    3.600299e-02 -0.0038832277 -0.027801943 -1.029069e-01  0.0618244969  5.382895e-02 -0.1474094493  0.0867390077
## stat17    2.145116e-03 -0.0899854201 -0.045185429 -9.886336e-02 -0.0271196395 -1.087504e-02 -0.0335635728  0.0163025090
## stat18    5.878864e-02  0.0034057294 -0.086137877 -2.758669e-02 -0.1341776995 -9.939576e-03 -0.0268609442  0.0398589761
## stat19   -2.188209e-02  0.0107699921 -0.012101303  2.192416e-02 -0.0784608380  3.971862e-03 -0.0513729662 -0.0858888452
## stat20    3.155632e-02  0.0579691510 -0.005231326  2.828612e-02 -0.0011269027 -1.778788e-03 -0.0018256735  0.0396188124
## stat21    1.261602e-02  0.0165793081 -0.056898732  6.528560e-02 -0.1113336981 -2.161922e-02 -0.0440166020 -0.0114514124
## stat22    2.335352e-02  0.0487698785 -0.072252256  4.062126e-02 -0.0257111404  1.016903e-01  0.0162231056 -0.0236459774
## stat23    1.496793e-01  0.0827487237  0.035722583  4.273703e-02  0.0213543845 -2.333537e-02  0.0303190813 -0.1445510924
## stat24    9.302708e-02  0.1178495239 -0.125121920  4.323009e-02  0.0151628264 -2.448915e-02 -0.0581610032 -0.0176493755
## stat25    1.091327e-03 -0.1030966624  0.033154309 -8.589844e-03 -0.1149632991 -6.213760e-03 -0.0360128754  0.0386414788
## stat26   -1.036599e-01 -0.0377385445 -0.040540697 -5.425486e-02  0.1117383188 -1.145648e-02  0.0760914241  0.0094646147
## stat27    3.875005e-02  0.0657489261  0.007853330 -7.196604e-02  0.1948433634  9.369060e-02 -0.1048537436 -0.0439346971
## stat28    3.973318e-02  0.0694990911  0.033333073  2.381746e-02  0.0187290820 -2.732420e-02 -0.0382330832 -0.0609708721
## stat29   -8.731687e-02  0.0738237991  0.017611938 -4.713648e-03  0.0659234515 -6.031595e-02  0.0343039946 -0.0904469018
## stat30    4.984357e-02  0.0141673570  0.036452334 -3.505145e-02  0.0998713179  1.402879e-01 -0.0557223167  0.0296546637
## stat31   -3.404233e-02  0.0624142834 -0.033238466 -9.494305e-02 -0.0011992748 -1.279033e-01  0.0579400912 -0.0278278622
## stat32   -2.184785e-02  0.0323681685 -0.014687274 -5.691486e-03  0.0297280198 -6.088112e-03  0.1020992124  0.1701600275
## stat33   -5.714093e-02 -0.0414021423  0.117086109 -7.081987e-02 -0.0276490719  4.253996e-02  0.0407030634 -0.0785436490
## stat34   -4.889224e-02 -0.0663350573 -0.064604321 -5.026075e-04 -0.0499217178 -5.980939e-02  0.0282728595  0.0443213886
## stat35   -9.943068e-03  0.0685815150 -0.073328843  9.215635e-02 -0.0020136333 -8.986995e-02 -0.0426945882  0.0572416937
## stat36    1.003610e-01  0.0412292761 -0.025131723  4.293296e-02 -0.0366603837 -3.129398e-02 -0.0081059969  0.1504098227
## stat37    4.703744e-02 -0.0283042673 -0.031252757  6.445984e-02  0.0557393035 -1.893676e-02 -0.0997608684  0.1394956681
## stat38   -2.123531e-02  0.0907778800  0.086964472  1.969530e-02 -0.1055542705  2.202049e-02  0.0278140424 -0.0525912154
## stat39   -8.714498e-02 -0.0716860778  0.027917058 -3.249897e-02  0.0567408878  2.667865e-02 -0.0204025926  0.0024461847
## stat40   -5.740752e-02 -0.0505319331 -0.055890665 -1.069714e-05  0.0666692314  4.760829e-02 -0.1405527347 -0.0549301688
## stat41   -4.925334e-02 -0.0631201017 -0.019638835 -9.177593e-02 -0.0149591673  5.230594e-02 -0.0275243131 -0.0136406081
## stat42   -1.603312e-01  0.0101044054 -0.022106106  7.773369e-02  0.0279551702 -4.127298e-02  0.0347999672  0.0051138962
## stat43   -5.731842e-02  0.0191736964  0.020686704 -9.206918e-02 -0.0173403425 -1.725243e-02 -0.0164340303  0.0526192268
## stat44    6.283047e-02  0.0512702443  0.112391340 -1.329071e-01  0.0663118109  5.837881e-02  0.0350227369  0.0738898428
## stat45    1.752544e-02  0.0523940388  0.029852965 -7.417193e-02 -0.0906953540 -3.634087e-02 -0.0694498432  0.0469541548
## stat46   -6.383763e-02 -0.1024643768 -0.113900478 -3.210938e-02 -0.0447593747 -1.245836e-02 -0.0123084296  0.0324737505
## stat47   -7.665476e-02  0.0422502251  0.063581699 -5.081696e-02 -0.0007816295  2.559605e-02  0.0416900792 -0.0280703469
## stat48   -1.799538e-02 -0.0216995801 -0.083268406  1.536124e-01  0.0197948256 -3.633200e-02  0.0003427858 -0.0803604392
## stat49   -6.401620e-02 -0.0570551365  0.039636722 -7.080400e-02 -0.0072793989 -6.851786e-03 -0.0451986248  0.0700512743
## stat50   -1.314928e-02 -0.0321172790 -0.006798666 -7.517739e-02 -0.0167324591  1.769503e-01 -0.0195525320  0.0127150775
## stat51   -4.313221e-02 -0.0614563409 -0.007773307  1.697366e-02 -0.0492829654  1.796408e-02 -0.0508735977 -0.0099819385
## stat52   -1.480799e-02  0.1005079402 -0.099385744  4.961806e-02 -0.0560233911 -1.247128e-01 -0.0214229164  0.0037190735
## stat53   -2.746997e-02 -0.0383765155  0.067268217 -7.698301e-02  0.0774057254 -1.148585e-01 -0.0452753584 -0.0416011767
## stat54   -2.206822e-03  0.0244238085 -0.019437584 -8.990019e-02  0.0421003872 -7.444317e-03 -0.0696937469 -0.1271806458
## stat55   -4.334007e-02 -0.0376400300  0.188002609 -6.280867e-02  0.0316627754  6.473454e-02 -0.1150247963 -0.0001382250
## stat56   -5.548633e-03  0.0623457454  0.093377905  3.592158e-02  0.0903761174 -2.011646e-02  0.0583988260 -0.0747444365
## stat57    3.026626e-02  0.0542720181 -0.028143771 -1.026971e-03  0.0150694738 -5.740628e-03  0.0781897992  0.0506381985
## stat58   -1.464287e-02 -0.1158148288 -0.110860139 -3.802331e-02  0.1964545151  1.709552e-02 -0.1193086674 -0.0660218484
## stat59    8.589550e-02  0.0079129205  0.036992432  3.557003e-02  0.0102173687  2.528710e-03 -0.1142434527  0.0495059620
## stat60   -9.094241e-02  0.0364170392 -0.084312913  6.285098e-02 -0.0651874868  8.042672e-02 -0.0147437804  0.0570152041
## stat61    3.296524e-02  0.1185100022  0.015426094 -6.345255e-02 -0.2026533231 -3.033463e-02  0.0484003993 -0.0903067820
## stat62    1.303071e-02  0.0561780882  0.063242959 -3.388880e-02  0.0694513373  5.249405e-03 -0.0251496241 -0.0101130022
## stat63    5.101711e-02 -0.0082153443 -0.062819678 -2.216701e-03  0.0577940969  1.221762e-01 -0.0824202077  0.0029181789
## stat64   -6.307806e-02 -0.0100939416 -0.045121910 -3.486544e-02  0.0146366181 -5.798122e-02 -0.0775793434  0.1114280362
## stat65   -1.163022e-01  0.0004212443 -0.031545713  5.578987e-02  0.0443856150  1.740367e-02  0.0273550106  0.1150218559
## stat66    4.889279e-02 -0.0357845150  0.002084696 -5.610700e-03  0.0810617051  4.858168e-03  0.0501783898  0.0349151175
## stat67    8.797415e-02  0.0369782802 -0.007063270 -1.996326e-01 -0.0359330273 -4.043166e-02  0.1124987977  0.1026660859
## stat68   -1.848063e-02 -0.0203083112  0.017452926  5.700820e-02  0.0155052252  6.579374e-02 -0.1507382179  0.0688179022
## stat69    1.979409e-01 -0.0585736058 -0.007053542 -1.246681e-01  0.0738014381 -7.535861e-02 -0.0045683986 -0.1104516752
## stat70    7.647451e-02  0.0439437525  0.040343590  5.403580e-02 -0.0252340408 -1.372919e-01 -0.0050668019  0.0036281479
## stat71    7.455798e-02  0.1208060697  0.001280862  4.995571e-03 -0.0950664462 -6.138851e-03 -0.0685548452  0.0368344831
## stat72   -9.502948e-02  0.0918630568 -0.020097905  2.904349e-02  0.0661633390 -2.081187e-02 -0.0076355617 -0.0149975687
## stat73    6.860802e-02  0.0223014671  0.094191874  5.566596e-02  0.0504603405 -1.654322e-02 -0.0126173921 -0.0209878164
## stat74    3.270491e-02  0.1330505502 -0.054798890  5.669278e-02 -0.0315201917  1.121210e-01 -0.0690879322 -0.0057935049
## stat75    1.606795e-01  0.0039138998  0.044609333 -1.264484e-01 -0.0343237412  3.526083e-02  0.0256268053 -0.0380656170
## stat76    5.202409e-02 -0.0181839743 -0.034680884  7.602840e-02 -0.0286748890  5.892474e-02  0.0535971055  0.0547391451
## stat77   -2.092461e-02 -0.1029218239 -0.007366805 -1.363370e-02 -0.0008621386  7.710618e-02  0.0308052283 -0.0802057096
## stat78   -2.931238e-03 -0.0119425567  0.127171393 -8.002128e-02 -0.0035465863  3.400016e-02 -0.0399623822 -0.0053206673
## stat79   -8.017956e-03  0.0201942292  0.041438211  6.440594e-02  0.0196853167  1.062283e-02  0.0782684524  0.0138590055
## stat80    5.193286e-02 -0.0094054197 -0.038353662 -1.063823e-02  0.0728681089 -4.030134e-03  0.0714671416  0.0791218281
## stat81    7.925262e-02  0.0028629481  0.021291409 -3.584397e-02 -0.0701097373 -1.508555e-01 -0.0312599830  0.0171449539
## stat82    5.129529e-02  0.1910978854  0.110841747  1.402165e-01  0.0420810003  1.177780e-01  0.1198879274 -0.0239776961
## stat83   -1.272550e-01 -0.1121067661 -0.021561278 -3.833502e-03 -0.0142093967 -1.768121e-02 -0.0679878741  0.0063192254
## stat84    2.649121e-02 -0.0414434556 -0.055321663 -2.638308e-02 -0.0214766057  5.138380e-02  0.1275067535  0.0343452108
## stat85    5.915649e-02  0.0274425766 -0.086594653 -1.282813e-02  0.0465260705  1.122735e-01  0.0600741555 -0.0532197628
## stat86   -1.054757e-01 -0.0379377222  0.091526908 -6.070249e-02 -0.0261368115 -2.999994e-02 -0.0367177136  0.1316836089
## stat87   -1.693732e-01  0.0057745060  0.105053556 -1.253191e-01 -0.0483532923 -2.294558e-02 -0.0743762217  0.0373910055
## stat88    1.166482e-02 -0.0577548084 -0.033631965  1.468158e-01  0.0022139500  7.943423e-02 -0.0587766960 -0.0277932614
## stat89    3.879573e-02 -0.1188956004  0.102166241  9.670512e-02  0.0612468497 -6.426367e-02  0.0118885743  0.0545320505
## stat90    1.536344e-02 -0.0419873769  0.079999787 -7.312183e-02 -0.0340212671 -1.091011e-01  0.0882021217  0.0148657552
## stat91    1.220641e-01  0.0063578728  0.112234957  3.015444e-02 -0.0863104263  7.505013e-02 -0.0219507050  0.0453774309
## stat92    9.864240e-03  0.0032097623 -0.190249901 -6.269329e-02 -0.0242456197  2.500920e-02 -0.0614492696  0.0071347832
## stat93    9.035474e-03 -0.0752249946 -0.065444576 -6.737724e-02  0.0277702891 -2.435447e-02 -0.0070957687 -0.0876480633
## stat94   -8.089255e-02  0.0055779663  0.037224909 -1.011334e-01  0.0070719427 -6.741899e-02  0.0571718483 -0.0085183526
## stat95   -4.865973e-02 -0.0308343921 -0.008244131 -9.093411e-02 -0.0164317842 -4.859072e-02  0.0597169795  0.0825066460
## stat96   -8.097464e-02  0.0762467258 -0.044062947 -2.222442e-02 -0.0234539122 -2.200251e-02 -0.0835024462 -0.0488742535
## stat97   -9.405703e-02 -0.0775893057 -0.003581528  6.568191e-02  0.1237221169  1.090728e-02  0.0186453245 -0.0696420744
## stat98    5.205779e-02 -0.0819523484  0.051271762 -3.673042e-02 -0.1499282628  5.313118e-02  0.0032400887  0.0445947102
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## x18.sqrt  3.659249e-02 -0.0145885773  0.005792723  1.772932e-03  0.0157878416 -7.095710e-02  0.0677231181 -0.0698804455
##                  PC108         PC109         PC110         PC111        PC112         PC113         PC114         PC115
## x1       -0.0649748080 -0.0891551913  3.830096e-03  0.0245613868  0.016859411  0.0769519240  0.0527442146 -0.0782705730
## x2       -0.0072527216 -0.0839018419 -3.998493e-02  0.0668204191 -0.040015946  0.0504102176  0.0102294387  0.0319032341
## x3        0.0698886295 -0.0745904198  6.801835e-02  0.0667158963 -0.007264576 -0.0051219525 -0.1085386697 -0.0382196078
## x4       -0.0410624041 -0.0838502911 -6.629419e-02 -0.0355732513  0.080256807  0.0395689211  0.1115139097  0.0074512609
## x5       -0.0250702006  0.0363778101  8.600351e-04  0.0954249534  0.178078029  0.0291713409 -0.0521511200  0.0337836524
## x6        0.0178921148  0.0762260208  9.809030e-02 -0.0746112129  0.046953458  0.0594933545 -0.1103993536 -0.0777638816
## x7       -0.0096164601  0.0238717308 -3.152522e-02  0.0184559764 -0.033047045  0.0313163080 -0.0680871827 -0.0154107436
## x8        0.0432791426 -0.0126767253 -1.127326e-02 -0.1184924873 -0.011875181  0.0306624659 -0.0998266769  0.0429969073
## x9        0.0052073864 -0.0989246739 -1.150169e-01 -0.0066003793  0.058503321  0.0130127191  0.0943025403  0.0109600939
## x10       0.0057392075  0.1047416250 -2.997673e-02  0.1265882485 -0.020555463  0.0115443492 -0.0488329346 -0.0373378569
## x11       0.0507346811 -0.0784557431 -2.657071e-02  0.0751336047 -0.037471951 -0.1384533540  0.0960759113 -0.0256797900
## x12      -0.0666023265 -0.0346007316  3.571374e-02 -0.0704915253  0.053434479 -0.0907245079  0.0166646642  0.0089352580
## x13      -0.1772181566  0.0393152136  5.378999e-02  0.0074117616 -0.067381709  0.0407909301 -0.1081336122 -0.0112974736
## x14       0.0913668735 -0.0727793710 -1.500137e-01  0.0513915417 -0.025529520  0.0645318644 -0.0796719371 -0.0342810068
## x15      -0.0760877589  0.0484910242 -8.077702e-02  0.0828641610 -0.016803531  0.0599931282 -0.0046929530 -0.0501786330
## x16      -0.0573801953  0.0158282636  3.663699e-02 -0.0319403005 -0.039148353  0.1112764397 -0.0845938876  0.0636108417
## x17       0.0053815975  0.0502497863  4.890304e-02  0.0942203355 -0.008011929  0.0530215368  0.1359447071  0.0748347949
## x19       0.0041094400 -0.0207608763 -4.888495e-02  0.0189605101 -0.024870454  0.0327983436  0.0377452220 -0.0259143789
## x20       0.0131755001  0.1257594479  1.181967e-01  0.0815472112  0.002224031 -0.0046961805 -0.0480595002 -0.0451828595
## x21      -0.1347187236 -0.1323450859  1.220619e-02 -0.0447707416  0.025051253  0.1163704257 -0.1808698304  0.0553900349
## x22      -0.0234101852  0.0693883414 -3.666152e-02  0.0681931798  0.123292739  0.0325819833 -0.1350806754  0.0025081166
## x23      -0.0026039256 -0.0444060532  2.361299e-02 -0.0045365590 -0.076773435  0.0307168117  0.1320073389  0.0283595664
## stat1    -0.0284827532  0.0599019769  6.407814e-02 -0.0411672057  0.179785883 -0.0894484300  0.0048947737 -0.0313924841
## stat2    -0.0597511444 -0.0705510842  8.928859e-02 -0.0717897004  0.007652928 -0.0456783912  0.0282245443 -0.0630474295
## stat3     0.0031451152 -0.0742854376  8.890680e-02  0.0815869932 -0.003214619 -0.0657428673 -0.0438336475 -0.0373211241
## stat4    -0.0375705591 -0.0399948287 -3.246809e-03 -0.0935284789  0.021215185 -0.1100103818 -0.0808927694 -0.0920292268
## stat5    -0.0017253090  0.0018376468  4.572910e-02 -0.0600668974 -0.008766214 -0.1004612670  0.0282914348 -0.0009028468
## stat6     0.0298447490  0.0356594120  1.320391e-01 -0.1005488914 -0.022328177  0.0222425984  0.0306663855 -0.0080116749
## stat7     0.0378274768 -0.0041693216  6.913992e-02 -0.0030314455 -0.012464814  0.1157901250  0.0008038686 -0.0185623872
## stat8     0.0042470036 -0.0129185521 -2.948123e-02  0.0211482695  0.076744070  0.0637970687  0.0901391569  0.0228932527
## stat9     0.1419647360  0.0491974337  6.798365e-02  0.0125448060 -0.166640800 -0.0124842612 -0.0585513752 -0.0179736232
## stat10    0.0445477555 -0.0529597926 -7.787597e-02  0.0652374179 -0.024050142  0.1355349373  0.0408271733 -0.0572388577
## stat11    0.0791845080 -0.0030763873  4.376901e-03 -0.1111455122  0.071885821 -0.0265381217  0.0061584506 -0.0698140536
## stat12   -0.0678883108  0.0512209896 -7.195770e-02 -0.0154918882  0.042451149 -0.0495847632  0.0145603010  0.0941376038
## stat13    0.0376610990 -0.0753736368 -2.433263e-02 -0.0022791346 -0.005864045 -0.0082154125  0.0257947737 -0.0692055972
## stat14   -0.0620212177  0.0290534357 -4.084878e-02 -0.0432281517 -0.035714146 -0.0268549214 -0.0388628375  0.0041469520
## stat15    0.0802795468  0.0639281073 -5.486126e-02  0.0973954771  0.054132406 -0.0475689121  0.0579689841 -0.0153900574
## stat16   -0.0070747425 -0.0646650642  9.021162e-02  0.1648932642  0.067645809 -0.0369006333  0.0845144599 -0.0803076576
## stat17   -0.0639964645  0.1242551148 -4.445484e-02 -0.0055408792 -0.052064229  0.0268512158 -0.0123407747  0.1197816638
## stat18    0.1036491836 -0.0327672827 -1.459066e-02  0.0515239815  0.057053697 -0.0769887128  0.0093006164 -0.0412085580
## stat19   -0.0503451894  0.0023667493  6.417566e-02 -0.0476393665  0.076793422 -0.0475270125 -0.0640700698  0.0308528255
## stat20    0.0075172960 -0.0211151483  3.475769e-02 -0.0280733613  0.054807466  0.1169171117  0.0042475149 -0.0434622320
## stat21   -0.1648833745  0.0279566613 -2.039640e-01  0.0426469165  0.058227055 -0.0899000633 -0.0289640163  0.0446851115
## stat22    0.0242731698  0.0660114086 -9.624578e-02 -0.1022583465 -0.044173027 -0.0555435040  0.0183053360  0.0985084369
## stat23    0.0870258438 -0.0615584985  1.130436e-01  0.0062225047 -0.005720358  0.0570319505 -0.0406072109  0.1284578625
## stat24    0.0443822817  0.0312868908 -3.600974e-02  0.0138569748  0.022836757 -0.1498438238 -0.0079618660  0.0865974627
## stat25    0.1330309077  0.0007145956  2.184644e-02 -0.0540971095  0.085223127 -0.1153248292 -0.0260110978  0.0249675454
## stat26   -0.0357456331 -0.0651292283  2.181521e-01 -0.0431920027  0.005723876 -0.0259918378  0.0246133703 -0.0492845396
## stat27   -0.0068190932  0.0421100692 -8.559785e-02 -0.1119453090 -0.026664727  0.0024983312 -0.0868452493  0.0358993218
## stat28    0.0747546436 -0.0014563345 -5.481486e-05  0.1399559871  0.035465873  0.0213762866 -0.0049738321  0.0033849966
## stat29    0.0353848811 -0.0713182124  4.803184e-02  0.1317473209  0.013189713  0.0257744331 -0.0141077773 -0.0383832492
## stat30    0.0975894876  0.0676304010  4.226851e-02  0.0134140762  0.008424668 -0.0196808321  0.0126137976  0.0711712044
## stat31    0.0725734199  0.0218290334  2.082619e-03 -0.0865624547  0.076101902  0.0532990602  0.0071639300 -0.0059847173
## stat32   -0.0455018282  0.0163765098 -2.230445e-02  0.0033072507  0.116568773  0.0380167452  0.0236140510 -0.0310996055
## stat33    0.0015190742  0.0340205317  8.133148e-02 -0.0236245535  0.098428502 -0.0568512073  0.0007834225 -0.1176572230
## stat34   -0.0123661562  0.0387837685 -5.479255e-02 -0.0580451401  0.017698935  0.0302478721 -0.0487406839  0.0032766632
## stat35    0.0266543435 -0.0203206525  7.723511e-03  0.0717241336 -0.013757342  0.0349855509  0.0223871386  0.0089300204
## stat36   -0.0700713149  0.0973802671  1.954413e-02  0.0423216626  0.121297908 -0.0096006580 -0.0278711203 -0.0704081559
## stat37   -0.0769036312 -0.0549996280 -5.810204e-02 -0.0256426607 -0.047730027 -0.0440592851 -0.1422197258  0.0161518239
## stat38   -0.0262216179 -0.0134886509 -6.017396e-02 -0.0454633081  0.047272113 -0.0404659838  0.0079758109 -0.0862977469
## stat39    0.1147520409 -0.0127682848  2.872485e-02  0.1245700995 -0.144256822 -0.0260497772 -0.1163468948 -0.0374459700
## stat40    0.0866669296 -0.0411213644  3.612358e-02 -0.0013238056  0.021360075  0.0490662527 -0.0387957380 -0.0530802533
## stat41    0.0216437294  0.0069461680 -3.471593e-02  0.0243790457  0.067064896  0.0218495645  0.0258715768 -0.0760602809
## stat42   -0.0322375153 -0.1297581139  3.522476e-03 -0.1281607141 -0.031609674  0.0353498505 -0.0237850666  0.0535594655
## stat43   -0.0352233022 -0.1087068706  2.421083e-02 -0.0497415443 -0.175799233  0.0102486786 -0.0395731157 -0.0354365988
## stat44    0.0463798737 -0.0165118903 -6.638263e-02 -0.0831223947  0.085660141 -0.0247267852  0.0836866906  0.0566292655
## stat45   -0.0012960762 -0.0339517629 -4.977996e-02  0.0295471688  0.019587155  0.0601571140  0.0120775234  0.0668292637
## stat46   -0.0738244691 -0.0243146585 -4.215500e-02 -0.1743871772 -0.173398579 -0.0644938135  0.0383434900 -0.0155431836
## stat47    0.0672881409 -0.0430599447  3.066435e-02 -0.0266974814 -0.036713078 -0.0829145617 -0.0506771931  0.0077224932
## stat48    0.0609273121 -0.0002085305  9.861060e-02  0.1036277926  0.049805107 -0.0388471684 -0.0978819033 -0.1613551065
## stat49   -0.0360020100  0.0127010633  1.176880e-01  0.0106160826  0.086385432  0.0609154497  0.0099837821 -0.0093062689
## stat50    0.0352460734  0.0105357219 -9.782693e-03  0.0129348728 -0.014110431  0.1662801986 -0.0475957828  0.1407775394
## stat51    0.0079005249 -0.0329979445  5.817191e-02 -0.0081328943  0.078828673 -0.0273768467  0.0388187024  0.0385986981
## stat52   -0.0081543557  0.0590932540  4.550903e-02  0.0050697144 -0.065751951  0.0744540221  0.0541771143  0.0566246335
## stat53    0.0568011464  0.0464023083  9.861724e-03 -0.0529124310  0.089852592 -0.0120053279 -0.0633684316 -0.0128109228
## stat54    0.0042340469  0.0663405028  1.004890e-01 -0.0221318651 -0.037000672 -0.0276458583 -0.0770520906  0.0466460299
## stat55   -0.0603970802  0.1209229872 -5.813294e-02  0.0484639811 -0.038821942 -0.1109120309  0.0084357040  0.0523633838
## stat56   -0.0423629473 -0.0044992664 -4.971910e-02 -0.0182919699 -0.044964966  0.0886064578  0.0840524155 -0.0879133469
## stat57    0.0185851058  0.0353646737  4.468847e-03 -0.0568619263  0.046259330 -0.0351930510  0.0978079922 -0.0447916793
## stat58    0.0686848827 -0.0555264343 -2.097175e-02  0.0012058849 -0.019237367  0.0895749884 -0.0632867028 -0.1422045883
## stat59   -0.0988631605 -0.0613764674  1.509210e-03 -0.0589154519 -0.038112304 -0.1162912306 -0.0222178171  0.0049694712
## stat60   -0.0031601508 -0.0215760897  2.303477e-02  0.0014759836  0.135401548 -0.0512116781  0.0011744069  0.0113125892
## stat61    0.0499267329 -0.0136934851  2.623758e-02  0.0760568945 -0.051087635  0.0091658692  0.0198410374 -0.0837707660
## stat62   -0.0695669450 -0.0409214016 -9.466007e-02 -0.0908090604 -0.007591547  0.0360331517  0.0913986958  0.0154169331
## stat63   -0.0032635415 -0.0281306113 -5.346149e-02  0.0259243470  0.013494784 -0.0036781692 -0.0624376815  0.0458972043
## stat64    0.0630984529  0.0524804371  6.747655e-02  0.0160298793 -0.174119086 -0.0405073874  0.0918045059  0.0583837392
## stat65   -0.0548832875 -0.0201700714 -8.977167e-02  0.0876819603  0.057704481 -0.0243247201 -0.0453786340  0.0760653479
## stat66   -0.1255925091 -0.0043174760  3.457868e-03  0.0738035115 -0.066865530 -0.0062224748 -0.1204351993 -0.0581025071
## stat67    0.0368039781  0.0417486028 -2.185990e-02 -0.0669072348  0.029541901 -0.0420347254 -0.0214391573  0.0235783947
## stat68   -0.0200976695  0.1072641796  1.030485e-01 -0.0631371931 -0.014816534  0.1288212313 -0.0842516214  0.0407270213
## stat69   -0.0673059735 -0.0997297487 -1.713402e-02 -0.0532746224  0.058814195 -0.0335561280 -0.0215610834 -0.0853007451
## stat70   -0.0870314115 -0.0440130582  1.345145e-01  0.0996569619  0.009099387 -0.0891946924  0.0634129978  0.0826368189
## stat71   -0.0041352111  0.0281595295  1.795345e-03 -0.1110442476  0.027762424  0.0591278803  0.0211850324 -0.1257221371
## stat72    0.1309202106 -0.0528785462 -1.272910e-01 -0.0064216779 -0.106561216  0.0112565851 -0.0779012842 -0.0202195734
## stat73    0.0460439307 -0.0047607535 -3.030059e-02  0.0560133049 -0.154608587  0.0261446739 -0.1327240702  0.0461716894
## stat74    0.0049159616  0.0377854722 -6.768362e-02  0.0508627541 -0.022587393  0.1505244726 -0.0156117892 -0.0533019458
## stat75   -0.0732989205 -0.0572662611  1.657352e-02  0.0109224743 -0.005372850  0.0655653341  0.0097730967 -0.0021694392
## stat76    0.0457823110 -0.0171699011 -4.289662e-02  0.0114311387 -0.056523228 -0.0594598777 -0.0012239089 -0.0736022998
## stat77   -0.2091083224  0.0385318429  3.114368e-04 -0.0273276601  0.007787728 -0.0011319994 -0.1141385045  0.0714800871
## stat78    0.0880963119 -0.0307291830  7.093076e-03 -0.0030829014 -0.060745627  0.0388243901  0.0625395156  0.0409691744
## stat79    0.0922636320 -0.0178380798  7.505804e-03 -0.0242130389  0.029220976  0.1152556906 -0.0043513628 -0.0154923792
## stat80   -0.0494792135  0.0289996695 -2.169822e-02  0.0644789234  0.096787178  0.0817168031 -0.0715086944 -0.0558543639
## stat81    0.0159120114 -0.0335921689 -7.781274e-02 -0.1376089994 -0.029450460 -0.0327324372 -0.0615527283 -0.0617446199
## stat82   -0.1237733186  0.0510204442 -9.723194e-02  0.0518902447 -0.006073065  0.0138641690  0.0082061476 -0.0330909455
## stat83    0.0056033642 -0.0216929963  3.655132e-02 -0.0226416045 -0.033733909 -0.1188813556  0.0427531222 -0.0314994287
## stat84   -0.0987002981  0.0563337890 -3.415715e-02  0.0186868218 -0.018110851 -0.0430768520 -0.0496969752 -0.0913357114
## stat85    0.0290153222 -0.0484413523  3.885740e-03  0.0613124023 -0.067139209  0.0955236208  0.0323253645  0.0073777628
## stat86   -0.0388706592 -0.0494200727 -4.449438e-02 -0.0230537707 -0.044158671  0.0208891479  0.0152505479  0.0349233812
## stat87    0.0406019449  0.0220568774 -3.391849e-03  0.1425089741 -0.013405331  0.0734739517 -0.0728266053 -0.0734664874
## stat88   -0.1006633704  0.0313617942  1.137989e-01 -0.0520755159 -0.056113726 -0.0008811439  0.0540419340 -0.0424481223
## stat89   -0.0617469589  0.0481000911 -2.625050e-02 -0.1049500227 -0.015700181  0.0619936062 -0.0431310032  0.0578156822
## stat90   -0.0569687859 -0.0553820083 -1.588100e-02  0.0849537656 -0.056871172 -0.0311537337 -0.0926723037  0.0396702958
## stat91    0.1687783998 -0.0646792130  9.469826e-03  0.0370926959  0.036303692  0.0368736557 -0.0361541807  0.0877750021
## stat92    0.0583419753  0.1305283910  9.390848e-02  0.0036040735  0.016266122  0.0311940393  0.0603235543 -0.0208907695
## stat93    0.1109804913  0.0792699503 -1.153367e-02 -0.0251739213 -0.051921768  0.0431643252  0.0029599163 -0.0200280624
## stat94   -0.0245734233  0.0332282835  1.373148e-02 -0.0701249241  0.034776539 -0.0067426504  0.1027006857  0.0707228311
## stat95   -0.0201501434 -0.1015838339 -1.097503e-01  0.0947716438 -0.008000990  0.0031575512 -0.1021759058 -0.1378789148
## stat96   -0.0041591497 -0.0423434215  2.880227e-02  0.0496783189 -0.028066168 -0.0759555295 -0.0318149153  0.0158003721
## stat97    0.0137501861 -0.0002823974  2.116448e-02 -0.0855916622  0.024584934  0.0640499021  0.0749841740  0.0001804820
## stat98    0.0070645754 -0.1081382328  8.110890e-02  0.1837986381  0.044169655 -0.0307906521 -0.0432675642  0.0208474594
## stat99   -0.0683812674  0.0581007824 -6.710395e-02 -0.0277795442  0.046694266 -0.0503682624  0.0969158234 -0.2056622543
## stat100   0.0483740049  0.0770191421 -3.267918e-02  0.0769241335 -0.083812890 -0.0496690024  0.0261201830  0.0226690516
## stat101   0.0013951193 -0.0507994351  1.194424e-01 -0.0066422255  0.094745432 -0.0510302335  0.0112460304  0.0185538782
## stat102   0.0466559448 -0.0571629013  7.983627e-02 -0.0109300162 -0.065386262 -0.1163212249 -0.0296644281  0.0909050949
## stat103  -0.1555382235  0.0623006541  6.277956e-02 -0.0470448028  0.074982389 -0.1510837197  0.0380826229  0.0137660974
## stat104  -0.0114519852  0.0655202094 -3.399691e-02 -0.1128398080  0.043670390  0.0771305374  0.0162402939 -0.0524766201
## stat105   0.0769807020  0.0135775283  4.905926e-02  0.0632963781 -0.052379076 -0.0583271317 -0.0278928032  0.1633207516
## stat106   0.0466603719  0.0472163614  8.525943e-03  0.0349754425 -0.064700378 -0.1296842997  0.0120138393  0.0258318677
## stat107  -0.0448860443  0.1057450364 -1.054193e-01 -0.1246891971 -0.029156730 -0.1311812813 -0.0019406959 -0.0281265646
## stat108   0.0008975155  0.0791473474 -1.272152e-01  0.0650740635 -0.025002493 -0.0677764227 -0.0459501523 -0.0510173728
## stat109   0.0785817324  0.2030891939  6.553356e-02  0.1268286662  0.015637039  0.0447472046 -0.0009809458 -0.1802386827
## stat110  -0.0536981704 -0.0510378855  9.209687e-02 -0.0460643159 -0.151338295 -0.0141746133 -0.0276639763 -0.0261001087
## stat111  -0.0242952087 -0.1025026757  1.093832e-02 -0.0369055491 -0.011435700  0.0144608598 -0.0074803436 -0.0930608245
## stat112   0.0305241021 -0.1178212820  1.198213e-01 -0.0392661059 -0.034912613 -0.0526090688  0.1127180447 -0.0820232235
## stat113  -0.0677524053  0.0373802552  1.572664e-02 -0.0191627171  0.049334126 -0.0132711473 -0.0721860252 -0.0056919443
## stat114  -0.0244183690  0.0216845144 -4.572835e-02 -0.0523354701 -0.055070927  0.0305581030  0.0586910935 -0.0622065899
## stat115  -0.0446062279 -0.0429887573  3.301346e-02  0.0193400228  0.049783801  0.0409758326  0.0769583609  0.0738395033
## stat116   0.0528101863 -0.0189602429 -1.054428e-02  0.0172186925  0.105507098 -0.0939671494 -0.0202986008  0.0430255315
## stat117  -0.0919426215  0.0714082798  1.473393e-02  0.0601298924 -0.070523037  0.0259257878  0.0884143039  0.0214729798
## stat118   0.0059590975 -0.0177481129 -9.017282e-02 -0.0180103839  0.059627619  0.0196244796 -0.0608010684 -0.0357397635
## stat119   0.0234823278 -0.0749654052 -3.069935e-02 -0.1401199854 -0.075700770  0.0182001287 -0.1544120147 -0.0771998454
## stat120  -0.0160538529  0.0403111494  5.196428e-02  0.0889454244 -0.008756963  0.0473092415  0.0017851166  0.0794079726
## stat121   0.0461118217 -0.1588328331  7.527939e-02 -0.0574466185  0.089538353  0.0388478426  0.1153062716 -0.0621707734
## stat122   0.0248235529  0.0918928665  4.477745e-02 -0.0598536052 -0.019701994  0.0483563874 -0.0679262825 -0.0267408655
## stat123   0.1125264248  0.0331349914  1.573287e-02 -0.0224169713  0.060291221  0.0091684852  0.0132028547  0.0527822553
## stat124   0.0593739854 -0.0126344465 -6.511418e-02  0.0858236555 -0.023985845  0.0329163335 -0.0169870570  0.0819139047
## stat125   0.0112639020 -0.0355701471  6.093078e-03 -0.0238337715  0.081403424  0.0598546831  0.1552461293  0.0090175399
## stat126   0.0342734793 -0.0882694473 -1.724141e-02 -0.0041265535 -0.098037332 -0.0638363647 -0.0638320870 -0.0712375547
## stat127  -0.0831694861 -0.0065862758  2.432351e-02 -0.0077543237 -0.079457247  0.0438680978 -0.0834533003 -0.0529693100
## stat128  -0.0478354991  0.0282501226 -9.349220e-03  0.0448817829 -0.015808643  0.0227027082 -0.0374889628 -0.0135958962
## stat129  -0.0563120433 -0.0875136842 -5.197588e-02  0.0524251016 -0.042908596  0.0408057705  0.0873911351  0.1142890173
## stat130  -0.0205155514  0.0471730810  4.394017e-02  0.0080006129  0.069289417 -0.0570952268 -0.0522228605 -0.0308198466
## stat131   0.0719417455 -0.0142850520  8.347285e-02 -0.0031871244 -0.004904309  0.0857081805 -0.0690779151  0.0774785253
## stat132  -0.0046159164 -0.0492942206  3.968692e-02  0.0347460914  0.029936253 -0.1408471218  0.0600059203  0.0485395566
## stat133   0.1398760754 -0.0325163706  1.078813e-01 -0.1377505807  0.101728106  0.0226061513 -0.1054697039 -0.0443129624
## stat134   0.0719046368  0.0442796884 -1.552099e-01 -0.0082546578  0.023569442 -0.1455090003  0.1075881820 -0.1031033553
## stat135  -0.0747379406  0.0994918895  4.959007e-02 -0.0070242606 -0.024935620 -0.0658280234  0.0506920331  0.1098679413
## stat136  -0.0780346357  0.0601704764  1.230154e-01  0.0569100194 -0.025443007 -0.0198528920  0.0859999201 -0.0845037553
## stat137   0.0580728175  0.0023684639  8.595111e-02 -0.0253446415 -0.104518343 -0.0811813418 -0.0220451995  0.1113157236
## stat138  -0.0260854047 -0.0410319808 -2.102785e-02 -0.1000448235 -0.068786679  0.0055164350 -0.0477219172  0.0226884740
## stat139  -0.0450514900 -0.1015276036 -2.113861e-02 -0.0144186858 -0.007411189  0.0992709990  0.0616832524  0.0522016719
## stat140   0.0095831334  0.0896363879 -7.721192e-03  0.0971527698 -0.028750434 -0.0703045518  0.0497663987  0.1290768033
## stat141  -0.0534190157  0.0013508874  6.132314e-02 -0.0376765208 -0.044792390  0.0032982783 -0.0018709980 -0.0118315292
## stat142  -0.0227184859  0.0321147633  1.031218e-02  0.0220426891  0.059717504 -0.0456958949 -0.0075915717  0.0799305210
## stat143  -0.0388368289  0.0303007970 -9.021668e-02 -0.1130534487 -0.111039155  0.0014962053  0.0664181575 -0.0566298525
## stat144   0.0516214929  0.0426094192 -8.882862e-02  0.0542178070  0.034789301 -0.0374557880  0.0263909834 -0.0516377111
## stat145  -0.0446344089  0.0867933759 -2.857560e-03  0.0564480423 -0.083865320  0.0481641133  0.0697236448  0.0082027214
## stat146   0.0300436272 -0.0205725428 -7.813398e-02  0.0042991974  0.051291614 -0.0809895432  0.0053063666  0.1011175420
## stat147  -0.0113440319 -0.0385416360  3.815575e-02 -0.0572724481  0.023745542 -0.0631852483 -0.0681610784  0.0485851013
## stat148  -0.0437301614  0.0361222461  2.106323e-01 -0.0374391704  0.144435758  0.0308924091  0.0508994632  0.0837815613
## stat149   0.0411085642 -0.0142365674 -2.498504e-02  0.0163846613 -0.007856728  0.0031087666 -0.0117486527 -0.0647162183
## stat150  -0.1037741830 -0.0519103107  3.811414e-02 -0.0251021960 -0.044651341  0.0685669411  0.1524380098 -0.0144675136
## stat151  -0.1091692245 -0.0683948307  5.307493e-02  0.0301749726  0.139225593  0.0423575625  0.0225399087  0.0477550735
## stat152  -0.0201273813 -0.0865433099  2.640959e-02 -0.0711015077  0.037892292 -0.0354227328 -0.0440078294  0.0052980490
## stat153  -0.0506687151 -0.0176528348  2.303672e-02  0.0242779198 -0.017808989  0.0331228392  0.0957403304 -0.0169130652
## stat154   0.0042969577  0.0841497204  2.442594e-02 -0.1364583640  0.096875529  0.0647551360 -0.0166510829  0.0270614046
## stat155   0.0263296414 -0.0245232427 -1.652776e-02 -0.0067512987  0.144921097 -0.0606726284 -0.0204653371 -0.1464043344
## stat156   0.0479904515 -0.0434617490 -5.105812e-02  0.0221126490  0.018144895 -0.0367160988  0.1011852008  0.0195498921
## stat157  -0.0008602008  0.0111309329  5.876423e-02  0.0412855613 -0.042164644 -0.0008921306 -0.0013606512 -0.0851987106
## stat158  -0.0117073713  0.0588289334 -8.932435e-02  0.0339640139  0.031784413  0.0532789183 -0.0652731590  0.0429798628
## stat159   0.0242935353  0.0241295036 -7.802312e-03 -0.0375802702 -0.079839686 -0.0049345764  0.0751785313 -0.0841285432
## stat160  -0.1107346241 -0.0592508142 -6.537248e-02  0.0610187331  0.047200201 -0.0727963991 -0.0783692171  0.1014183835
## stat161  -0.0207228796  0.0553094964 -1.463556e-01  0.0472310996  0.079185191 -0.0462314997  0.0028887884  0.0112029100
## stat162  -0.1005837660 -0.0913208025  3.268558e-02  0.0683187488 -0.040269770  0.0328984727  0.0310435240  0.0710740405
## stat163  -0.0432585212  0.0490252503 -1.353025e-02 -0.1221686344  0.016788016 -0.0639629632 -0.0623879055  0.0442048044
## stat164   0.0110855870 -0.0826015031  4.737949e-03  0.0137600001  0.018341451  0.0096486878  0.0114613434  0.0057304736
## stat165   0.0040227001 -0.0250809272  3.748524e-02  0.0212447989 -0.030016839  0.0206314910  0.0208131008  0.0518112693
## stat166  -0.0277959551 -0.0234401881  8.504790e-02  0.0365425080 -0.004443779 -0.0475453036 -0.0563338486 -0.0361794835
## stat167  -0.0702193715  0.0972943647  1.593773e-02  0.0127767835 -0.033127247  0.0790191960 -0.0118671042 -0.0546797547
## stat168  -0.0675387146 -0.1470929392 -1.634368e-02  0.1090709323 -0.048508271 -0.0010594301 -0.0711119268  0.0146068533
## stat169   0.0769639234  0.0487881349 -1.051085e-02 -0.0381627785 -0.004002664  0.0178364271  0.0061326454 -0.0453110289
## stat170  -0.0931198710 -0.0002407008  4.149083e-02  0.0398263527  0.053218310 -0.0179793846 -0.0421731702  0.0220361250
## stat171   0.0025673484 -0.0069052845  3.481675e-02 -0.0236257539 -0.044924590 -0.0388130756  0.0179439323  0.0599039284
## stat172  -0.0394971922 -0.0322322147  7.577295e-02  0.0245077589 -0.010567879 -0.0597576608 -0.0361830036 -0.0885524981
## stat173  -0.0061043041  0.0263372486  5.847395e-02 -0.0208638312  0.015058872 -0.0803397971  0.0191566183  0.1555794375
## stat174  -0.0466103982  0.0292972628 -8.762058e-02  0.0020344934 -0.064300150  0.1021765044 -0.0085061144 -0.0163299969
## stat175   0.0278104923  0.0630825666 -1.467545e-01  0.0764363992  0.006008141 -0.0238680698 -0.0358365390 -0.0536647063
## stat176   0.0817062180 -0.0217849320  2.068188e-02 -0.0082906166 -0.033170998 -0.0971896143 -0.0456195559 -0.0757131236
## stat177   0.0315246404 -0.0684412254 -1.743362e-02  0.0574771929  0.059509896  0.0301543947 -0.0100059610 -0.0604322881
## stat178  -0.0539640756  0.1613115653  4.645568e-02 -0.0165203389 -0.099586389  0.0447922883 -0.0027991390  0.0161529543
## stat179   0.0486700694  0.2282638249  4.890101e-02  0.0503973490 -0.030335796 -0.0215194289  0.0816547075 -0.0793624664
## stat180  -0.0156666552 -0.1013570024  6.404482e-02  0.1319853408  0.030347417 -0.0656361178 -0.0289584847  0.0644308911
## stat181   0.0170620952 -0.0792443830  8.661976e-02  0.0512063159 -0.056872861 -0.1245432921  0.0580227076 -0.0654581687
## stat182  -0.0613861067 -0.0630599743  2.568979e-02  0.0253192499 -0.079894841 -0.1173369066  0.1038841727 -0.1034018312
## stat183  -0.1423287555  0.0414452194  6.136171e-02  0.0925197951 -0.050427888  0.0976731844  0.0209231955 -0.0712097956
## stat184   0.0376402175  0.0314181173 -8.239118e-03  0.0411172148 -0.095066131 -0.0729379696  0.0358542112 -0.0032613211
## stat185   0.1330765254 -0.1136713271 -4.524778e-02 -0.0745314547 -0.030069644  0.0060378878 -0.0622999487  0.0682636939
## stat186   0.0190010143  0.0013022276 -1.335971e-02  0.0219513157 -0.007504812 -0.0711957338  0.0205520736  0.0493958863
## stat187   0.0061428788 -0.0058723929 -7.562767e-02  0.0266295738  0.026741291  0.0299144556  0.0562934178 -0.0152147002
## stat188  -0.0824205639 -0.0143591283 -7.649944e-02  0.1184445662  0.016403157  0.0634520489  0.0363569781 -0.0251923261
## stat189  -0.0572860838  0.0035835652  3.224654e-02 -0.0784489813  0.042801555  0.0670111246 -0.1475303179 -0.0199721959
## stat190  -0.0069682122 -0.1097200984 -3.315147e-02  0.1198896487 -0.028300822 -0.0597354547  0.0132030819  0.0281030088
## stat191  -0.0041639943  0.0914919931 -6.633129e-02  0.0537681020  0.057484515 -0.1297408674 -0.0576742568  0.0538816815
## stat192   0.0001797382  0.0090073552  5.368012e-02  0.0392196242  0.016098309  0.0612387319  0.0125295069  0.0608684194
## stat193   0.0095800591  0.0859669064 -4.409728e-02  0.0165707107  0.069740474 -0.0328725276 -0.0091764349  0.0125426251
## stat194   0.0241958898 -0.0832706799 -7.554771e-02 -0.0193561022  0.028663942 -0.1110564805 -0.1260283484  0.0495897253
## stat195   0.0878498321 -0.0021698965 -2.232820e-02  0.0582565274  0.071148377  0.0212117867 -0.0413084642  0.0954928468
## stat196   0.0693732304 -0.1315433174 -1.441643e-01 -0.0391968354  0.121741910  0.0107272614  0.0858846206 -0.0079117903
## stat197   0.0123211019 -0.0245632464  1.864074e-02 -0.0350972463 -0.027035756  0.0604536864  0.0836033933  0.0787779411
## stat198  -0.0418870609  0.0130855457  7.697215e-02  0.0634612904 -0.067318765 -0.0306610681 -0.0496563427  0.0050006167
## stat199  -0.0163144228 -0.0699876821  4.683056e-03  0.0096579433  0.013932248 -0.1158681440  0.0090761052 -0.0815091389
## stat200  -0.2158319112 -0.0563634114 -5.433577e-02  0.0355648567  0.002259747  0.0461891299  0.0276396010  0.0351963646
## stat201  -0.0928647334 -0.1210188469 -7.927109e-02 -0.0008101516 -0.078048767 -0.0754392012 -0.0125612396 -0.1013634509
## stat202   0.0367698786 -0.0230093311  1.086220e-02 -0.0832841197  0.002777692 -0.0301542917 -0.1141481500 -0.0108407895
## stat203  -0.0949158461  0.0508249954 -3.531896e-03  0.0362882528  0.073006821 -0.0797245718 -0.0924887597 -0.0483809214
## stat204   0.1024730416  0.0814795703 -5.866419e-02  0.0295877542 -0.090493029  0.0049671772  0.0419363996  0.0065916631
## stat205  -0.0005672073  0.1062068626 -5.899138e-02 -0.0746438696 -0.042025336 -0.0531866931  0.1620495558 -0.0527644812
## stat206   0.0136561622  0.0945268788  3.121541e-02  0.0387065305 -0.070186287  0.0698139266 -0.0048186440 -0.0660416679
## stat207   0.0939493031  0.0262703802 -1.816714e-02 -0.0713033150 -0.027031413  0.0961554265  0.0370698516  0.0406997762
## stat208  -0.0428283774 -0.0700721037  7.300518e-02  0.1015762346 -0.023007575 -0.0045117022 -0.0084084342 -0.0707380779
## stat209   0.1183554709  0.0272563012  1.093912e-02 -0.0559290790  0.005504855 -0.0411167281 -0.0964825750 -0.0072316382
## stat210   0.0272893047 -0.0086000788  8.692125e-03  0.0580600502  0.167347517  0.0743225072 -0.1371051098  0.0411869618
## stat211   0.0264770566 -0.0664766550 -3.565803e-02 -0.0467362643  0.090578314  0.1182763524  0.0333062013 -0.0514381817
## stat212   0.0898802556 -0.0453276510 -1.111275e-01  0.0698470078  0.084472583  0.0387849917  0.1038163283  0.1063562926
## stat213  -0.0059341937 -0.0017752262  1.107385e-02  0.0059890997  0.121915953  0.0955665138  0.0581843096 -0.0606397484
## stat214   0.0234265951  0.0659930408  1.138938e-02  0.0225315935  0.089335130 -0.0490905079 -0.0600830675 -0.0204647023
## stat215  -0.0242030610 -0.0880144366  5.369548e-02  0.0302773883 -0.016484151 -0.0270921131  0.0114973054 -0.1496836179
## stat216  -0.0309564172  0.1333455893 -1.518291e-02  0.0267822688  0.039177595 -0.0267134440 -0.0633021980 -0.0922432451
## stat217   0.0285076931 -0.0333076079 -2.139723e-02 -0.0050082731 -0.018723571  0.0872788922  0.0284881314 -0.0710525537
## x18.sqrt -0.0996322251 -0.0338174472  3.529009e-04  0.0046126935  0.034565242  0.0508555441  0.0401309171  0.0527512457
##                  PC116         PC117         PC118         PC119         PC120         PC121         PC122
## x1        1.029064e-01  5.138395e-02  3.713336e-02  0.0099745300  0.0467139057 -8.520062e-02 -0.0260430684
## x2       -6.879421e-02 -1.885099e-02 -1.523404e-01 -0.0255948033  0.1050226911 -1.457068e-02  0.0550735055
## x3        1.306200e-01 -6.606171e-02 -9.400770e-02  0.0339434708 -0.0196067696  4.487780e-02 -0.1037947468
## x4        1.373935e-02  2.147495e-02  7.612654e-02  0.0321118158 -0.0198389243  6.981591e-03  0.0404564288
## x5        4.630060e-03 -1.599968e-02  4.868830e-02 -0.1007390289  0.0746038207  1.263024e-01  0.0939180416
## x6       -8.703112e-02 -1.238996e-01 -2.559504e-02  0.1172910025  0.0484259302  2.739649e-02 -0.0192804449
## x7        1.474896e-02  1.294911e-02 -2.020397e-02  0.0086038260  0.0013564238 -3.662154e-02  0.0783900255
## x8        7.926387e-02  9.374039e-03  2.034745e-02 -0.0007295886  0.1394637271  6.243093e-02  0.0964509267
## x9       -5.654704e-02  9.158179e-02 -7.740254e-02  0.0313115291  0.0408149271 -4.627991e-02  0.1007916924
## x10      -6.998126e-02 -2.655757e-02  3.941803e-02  0.0593100355 -0.0041942685  1.395663e-01  0.0030401504
## x11       2.966573e-02 -9.527732e-02  3.604316e-02  0.0381327025 -0.1034862832 -3.015726e-02 -0.0167843866
## x12      -8.073979e-02 -1.978190e-02  6.945523e-02  0.0103526518 -0.0459484963  6.665177e-02 -0.0228528925
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## stat122   9.241419e-02 -3.738313e-03  8.267996e-03  0.1299542313 -0.0913180504 -2.713744e-02 -0.0537300640
## stat123   1.223250e-01  2.629607e-03  7.219879e-02 -0.0049931615 -0.0082157365  2.855461e-02 -0.0252980398
## stat124   5.833101e-03 -3.157790e-02 -2.962278e-02  0.0764965954  0.1700964298 -2.945611e-02  0.1215348479
## stat125   3.733499e-02  3.986406e-03 -7.080308e-02 -0.0458393243  0.0435815646 -8.006921e-03 -0.0164251076
## stat126  -1.532349e-02  9.013583e-02  1.531348e-02  0.0756399648 -0.0294748571 -8.337995e-02  0.1014431159
## stat127  -1.443156e-02  1.592630e-01 -1.644120e-03  0.0174519905 -0.1036812413 -6.348578e-02  0.0468331203
## stat128  -3.390635e-03 -7.162016e-02  3.301987e-02  0.0902996074  0.0288478154 -2.684706e-02 -0.0472352497
## stat129   9.982739e-02  5.804056e-03 -6.961510e-02 -0.0347315685  0.0070950280  1.633307e-01 -0.0274624952
## stat130   2.836770e-02  2.137449e-02 -4.334288e-02 -0.0572267374  0.1225945912 -3.595102e-02 -0.0146625603
## stat131  -2.889146e-02 -1.238480e-02  5.375848e-02 -0.1320059761  0.0655998855  5.196819e-02 -0.0342227112
## stat132  -6.634189e-02  5.473302e-02 -1.178044e-01  0.0694672810  0.1434469761 -8.335034e-02  0.0333618875
## stat133  -4.876340e-02  3.560030e-03  1.306762e-01 -0.0379858920  0.0379689526 -5.448828e-02 -0.0460842216
## stat134  -8.333476e-02 -2.471369e-02  6.936312e-03 -0.0005571018 -0.0936026911 -3.617416e-02 -0.0064761464
## stat135   9.529286e-02  1.487938e-01  8.533755e-03  0.0423526559 -0.0173891673 -2.815976e-02 -0.0994203761
## stat136   3.277259e-02 -3.745819e-02  1.036579e-01 -0.1660652572  0.1012500645 -6.857789e-02 -0.0028260892
## stat137  -1.680729e-02 -5.397586e-02 -6.034752e-03  0.1410371455  0.1285185284  1.943179e-02 -0.0553406958
## stat138   2.870661e-02 -3.559847e-02  1.379185e-01  0.0387136371 -0.1372045934 -1.794821e-02 -0.0337070307
## stat139  -7.983921e-02  1.907750e-02  1.115644e-01  0.1478511219  0.0799577271  1.671836e-01  0.0321533065
## stat140  -4.655110e-02 -3.959812e-02 -2.691918e-02  0.1059141412 -0.1224737139 -4.891287e-02 -0.0841960376
## stat141   2.503539e-02 -7.531127e-02 -4.401349e-02 -0.1158081482  0.0425986245  4.044378e-05 -0.0079079623
## stat142  -1.616417e-02 -6.862005e-02 -3.040056e-02 -0.0221626575  0.0128377244  1.411138e-03  0.1378901072
## stat143  -1.685077e-02 -1.710225e-01 -5.447196e-02 -0.1082754746 -0.1179898787 -1.333343e-01  0.0480324223
## stat144  -4.662085e-03  5.356559e-02 -4.990062e-02  0.0561966882 -0.0266179699  3.468802e-02 -0.0707176869
## stat145   2.715519e-02  8.302206e-02  2.941083e-02 -0.0253965400 -0.0171804744 -2.992416e-02  0.0828676576
## stat146  -3.010765e-02  6.764040e-02 -1.359901e-01 -0.1192043917 -0.0461058238 -2.888392e-02 -0.1101751013
## stat147   4.773999e-02  1.028794e-01  4.577101e-03  0.1316415950  0.0543593269 -1.837443e-02  0.0325832483
## stat148  -5.851202e-02 -1.558339e-02 -6.246197e-03  0.0265343933 -0.0783539243 -1.634494e-01 -0.0552182044
## stat149  -7.149900e-02  1.953970e-02  1.085678e-01  0.0249315198 -0.0317748491 -1.993716e-02  0.0483097167
## stat150   2.240418e-02  3.687653e-02  5.071415e-02  0.0391477887 -0.1014887800  2.004675e-02 -0.0086305249
## stat151  -7.992609e-02 -7.028445e-02  2.602434e-02 -0.0469535394  0.0774601925 -1.637408e-01 -0.0062665362
## stat152   1.627976e-01 -4.641489e-02  3.911070e-02  0.0272155133  0.0014156890 -1.288796e-01 -0.0283066338
## stat153   9.512375e-04 -7.283241e-03  7.771099e-02 -0.0283128723  0.0206963493 -9.501886e-02  0.0655018599
## stat154   6.293990e-02 -4.589279e-02 -6.931621e-02 -0.0855573889  0.0108430499 -1.071967e-02  0.0930533924
## stat155   3.844721e-02  3.469107e-03 -8.566693e-02 -0.0036413994  0.0454184138  2.189041e-02  0.0422502626
## stat156   5.780864e-02 -7.288096e-02  6.449630e-02  0.0829705201 -0.0491475023  1.233803e-03  0.1354642048
## stat157  -7.887734e-02  6.429592e-02 -3.227017e-03 -0.1075410834  0.0274304836  1.500263e-01  0.0454480003
## stat158   5.726027e-03  3.896375e-02 -1.568350e-02  0.0486321393 -0.0872196144 -2.153780e-02  0.0423950892
## stat159  -2.346283e-02 -1.566209e-02 -5.849262e-02 -0.0115100394  0.0440108963  4.334646e-02 -0.0179397420
## stat160  -7.667090e-02 -1.814067e-02 -2.163531e-02 -0.0516322836  0.0800392050 -1.149019e-01 -0.0190133378
## stat161   6.382076e-02 -2.434793e-03  1.655864e-02 -0.0855946583 -0.0791199715 -6.458522e-02  0.0176274379
## stat162   7.729734e-02 -4.350045e-02  2.952742e-02 -0.1038020830 -0.0892499799  3.336608e-02  0.0150787268
## stat163   1.534071e-01  2.229165e-02  1.599348e-02  0.0893200887  0.0126913204  5.065943e-03 -0.0314565872
## stat164   5.463179e-02  2.025140e-02  2.910979e-03  0.0690157072 -0.0206925480  1.586960e-02 -0.0818383591
## stat165   5.859955e-02 -4.683146e-02  8.429942e-03 -0.0158412016 -0.0570359729  5.516849e-02  0.0098619064
## stat166   4.324791e-02 -1.896447e-02 -1.503452e-02  0.0331186883 -0.0672389857 -6.527817e-02 -0.0490048777
## stat167   1.029845e-01 -4.309649e-02  2.603540e-02  0.0870299843  0.0759881900  1.351982e-02 -0.0550184620
## stat168  -5.096799e-02 -4.229501e-02  6.456864e-02  0.0028385322  0.0035751833  3.889460e-02 -0.0033117975
## stat169   3.004547e-02  4.285285e-02  1.924892e-02 -0.0851925152  0.0206456006  2.366443e-02 -0.0902071369
## stat170   6.117075e-02 -5.850123e-02 -1.759671e-01 -0.0087824504  0.0449090480  4.618136e-02  0.0054147749
## stat171   1.166235e-01 -2.492129e-02  2.165803e-03 -0.0809576990 -0.0528671418 -2.796199e-02 -0.0458556717
## stat172   9.795738e-02 -1.157447e-02 -4.909025e-03  0.0774561373  0.0193574433  5.548632e-02  0.0480979079
## stat173  -4.526397e-02 -5.071960e-03 -3.958716e-02 -0.1597186938  0.0206946928  1.000433e-01 -0.0775826276
## stat174   2.571478e-02  1.012093e-02 -5.772482e-02 -0.0367160718  0.0490427254 -2.156431e-03 -0.0632058480
## stat175  -8.123230e-02  5.846845e-02  7.722676e-03  0.0229975044 -0.0755293491  9.009767e-02  0.0167971342
## stat176   1.110776e-01 -1.788168e-02  2.512569e-02 -0.0541772172 -0.0335190927  4.286250e-02 -0.1016260493
## stat177  -4.417977e-02  1.066791e-01  6.880400e-02 -0.0122767790  0.0101720923  6.957115e-02  0.0666644385
## stat178  -8.910576e-03 -4.692239e-02 -1.277483e-02  0.0364365954 -0.0195496474 -9.436637e-02 -0.0599688414
## stat179   1.635730e-02  2.357277e-02 -1.485970e-02 -0.0513988880  0.0538482404 -4.704739e-02  0.0694286149
## stat180  -9.243581e-02  5.510686e-02 -8.600037e-02  0.0689133452  0.0126094309 -2.465060e-02  0.0309148059
## stat181  -4.334070e-02  1.531033e-02 -6.816732e-02  0.0059452133 -0.0159273759  7.096994e-04 -0.0530597577
## stat182  -1.539129e-01  4.302912e-03  4.282696e-02  0.0707434271  0.0179038526  4.709387e-02 -0.0320796206
## stat183   1.138860e-02  1.942690e-01  1.337353e-01 -0.0576128866  0.0071852962 -5.310688e-02  0.0578905448
## stat184  -9.045114e-02  1.286700e-02 -5.482329e-04  0.0221432307 -0.0646417872  6.243844e-02  0.0464058456
## stat185   2.763845e-02 -2.618596e-02  8.705826e-02 -0.0323271573  0.0713851885  3.156109e-02 -0.0352216969
## stat186   6.840614e-02  1.172624e-01 -3.805098e-02  0.0019354935  0.0762404712 -2.160270e-02 -0.0304642422
## stat187   4.554031e-02  6.396495e-02 -8.946138e-02 -0.0479658529  0.0010054712  7.990540e-03 -0.0527045269
## stat188   9.703954e-02  6.384407e-02  3.627120e-02  0.0345137231  0.0764200008  1.563544e-02 -0.0190079629
## stat189   5.098385e-02  3.782170e-02  9.684509e-02 -0.0412244949  0.0193836084  7.398973e-02  0.0130716222
## stat190  -6.412453e-02  5.042219e-02 -9.852566e-03 -0.0630014653 -0.0827442985  4.005812e-03 -0.0554806557
## stat191   5.735349e-02 -7.353435e-02  3.200229e-02 -0.0053673015 -0.1467263924  9.764281e-02  0.0137203114
## stat192  -2.740340e-03  6.249802e-02 -1.037251e-01  0.0132056684  0.0417416896  2.249189e-02 -0.0566938734
## stat193   4.715692e-02 -7.792026e-02 -1.183308e-01  0.0423956181  0.0799504477  7.852219e-02 -0.0142835072
## stat194  -2.136560e-02  2.430358e-02  5.702615e-02  0.0266989253 -0.0219910506  7.111436e-02 -0.0715756039
## stat195  -3.612977e-02 -1.260626e-01  2.243577e-02  0.0198932400  0.0019681016  1.735444e-02 -0.0421982730
## stat196   1.002251e-01  2.756784e-02  6.659104e-02 -0.0246456749  0.0229098857  1.117958e-02  0.0745895169
## stat197  -4.390028e-02 -4.530023e-02  4.911843e-02  0.0040433860  0.0775890615 -1.077903e-01 -0.0189178915
## stat198  -6.292873e-02  1.830655e-01 -1.112059e-02  0.0019725734  0.0184299552  5.177177e-02 -0.1119121528
## stat199   7.529373e-02 -4.913043e-02 -4.924800e-02 -0.0372358987 -0.0466345680 -5.458671e-02  0.0672107395
## stat200   4.193112e-02 -3.314441e-02  2.611195e-02  0.0578846557  0.1245453028 -4.157974e-02  0.0464657335
## stat201  -3.144632e-02 -1.265322e-02 -6.573122e-02 -0.1189564629 -0.0503651634 -3.003154e-02 -0.0336494548
## stat202  -5.799424e-02  4.742870e-02  6.010521e-02 -0.0614236530 -0.0615833139 -8.561159e-02 -0.0536981489
## stat203   1.454730e-02  1.023605e-01  2.771177e-02 -0.0494850649 -0.0098263275 -5.203940e-02  0.0466816358
## stat204   1.515744e-01 -3.365658e-02 -1.159161e-01 -0.1036756905 -0.0809890194 -5.103100e-03 -0.0832683965
## stat205  -7.068634e-03 -3.279163e-02  2.426361e-02  0.0608568361  0.1244595562  5.495592e-02 -0.0138859626
## stat206   8.492939e-02  9.390314e-02 -8.309594e-02 -0.0785431091  0.1040820964  2.724403e-03  0.0875728629
## stat207  -6.726557e-02  1.060917e-01 -3.271184e-02  0.0075447973  0.0921101519  2.118052e-02 -0.0084318388
## stat208  -4.714125e-02  7.409136e-02  3.989869e-02 -0.0239833845  0.0076149134 -6.968663e-02 -0.0729802381
## stat209  -3.377742e-02  1.064836e-01  4.433674e-02  0.1243146149  0.0887829511 -7.795122e-02 -0.0046344895
## stat210   6.599219e-02 -4.046370e-02  6.292584e-02  0.1242112111 -0.1847081941  1.018574e-02  0.0308850812
## stat211  -7.063052e-02 -1.400857e-02 -6.030816e-02 -0.1015680139  0.0659202742 -7.855956e-02 -0.0154181554
## stat212  -4.911286e-02 -9.908565e-02 -8.483362e-02  0.0037795513  0.0781260713 -1.279525e-02 -0.0298472492
## stat213  -4.151699e-02 -3.597174e-02  6.546735e-03 -0.0156344730 -0.0288294296 -1.146252e-01  0.0482307283
## stat214  -8.510704e-02 -1.995543e-02 -6.982043e-03 -0.0067722936 -0.0057301765  4.763020e-02 -0.1824879182
## stat215   1.961934e-02 -2.236660e-02 -3.501045e-02  0.0851365761  0.0703794889 -1.840186e-02 -0.0476948894
## stat216  -3.596620e-02 -5.752430e-04 -2.935201e-02  0.0272124926 -0.0015061526 -4.170322e-03  0.0659921566
## stat217   6.129460e-02  9.498889e-02  8.931276e-02  0.0072781050 -0.0328575422 -3.414822e-02 -0.0899649647
## x18.sqrt  2.845278e-02 -1.463763e-02  5.561808e-02 -0.0940033296  0.0144982516  6.897948e-02 -0.0344173655
##                  PC123         PC124         PC125         PC126         PC127         PC128         PC129
## x1       -0.1466727345  0.0217783966  0.0810876666  0.0291498544 -0.0005596897 -0.0394794982 -0.0012215867
## x2        0.0216370857 -0.0170308208  0.0737020185 -0.0721198719 -0.0737927868  0.0556338177  0.0167557133
## x3       -0.0018697924 -0.0236314426  0.0150238426  0.0655364442 -0.0219571731 -0.0442829524 -0.0389821614
## x4        0.0191551981  0.0535437952 -0.0483351010 -0.0526388614  0.0717091467  0.0112620395  0.0423137555
## x5        0.0402052694 -0.0612678398  0.0496285519  0.0798337453 -0.1155991570  0.0033447058 -0.0754614924
## x6       -0.0951677410  0.0491776947  0.1722009366  0.0983602150  0.0140384346  0.0204783050 -0.0543032218
## x7        0.0347578630 -0.0349292576 -0.0151070986 -0.0276237384  0.0122944002  0.0820051335 -0.0045975377
## x8        0.0653072349  0.0239477142 -0.0990932093  0.0593847198  0.0026462311 -0.0650732703 -0.0930886514
## x9        0.1030203518  0.0720910463 -0.1023886281  0.0414887255  0.0212240722 -0.0628862144 -0.0657581169
## x10       0.0503052565 -0.0050652919 -0.1194283462 -0.0333701186 -0.0930769582 -0.0135074038  0.0422506254
## x11      -0.0375358123 -0.1041184887 -0.0102187728  0.0548254465 -0.0250658802  0.0242310933  0.0189132473
## x12       0.0656916063  0.0894700536 -0.0106030866  0.0273199954 -0.1509052705  0.0624781255  0.0817118978
## x13      -0.0428479295 -0.1141124833  0.0692913610 -0.1001307816  0.0035840192 -0.0678156511  0.0034776972
## x14       0.0772666508  0.0674894037  0.0254579422 -0.0299259625  0.0186411914  0.1080854602 -0.0875701884
## x15      -0.1207257857 -0.0417952857 -0.0240192374 -0.0297251017 -0.0415181859 -0.0027214689 -0.0017738927
## x16      -0.0192349097 -0.0294448903 -0.0929691278 -0.1491542932 -0.0504198000  0.1068126232 -0.0593078455
## x17      -0.0128696609  0.0351782505  0.0288101212 -0.0027854738 -0.0736211003  0.0124950838 -0.0083492686
## x19       0.0317152069  0.0126869336  0.0217881635 -0.0131556892  0.1104877802 -0.0567145193  0.0802752363
## x20       0.1254423414  0.0095784085  0.0321225865  0.0187685093  0.1059363087  0.0384020944 -0.0760526393
## x21       0.0557211421  0.1303887114 -0.0827396883  0.1147535491 -0.0341360835  0.0096887891 -0.0318606954
## x22       0.0660395928 -0.0690616507 -0.0340622152  0.1150938467  0.0487636948 -0.0172824766 -0.0790619419
## x23      -0.0377054955  0.0856224250  0.0048763981  0.1188054564 -0.0219215399  0.0457428882 -0.0288310818
## stat1    -0.1361499893 -0.1035211491  0.1437255521  0.0372629290  0.0373508056  0.0246179565  0.0056167008
## stat2     0.0078915555  0.1475641285  0.0276294131 -0.1339122980 -0.0239891611  0.0194606169 -0.0639788296
## stat3    -0.1369266072  0.0614315900  0.0602314053 -0.1111314789  0.0266964374  0.0083494950  0.0129955502
## stat4     0.0181560216  0.0683627609 -0.1229866181  0.0212214229 -0.0540947612 -0.0735896302  0.0436604209
## stat5     0.0899755942 -0.0216495156  0.0327997664 -0.0527390369 -0.0329365783 -0.0136136222  0.0603576402
## stat6    -0.0081355128  0.0569865141  0.0101887975  0.0321476858 -0.0401537019 -0.0287117334 -0.0413994645
## stat7     0.0234557574 -0.0575434294  0.0260009518 -0.1114830699  0.0482854137 -0.0136537998 -0.0162010147
## stat8     0.0029392980 -0.0012809965 -0.0408914262 -0.0424510846  0.0353779515  0.0753356432 -0.0157254625
## stat9    -0.0394547405  0.0437301109 -0.0074373307  0.0193552335  0.0790708597  0.0702470894  0.1204556541
## stat10    0.0477782623 -0.1267384800 -0.0437338059  0.1267646277  0.0320827936 -0.0948993404 -0.0139901114
## stat11    0.0025534944  0.0509757636  0.0477929448  0.0232577352 -0.0197946503  0.0294926303 -0.0028994477
## stat12    0.0309958394 -0.0524876706 -0.0638570767  0.0476021968 -0.1223405549 -0.0152811379  0.0031157016
## stat13    0.1093747884 -0.0521001478 -0.0038942428 -0.1246386121  0.0512874736 -0.0449756739 -0.0090238304
## stat14    0.0305874521 -0.0131378757  0.0614986111  0.1130063061 -0.1090508398 -0.0843038024  0.0314310419
## stat15   -0.0556579601  0.0420120825  0.0571898883  0.0535693993  0.0850861982 -0.0443935222  0.0369944153
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## stat160   0.0182410272 -0.0429857429 -0.0803597777 -0.1294413996  0.0594312447 -0.0405765636 -0.0834233780
## stat161  -0.0518586674  0.0108609296  0.0032842914  0.0638052925  0.0071648680  0.0160926242 -0.0409319854
## stat162   0.0820769436 -0.0757032779 -0.0152123590  0.1228999249 -0.0089408298 -0.0837832701 -0.0146640694
## stat163   0.0738061023 -0.0495920622 -0.0713449771 -0.0258582586 -0.1261708354 -0.0020128257 -0.0472625746
## stat164   0.0517559408 -0.0397981935  0.0557040907  0.0395184845 -0.0971673013 -0.0434634661 -0.0148459941
## stat165   0.0571908871 -0.2092324936 -0.0257433219 -0.0986385585  0.0561939301  0.0562359674  0.0383033932
## stat166   0.0105174071 -0.0075355624 -0.0664580813  0.0744910584  0.0168921354 -0.0688860920  0.0149641798
## stat167   0.0022229510 -0.0772090026  0.0889799184  0.0190130895  0.0629140251 -0.0546445506 -0.0855419686
## stat168  -0.0434168462 -0.0619027926 -0.0421265113  0.0275451962  0.0581632898  0.0065157993 -0.0453460726
## stat169   0.0467537075 -0.0119483731  0.0078104136  0.0315850991  0.0667273996  0.0237311755 -0.0614093243
## stat170   0.0973764647 -0.0118137423 -0.0638406764 -0.0062327866  0.0546424930  0.1303510190  0.0335876455
## stat171   0.1488706420  0.1413096840  0.0724014004  0.0021063212  0.0214108962 -0.1187183009 -0.0549386029
## stat172   0.1267997468  0.0404181625  0.0137014568  0.0517290367 -0.0430759584  0.1619731733  0.0609299171
## stat173  -0.0525459517 -0.0212688020 -0.0862870881  0.0495134808  0.0525148327  0.1801941588  0.0102023788
## stat174  -0.0737377436  0.0104030977  0.1134743811 -0.1094983160  0.0143610371  0.0282667872 -0.0656138964
## stat175   0.0682307294  0.0233634293 -0.0090318772 -0.1397522124  0.0319141556 -0.0006465720 -0.0726044378
## stat176   0.0772977471  0.0213133296  0.0336962440  0.0265225939  0.0202839520 -0.0312308408  0.1260035010
## stat177  -0.0724731956 -0.0694242647 -0.0069856353 -0.0179324355 -0.1570646563 -0.0593073069 -0.1115764831
## stat178   0.0285920712 -0.0297030636 -0.0090089079 -0.0048432143  0.0406874046 -0.0207345578 -0.0817872444
## stat179  -0.0534741248 -0.0994261199  0.0445022478  0.0507309366 -0.0488359371 -0.0027717304  0.0746674037
## stat180   0.0061000924  0.0294242549  0.0447473834  0.0378215965 -0.0082988535  0.0033305939  0.0016287658
## stat181  -0.0395453754 -0.0557833314  0.0794363793 -0.0416357477 -0.0027041135  0.0125049569  0.0442997184
## stat182  -0.0127615287 -0.0903217569 -0.0280981967 -0.0915371154  0.0532228598  0.0195275828 -0.0804468003
## stat183   0.0738787838 -0.0648888289 -0.1098775123  0.0102951916  0.0488846117 -0.1786093157 -0.0603866981
## stat184  -0.0330501946  0.0857946192 -0.0962987500  0.1730905187 -0.0102491989  0.0819884402 -0.0798078399
## stat185   0.1243427285 -0.0016378874  0.0133693517 -0.0617959857  0.0270958538  0.1226580658  0.0595438221
## stat186  -0.0100175013  0.0207586483  0.0297244123 -0.0155396209  0.0066445036  0.0680734250 -0.0204738891
## stat187  -0.0423800795  0.0304942507 -0.0806496816  0.0527762530  0.0718254708 -0.0428598137  0.0031108082
## stat188   0.0133687993  0.0529481252  0.1435351033  0.0229496518 -0.0722540745  0.0163741347  0.0371235387
## stat189   0.1045540036 -0.0053527185 -0.0828235077  0.0070875889  0.0756806892 -0.0252590965  0.0973141888
## stat190  -0.1194713136 -0.0379059886 -0.0242410196 -0.0572890660  0.0537590193 -0.0464730536 -0.0334466927
## stat191   0.0588819092  0.0467513030  0.0376390628 -0.0019501665 -0.0394395540  0.1062820669  0.0054995995
## stat192  -0.0776191660  0.0255651915 -0.0316944317 -0.1113782917  0.0935713774  0.0444953292  0.0492321126
## stat193  -0.0225323402  0.1603727408  0.0082107397  0.0012805383 -0.0835397386  0.0489504304  0.0280200668
## stat194   0.1160268901  0.0202715972 -0.0007353440  0.0081814947 -0.0224673081  0.0301294923  0.0872421579
## stat195  -0.1008164750 -0.0468795117 -0.0621313966 -0.0197513455 -0.0100878085 -0.0419647267  0.0971525564
## stat196  -0.0115704980 -0.0516165111 -0.0800682819  0.0790054035  0.0913483457  0.0769104391 -0.0241228008
## stat197  -0.0343993732 -0.0017140658  0.0560587976  0.0681325388  0.0145414298  0.0239063532  0.0665169957
## stat198   0.0624205209  0.0622807310  0.0578290883 -0.0808890345 -0.0370843540 -0.0120539518  0.1521498358
## stat199  -0.0537706942 -0.0976875308 -0.0761505015 -0.0491734927  0.1227400754 -0.0318009950 -0.0689564293
## stat200  -0.0475203775  0.0443016633 -0.0316939799  0.0517962327 -0.0026234215 -0.0290359326  0.0936858685
## stat201  -0.0411421623 -0.0309572742  0.1072180792  0.0821767471 -0.0652235532  0.0837978066  0.0320140239
## stat202  -0.0447964180  0.0997365030 -0.1443894818  0.0094941892 -0.1128647402  0.0833270601  0.0331646890
## stat203  -0.0535435602  0.0222826842 -0.0311753609  0.0447059838 -0.0233205733 -0.0125130956  0.0262247974
## stat204   0.0191485345  0.0253046249 -0.0171546398 -0.1065506157 -0.0912429535 -0.0683157317 -0.0964281252
## stat205  -0.0662936445 -0.0562072125  0.0360376690  0.0177437856 -0.0012356673 -0.0713347490 -0.0569156616
## stat206   0.0732528728  0.0088071193 -0.0696187527  0.0175326976 -0.0182216193  0.0009339304 -0.0022154720
## stat207  -0.0955634731  0.0107256385 -0.0717515850  0.0099371491 -0.0336810477 -0.0505526844 -0.0926313045
## stat208   0.0309000430  0.0223850689 -0.1193192149 -0.0571003193 -0.0114906141 -0.0356980882  0.1540364274
## stat209   0.0650435613 -0.0948545995  0.0613447083 -0.0689457094 -0.0472757123  0.0449905111 -0.0165630039
## stat210  -0.0371574969  0.0856267901  0.0403304297 -0.0527646816 -0.0298002883 -0.0030825228 -0.0285620638
## stat211  -0.0150316996 -0.0045894570  0.0422564333  0.0324041705 -0.0808254724  0.0591759235  0.0158159398
## stat212   0.1982150047  0.0465877891  0.1068364405 -0.0247648457  0.1021495336  0.1236551279 -0.0633462724
## stat213   0.0386645604 -0.0100509317  0.0138161086  0.1787482892  0.0845681795  0.0449098681  0.0701565092
## stat214   0.0350850695  0.1100569539 -0.0072591386 -0.0863204656  0.0435335700 -0.0727137292 -0.0016530054
## stat215  -0.0583959287  0.1306960665  0.0214502754  0.0212774167  0.0009263923  0.0207210742 -0.0692335053
## stat216  -0.0571293699  0.0024610971 -0.0349787546 -0.0257621034 -0.0802394375 -0.0006698722  0.0854756585
## stat217   0.0332662175 -0.0637881118  0.0323158244  0.0054615887 -0.0479319739  0.0552246196  0.1203085993
## x18.sqrt -0.0310671266  0.0054055235  0.0132387709 -0.0665892583 -0.0129177753  0.0819659675  0.0897087640
##                  PC130         PC131        PC132         PC133         PC134         PC135         PC136         PC137
## x1       -0.0122435711 -0.1150197623  0.167100624  0.0781542582 -2.913900e-02 -1.058575e-01 -5.168331e-02  0.0519673692
## x2       -0.0056845423 -0.0669938145 -0.016114745 -0.1214761865  1.701150e-02  8.419526e-02  9.415737e-02 -0.0152730634
## x3        0.0283933193  0.0090545276  0.001132293 -0.0043658225 -1.737403e-02  1.315512e-01  1.548502e-01 -0.0918879095
## x4        0.0094282221 -0.0556675759  0.006094648 -0.1121944517  2.005576e-02  1.473551e-02 -1.706429e-01  0.1097041867
## x5       -0.0258845424  0.0754290069 -0.057108008  0.0673380318 -1.241605e-01  1.267832e-01 -6.504313e-02  0.0657395022
## x6        0.0147134019  0.0438380467 -0.053143359 -0.0253906394  7.874087e-02  2.846936e-02 -1.076298e-01 -0.0562963082
## x7        0.1400008921  0.0718312992 -0.090657345 -0.0112787230 -5.697941e-02 -1.064281e-01 -1.379646e-01  0.0439202367
## x8       -0.0563006809 -0.0253770082  0.110916899 -0.0584737169 -3.441408e-02 -2.976680e-02  4.271953e-02 -0.0424628644
## x9       -0.0943263070 -0.0739623229 -0.011471989 -0.0031105242  5.252871e-04  4.749516e-02  9.638043e-02  0.0397814132
## x10      -0.0692398993 -0.0215935005 -0.159317704  0.0649483688 -2.927641e-02 -9.137692e-02 -4.047677e-02  0.0020437121
## x11      -0.0569049915  0.0279205306  0.068067743 -0.0328427889 -1.697810e-02  5.362873e-02  4.057943e-02 -0.0065224750
## x12      -0.0630690005  0.0023779196  0.137460817 -0.0277818613  6.349535e-03  1.726978e-02  3.506419e-02  0.0715795565
## x13       0.0104664060  0.0121173704  0.055681480  0.0451438339 -5.086294e-02 -1.621141e-01  7.472724e-02 -0.0720826516
## x14      -0.0219661171 -0.0054644807 -0.024275140 -0.0023410435  1.851871e-02 -1.025533e-01 -5.389366e-02  0.0607259575
## x15      -0.0804579317 -0.0109551391 -0.004583242  0.0701196318 -9.275413e-02 -1.042252e-01 -2.897576e-02 -0.0659521214
## x16       0.0615305358 -0.0473228059  0.112957735  0.0511281571 -3.675766e-02  2.194120e-02 -1.481768e-01 -0.0394915042
## x17       0.1021341595  0.0996201693  0.038794524  0.0762696560  7.207867e-02  1.709223e-02 -4.407568e-02  0.1312535716
## x19       0.0229554405  0.0743153746 -0.042962696  0.0621677580 -8.403517e-02  8.373229e-02 -1.948845e-02 -0.0497970956
## x20      -0.0097382698 -0.1327077308 -0.009092890  0.0014452106 -5.699927e-02  4.046015e-02 -1.416244e-01 -0.0310691638
## x21       0.1057341673 -0.0589882900  0.084907638  0.0142577194  2.494129e-02  1.811109e-02  7.661961e-03  0.0501473546
## x22      -0.0090557061 -0.0227282084  0.010924040  0.0186564033 -1.936263e-03  3.166807e-02  3.978080e-02  0.0143756401
## x23      -0.0352543097 -0.0228881906  0.149811688  0.0316783089  5.062604e-03  7.827340e-02 -4.025817e-02 -0.1029811414
## stat1    -0.0443231316  0.0176495735  0.019369336  0.0266588247  8.635511e-02  9.799014e-02 -1.199062e-02  0.0519044197
## stat2     0.0344469601 -0.0270664030 -0.079364920 -0.0389402370 -3.804123e-02  3.632101e-02 -3.272202e-02  0.0954432981
## stat3     0.0793278972  0.0069752527 -0.022968907  0.0284668073  4.130303e-02 -9.883641e-03 -1.405550e-02 -0.0259529895
## stat4     0.0150077678 -0.0643214393 -0.014897070 -0.0251363109  5.318388e-02 -4.301789e-02  8.389940e-02  0.0161250297
## stat5     0.0725901621  0.1034920471  0.053206283  0.0202166706 -7.613012e-02  1.636248e-01  4.403422e-02 -0.0134249157
## stat6    -0.0770461480  0.0812904083  0.036560551 -0.1020119677  1.356952e-01 -6.769356e-03  1.860615e-02  0.0063081298
## stat7    -0.0349562766  0.0016834240  0.040400708 -0.0229677567 -6.606114e-02  9.294809e-02 -5.749556e-02  0.0844949678
## stat8     0.0443772810 -0.1172320073  0.038730567  0.1565985522 -2.036577e-02 -1.933542e-02  1.722457e-01 -0.0070458139
## stat9     0.1078890915 -0.0583975044  0.036389541 -0.1018982866  1.256296e-01  1.254216e-01  5.523082e-02  0.1070041897
## stat10    0.1244241082  0.0177137807 -0.021802315  0.1289512475  6.848176e-02 -6.154708e-02  8.834711e-03 -0.0167968351
## stat11    0.0843620194  0.0423950964  0.011662764 -0.0719133499 -6.707225e-02 -7.669350e-02  1.397846e-02 -0.0209228337
## stat12    0.0389370552  0.0137886041  0.023567588 -0.0250211200 -2.958534e-02 -4.446371e-03  2.963534e-02 -0.0260292324
## stat13   -0.0227374722 -0.0698269011 -0.121986209 -0.0457091919 -3.174136e-02  5.299091e-02 -4.999120e-05  0.0211629591
## stat14    0.1247613371 -0.0615011727  0.008717283  0.0002809407  8.072526e-02 -1.162222e-02  1.001219e-01 -0.0666552648
## stat15   -0.0212427669  0.0292811078  0.019723204 -0.0224155769 -3.928076e-03 -1.000202e-01  4.184276e-02 -0.0345796559
## stat16    0.0234744158  0.0461404603 -0.006578258  0.0445690342 -6.518769e-04 -5.317374e-02 -4.316711e-02 -0.0301068502
## stat17   -0.1333181341 -0.0740494733 -0.043801348  0.0145978345 -8.848203e-02  4.573602e-02  2.382162e-02 -0.0232846729
## stat18   -0.0651348791  0.0592968631 -0.049749163  0.1706491920  1.007166e-01 -2.252205e-02 -3.775677e-02 -0.0181704694
## stat19   -0.0208184260  0.0072664896 -0.079301718 -0.0111549963 -2.216114e-02 -7.472359e-02  2.660882e-02 -0.0920760714
## stat20   -0.0773702030  0.1203766095 -0.061661807  0.0300492127  6.416750e-02  1.039281e-02  1.867984e-02  0.0252427181
## stat21   -0.0004549668  0.1756748600 -0.129446039 -0.0409743665  3.573818e-02 -1.000453e-02  2.184794e-02 -0.0367600549
## stat22   -0.0253013028 -0.0047703359 -0.001460068  0.0562975204 -3.105761e-02 -2.269919e-02 -9.930919e-02  0.0535763631
## stat23   -0.0300945731  0.1070577789 -0.031077149  0.0766615222 -2.750645e-03  7.426011e-02  9.128822e-02 -0.0856792680
## stat24    0.0359103857 -0.0668738485 -0.059294129  0.1584263985 -6.662357e-03  2.559101e-02  5.817557e-02  0.0120822860
## stat25   -0.0777483858  0.0441787876 -0.140857763 -0.0038239437  9.015802e-02  1.125379e-01 -1.065021e-01 -0.0756907014
## stat26   -0.0334721951 -0.0123031641 -0.103802167  0.0514719429 -6.938245e-02 -1.547729e-02 -2.605499e-02  0.0649584341
## stat27   -0.0301700989 -0.0416900489  0.005152433 -0.0028830388  1.677623e-01 -5.491519e-02  7.139759e-03  0.0161771222
## stat28    0.0379976860  0.0005539713  0.044119765 -0.0059150238  5.954581e-02 -4.395089e-02  4.579569e-02  0.0288793673
## stat29   -0.0507380670 -0.0555707475  0.192982043  0.0631685963  4.635682e-02  3.262567e-03 -3.003864e-02  0.1356100995
## stat30    0.0148951605  0.0209989558 -0.009000649 -0.0455620213  9.958600e-02 -6.163404e-02  7.855482e-05  0.0587732257
## stat31    0.0424832245 -0.0575779045 -0.075271976  0.1416774195  6.872673e-02 -3.438771e-02 -6.090085e-02 -0.0466811917
## stat32    0.0569855206  0.0590514226  0.105204312 -0.0509219575  1.774890e-02 -5.001103e-02 -7.764796e-02 -0.1148700084
## stat33    0.0797873610  0.0140491463 -0.046148500  0.0929888397 -1.048949e-02  9.584672e-02  2.909762e-02 -0.0489315787
## stat34    0.0140901537 -0.0828778440 -0.117641331  0.0524027389 -2.965982e-02 -5.162902e-02  8.749841e-02  0.0313479508
## stat35   -0.0010936282 -0.0345517067  0.039884504  0.0511540559 -1.179798e-01  5.254118e-02  3.545535e-02 -0.0654238643
## stat36   -0.1633736565  0.0028377969 -0.115105005  0.0066433433 -3.226022e-02 -8.604750e-02 -5.031126e-02 -0.0186828023
## stat37   -0.0285294954  0.0611326674  0.131961357 -0.0742284679  9.784381e-02  4.606561e-02 -7.664826e-02  0.1170062616
## stat38   -0.0781510979  0.0367508872  0.048114567  0.1138505543  1.754278e-02  7.192976e-02 -3.235888e-03 -0.0319254201
## stat39   -0.0420977192 -0.0109804747 -0.023062948  0.0625885006 -1.510738e-03  5.516764e-02  1.718969e-02 -0.0942720826
## stat40    0.0001354056  0.0211029615  0.100206635 -0.0019850456  1.513472e-02  5.553690e-02 -6.441492e-02  0.0221801825
## stat41    0.0562858924 -0.0576259967 -0.022499272  0.0344173158  3.420070e-02 -3.835074e-02  4.788210e-03  0.1187833378
## stat42    0.0666057762  0.0549874113  0.124817654  0.0643283869 -5.122249e-02  1.050089e-03 -3.552403e-02  0.1081022304
## stat43   -0.0003708262 -0.0366527560 -0.017124030  0.0303722115 -3.834416e-02 -6.188461e-02 -4.054529e-02  0.0483638483
## stat44   -0.0199870489  0.0843211951 -0.035705301  0.0812273593 -3.796324e-02  3.453763e-02  8.007704e-02  0.0868616585
## stat45    0.0855665233  0.0334940772  0.072618999  0.0007946053 -8.154684e-02  5.340243e-02 -1.124935e-01  0.0144876804
## stat46    0.0019034369  0.0288724725  0.110690233  0.0243916220 -9.265102e-02  5.125463e-02 -2.091708e-02 -0.0553241471
## stat47   -0.1224590502 -0.0491146856  0.013088898 -0.0388745982 -1.530503e-02  1.014741e-02 -5.713897e-02  0.0481822105
## stat48   -0.0083714696  0.0315606312  0.148338371  0.0443243011  5.156286e-02 -1.230391e-01 -1.710826e-02 -0.0244150029
## stat49    0.0150146857  0.1706093847 -0.016064683  0.0220456728  9.619411e-03 -9.441825e-02 -3.689327e-02  0.0783514293
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## stat52    0.0930598423 -0.1154863691 -0.034036314 -0.0252345180  4.277438e-02 -5.234689e-02 -2.164260e-02 -0.0732961545
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## stat54   -0.0427807907  0.0047490621  0.014138302  0.0245493307 -7.086159e-02  1.275639e-01  7.051277e-02  0.0504424545
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## stat57    0.0094044212 -0.0993154354  0.125215579 -0.0073076705 -4.224728e-03  1.312042e-01  9.902085e-03 -0.0170881798
## stat58   -0.0231308701 -0.0250116587 -0.096112997  0.0347894244 -1.159765e-01  8.542266e-02  1.566075e-02  0.0025427944
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## stat72    0.0890999392  0.0087442959 -0.019972419  0.0329689452 -2.305085e-02  3.316459e-02 -6.697714e-03  0.1360385042
## stat73   -0.1180162213  0.0543915331 -0.050265686  0.0098155420  4.612490e-03 -5.219901e-02  4.777340e-02 -0.0804204910
## stat74    0.0766771319 -0.0509025193  0.040531963 -0.0246723741 -9.189872e-03 -2.584207e-02 -4.878093e-02  0.0137787475
## stat75    0.0666228368 -0.0647212737  0.057441602 -0.0597602029  8.345112e-02  3.930025e-02 -6.792346e-02 -0.0268817901
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## stat81   -0.0298444247 -0.0336970678 -0.004742177 -0.0075529922 -3.378656e-02  3.398841e-02  4.948001e-02  0.1389788338
## stat82    0.0086311680  0.0019280608  0.007989686  0.1019200718  1.306273e-01  7.090756e-02 -8.808919e-02  0.0354147967
## stat83   -0.0765843370 -0.0334958382 -0.006323412 -0.0555453980  8.330492e-02 -8.521136e-02 -1.265968e-01  0.0259506051
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## stat85   -0.0352327534 -0.1311957656 -0.041065975 -0.0088164876  7.965205e-02 -5.057915e-02  2.294117e-02 -0.0305847575
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## stat87   -0.0597036481 -0.0516237842  0.061563513 -0.0297610225  4.999622e-02  2.177302e-02  4.657223e-02  0.0859143364
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## stat93   -0.0587510813  0.0812275548 -0.079531575 -0.0274542551  3.039338e-02 -1.005550e-03  3.384834e-02  0.0732698565
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## stat96    0.0481999336 -0.0455983441 -0.079183249 -0.0173222535  2.463286e-01  3.308655e-02  7.981802e-03 -0.0548841247
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## stat111   0.1119735087  0.0998358482 -0.049822541  0.0128828701 -2.807143e-02 -8.561793e-02  4.916491e-03  0.0561516664
## stat112  -0.0184045866  0.1000471680  0.027841335  0.1260935722 -4.840120e-02  5.252913e-03 -9.865046e-02 -0.0157436584
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## stat114   0.0283163201 -0.0833000162  0.043261081 -0.0575015009 -8.773985e-02  2.463661e-05  5.843440e-03 -0.0243512295
## stat115   0.0772361647 -0.0828601133 -0.044338860 -0.0034614394 -1.029684e-02 -5.948281e-02  6.916959e-02 -0.0054397407
## stat116   0.0521198640 -0.0612789693  0.047038937  0.0032626923  4.764807e-02 -3.224798e-02  4.916861e-02  0.0292899723
## stat117  -0.0181787613  0.2014664639 -0.091209884 -0.0127225075  5.460914e-02  2.632255e-02  1.158198e-03 -0.0397949111
## stat118   0.1039803243 -0.0189358636 -0.004484443  0.0633602640 -8.819482e-02  3.884964e-03  8.475346e-02 -0.0038563334
## stat119   0.0232299041 -0.0229036520 -0.101364789 -0.0209995737 -2.256982e-02  9.115701e-02  6.842497e-02 -0.0019093771
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## stat121   0.0284838410  0.0597518859  0.036188542 -0.0424598925  1.068606e-01  5.625588e-03  1.423575e-02  0.1175505582
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## stat169  -0.1286589889 -0.1646460746  0.029729261  0.0207806988  4.777943e-02  7.921815e-02  3.960357e-02 -0.1149849877
## stat170  -0.1057052886  0.0556677296  0.060744116 -0.0194619779 -1.811376e-02  1.965353e-02  2.128103e-02 -0.0592479649
## stat171  -0.0247548455  0.0263121355 -0.047487591  0.0156641952  3.921312e-02  3.486856e-02 -3.770429e-03  0.1177751210
## stat172   0.0942161903 -0.0148473317  0.009817256 -0.0714946491 -8.290705e-02  6.817800e-02  5.969965e-02 -0.0068998095
## stat173   0.0014858035 -0.0741947721  0.091520867  0.0267818865 -4.650918e-03 -1.230748e-01 -2.768899e-02 -0.0402499415
## stat174  -0.0156933408  0.0513089339 -0.010784989 -0.0405632331  1.605226e-01  7.472017e-02  1.839033e-02  0.0040184653
## stat175  -0.0291904656  0.0548190610  0.015045315 -0.0130570560  3.759152e-02 -7.161173e-03 -9.359081e-02  0.0290624290
## stat176   0.0279452978  0.0470617943  0.016412473  0.0111620775 -4.328623e-02 -9.156157e-02  9.932930e-02 -0.0518365064
## stat177   0.0602887716 -0.0781170192 -0.103212117 -0.1936850346 -3.835936e-02 -2.083105e-02  5.724867e-02 -0.0431484295
## stat178   0.0012706469  0.0021464422 -0.063015349  0.0507827685 -1.308217e-01  1.393301e-02  5.006687e-02  0.1648675230
## stat179  -0.0296347376 -0.1552064724 -0.097790564  0.0659857713 -3.006387e-02  1.627600e-02  4.195392e-02  0.1357385587
## stat180  -0.1083737696  0.0466637322 -0.008872989  0.0270004919 -7.794673e-02  9.159004e-02  9.088480e-02  0.0380527576
## stat181   0.1131719856  0.1329652717 -0.012297425 -0.1044460387  1.093109e-01 -2.961842e-02 -3.823424e-02  0.1122246376
## stat182  -0.0094324379  0.0302302797  0.014804769  0.0230361392  1.315688e-04 -9.785690e-02 -1.029647e-02 -0.0453510024
## stat183   0.0094478315  0.1112686671  0.025922096 -0.0331844503  2.759549e-02 -1.026530e-01  5.444847e-02 -0.0294115659
## stat184   0.0183134032  0.0537535908  0.013646391  0.0387792370 -1.537081e-01  6.381233e-03  3.592255e-02  0.0698993120
## stat185   0.0495963766 -0.0181092200 -0.015833313 -0.0380456769 -5.548268e-02 -9.264066e-02  8.685998e-02 -0.1101043289
## stat186  -0.1067573093  0.0898832347 -0.096717826 -0.0455964561 -4.375905e-05 -1.486205e-01  4.059534e-02  0.0291415500
## stat187   0.0003531931  0.0558434796 -0.042652479  0.0484665068  1.395322e-02  4.934401e-02  6.218880e-02  0.1342817041
## stat188   0.0133526694 -0.0384736303  0.084288755 -0.0470431955 -1.105958e-02  6.659529e-03  3.109836e-02 -0.0280659990
## stat189   0.0245489201  0.0351046562 -0.052993535 -0.0202803267  6.515488e-03 -6.925434e-03 -3.015526e-02  0.0135789530
## stat190   0.0256456537 -0.0044512925 -0.061903525 -0.0220223429  4.971623e-03  1.377372e-02  2.672160e-03  0.0388630040
## stat191   0.1324107794  0.0419961405  0.054131106 -0.0771241755 -7.006321e-02  6.511164e-02  3.644349e-02  0.0463403167
## stat192  -0.0809799696 -0.0325237446 -0.035133607 -0.0108190573  9.380873e-02 -4.616205e-02  1.117996e-01  0.0011272353
## stat193  -0.0562799374 -0.0219124086  0.066915157 -0.0625624967  3.058592e-02 -4.194874e-02  4.765558e-02  0.1277355142
## stat194  -0.0423634059 -0.0250705383  0.017608305  0.0811603895  3.709259e-02 -6.482731e-02 -1.329776e-01 -0.0038577197
## stat195  -0.0698487098  0.0089018631  0.074145097 -0.0344966838 -4.282101e-02 -3.183786e-02 -8.646499e-02 -0.0461257665
## stat196  -0.0901948151  0.0471668256 -0.025787280 -0.0152365738 -1.606160e-02  3.524538e-03 -2.747658e-02  0.0010389423
## stat197   0.0875304078 -0.0539145491 -0.143994554  0.0469472436  3.594740e-02  1.139916e-01 -7.847401e-02 -0.0283469737
## stat198   0.0231237770  0.0341075452 -0.037149229  0.0749415542  6.143812e-02  3.118914e-02  2.919034e-02  0.0624437934
## stat199   0.0052094795 -0.0125070183 -0.071427520 -0.0095528428 -8.186900e-02  1.163059e-01 -3.928012e-02 -0.1529482996
## stat200   0.0642447141  0.0463969230 -0.045828005  0.0105521767 -4.335839e-02  1.201614e-02 -3.989188e-03 -0.0383544951
## stat201   0.0260224151  0.0329515645 -0.038566815 -0.1077969627 -9.487189e-03  6.671511e-02  7.438853e-02 -0.0076993416
## stat202  -0.0104119393  0.0999189363 -0.052175749  0.0720078899 -3.982710e-02 -2.093579e-02  2.381861e-02  0.0137753865
## stat203  -0.0457045227 -0.0311007606  0.036998899 -0.0946081227  2.042033e-02 -7.722589e-02 -4.308588e-02 -0.0597109888
## stat204  -0.0522744733  0.0782180105  0.057372328 -0.0124810725 -5.179107e-02  6.371274e-03  2.192229e-02  0.0326639219
## stat205   0.0151166205 -0.0090651054  0.064392774 -0.0864116322  6.877830e-02 -7.870914e-02  3.976094e-02  0.0310537118
## stat206   0.0274349235  0.0555308112 -0.007136972 -0.0214371423  3.000831e-02 -4.617663e-02 -7.212034e-02  0.0171630760
## stat207   0.0537296941  0.1137202862 -0.060109092 -0.1052746014 -7.826534e-02 -3.812527e-02 -4.001565e-02 -0.0743348478
## stat208  -0.0810526836 -0.0734434450 -0.034482451 -0.0824943741 -1.012039e-01 -8.128555e-02  6.597599e-03  0.0325474670
## stat209   0.1464997975  0.0095126903 -0.047786167  0.0063653419  4.740108e-02  6.511191e-02 -1.354145e-02 -0.0309899947
## stat210   0.0261410478 -0.0970788548  0.048027629  0.0632235224  6.166239e-02 -5.512236e-02 -1.752084e-02  0.1381112849
## stat211  -0.0601870670  0.0303621133  0.082358118 -0.0104368392 -6.032834e-02 -3.750678e-02  5.881205e-02 -0.0164826871
## stat212   0.0702730215  0.1239349352 -0.056350393  0.0564548903 -5.102822e-02 -6.059049e-02 -1.543237e-02  0.1131876461
## stat213   0.0905339723 -0.0550589952  0.023984223 -0.0334249266 -2.256848e-02  1.115179e-01  5.800566e-02  0.0128740275
## stat214  -0.0455252895  0.0335838361  0.004477274 -0.1262598408 -4.040841e-02  4.164675e-03  2.777631e-02  0.0052406429
## stat215  -0.0480544122  0.0757602959 -0.034276195 -0.0603943151  4.082796e-02  1.914825e-02  8.546069e-02  0.0039682634
## stat216   0.1469651479  0.0898322344 -0.058837526 -0.0110069799  3.361023e-02  2.779545e-03  8.905070e-03 -0.0571349298
## stat217  -0.1317920243  0.0695944698  0.034654256 -0.0125722328  7.000920e-02  2.763028e-02 -4.670005e-02 -0.0230702355
## x18.sqrt  0.0769036046  0.0054467104 -0.068192728 -0.0550338478  4.687667e-02  6.368893e-02 -1.800230e-01 -0.0280987048
##                  PC138        PC139         PC140         PC141         PC142         PC143         PC144         PC145
## x1        4.900621e-02  0.023821708 -0.0589965418 -0.0228110144 -0.0404674731  0.1461699576  0.0765694496  0.0567690534
## x2        1.033640e-01 -0.010897583 -0.0540392567 -0.0673603821  0.0030719011  0.0856946847 -0.0252062949 -0.0874008132
## x3        5.191282e-02  0.026949351 -0.0528737107 -0.0446327837 -0.1698882106 -0.0161639814  0.1539768803  0.0374239306
## x4        7.967910e-03  0.034169436 -0.0620105238  0.0667706529 -0.0064980673 -0.0046930379  0.0399758258 -0.0105181034
## x5        4.970763e-02 -0.009872727 -0.0568277059  0.0269990375 -0.0957969364 -0.1350748544 -0.0124024495 -0.0240938500
## x6        1.359565e-01  0.004854051  0.1528412529  0.1208600466  0.0452355884  0.0625911188  0.0744418002 -0.0361130115
## x7       -1.078454e-01  0.028095720  0.0471000035 -0.0303655426 -0.0570246405  0.1104430441 -0.0153780849 -0.0159677198
## x8       -1.057259e-01 -0.009047341  0.0485117675  0.0260767161 -0.0459497670  0.0863922167 -0.0378148607 -0.0053894992
## x9        5.187514e-02 -0.048310440 -0.0428250227  0.1497109483  0.0405588976  0.0112831681  0.0616963376  0.0318357496
## x10       1.165054e-01 -0.141745607 -0.0365492609 -0.1118580147  0.1316419238  0.0826675321  0.0109106070 -0.0066881186
## x11       2.593480e-02 -0.063403857 -0.1178925730  0.0260561620 -0.0371131369 -0.0182402544  0.0782325727  0.1118068643
## x12       5.324973e-02 -0.064811711  0.0195859377 -0.0388436979  0.0166548814  0.0217657551  0.0393520801  0.0522692779
## x13       9.000736e-02  0.019219700 -0.0305386201  0.0616000980  0.0014299008 -0.0217554518  0.0708633286  0.0106337301
## x14       1.042657e-01 -0.056564764  0.1207080815  0.0011102722  0.0430985096  0.0907932456  0.0676286208 -0.0727471881
## x15      -8.813820e-02  0.005971876  0.0428079781 -0.0402373467  0.0387541908 -0.0204544809  0.0825159127 -0.0379486066
## x16      -5.596754e-02 -0.035123926  0.0513715999  0.0675060205 -0.1145946445  0.0908333020  0.0366765551  0.0481304403
## x17      -3.654434e-02 -0.014075942  0.0106930545  0.1172381930 -0.0998173106 -0.0495493070 -0.0388054213 -0.0553104567
## x19      -9.419866e-02  0.027386630  0.0388857038  0.0214659256 -0.0744993940  0.0322025016  0.0520954755  0.0041276840
## x20      -1.317381e-02 -0.050002454 -0.0425960854  0.0299099353 -0.0212768623 -0.0494409594  0.0635028754 -0.0102592114
## x21      -5.907349e-02  0.051871635 -0.0065674022 -0.1132823975  0.0221213961 -0.0625065848 -0.0952980326 -0.0195700749
## x22      -2.554712e-02  0.044757256  0.0289478388 -0.1039697414  0.0554886429 -0.0641774639 -0.0150957818  0.0496937489
## x23      -3.394052e-02 -0.167495540 -0.0058079912  0.0826552103 -0.0178474091  0.1007166389  0.0145099376  0.0558518074
## stat1    -3.443830e-02  0.091495452 -0.0287160009 -0.0195558615 -0.0398958755  0.0468330149 -0.0406712981  0.0329719525
## stat2    -1.110992e-02  0.074266958  0.0501192206 -0.0377512462  0.0830254813 -0.0127821635 -0.0693563704  0.1268636529
## stat3    -1.124205e-02  0.067230816 -0.0120679800 -0.0434828795  0.0558711250  0.1185229314  0.0417412431  0.0337001808
## stat4     3.209128e-03 -0.050693434 -0.0567884059 -0.0461123235 -0.0715257066  0.0232444784 -0.0564642593 -0.0312070091
## stat5     3.010901e-03 -0.064155446  0.0554084979  0.0652135859  0.0007559000  0.0443704581  0.0185016750 -0.0737045509
## stat6    -4.214524e-03 -0.058122194 -0.0658082484 -0.0078955818  0.0185792695  0.0400633188  0.0447119958 -0.0267812125
## stat7     7.257744e-02 -0.128179762 -0.0301846452  0.0060659946  0.0068899392  0.0446918314  0.0899605638 -0.0514587623
## stat8    -2.341297e-02  0.076283298  0.0852367164  0.0112539207  0.0287179723  0.0177164745  0.1196493783  0.1338908273
## stat9    -5.817859e-02 -0.007178593  0.0017903114 -0.0297814616 -0.0571508464 -0.1017980613 -0.0296875754  0.0483362046
## stat10   -2.392891e-02 -0.006754758 -0.0121693507  0.0191824337  0.0818552059  0.0683051616 -0.0074779646  0.0230469350
## stat11   -1.419023e-01  0.034633214  0.0204529743 -0.0160942635  0.0233669800  0.0415094278  0.0607615812  0.0295096305
## stat12   -9.804803e-02  0.035913044  0.0260921896  0.0765495000  0.0924763299  0.1022828357  0.0604208397 -0.0065121656
## stat13   -5.278010e-03 -0.022138515  0.0871536777 -0.0344604565 -0.0811157109  0.0116389443 -0.0342538044  0.0565557598
## stat14   -2.587932e-03 -0.050515026  0.0748821875 -0.0988862017  0.0672222322  0.0884126456 -0.0378224793 -0.0106430035
## stat15    5.424407e-02  0.018717967  0.0288644570 -0.0629258902 -0.0006859938 -0.0008799392 -0.0029124903 -0.0903930679
## stat16    4.439414e-02  0.093476498  0.0101747144  0.0210798829 -0.0635054238  0.0821508395 -0.0463490677 -0.0148745650
## stat17    6.912335e-02 -0.001945863 -0.0618301959  0.0070680679 -0.0726885151 -0.0383616082  0.0645762875  0.0016934422
## stat18   -8.116499e-02 -0.044302804  0.0159498394  0.0546378607 -0.0182948012  0.0011381847 -0.0811256324 -0.0238226955
## stat19   -5.816079e-02 -0.029800187  0.0769493163 -0.0005994767 -0.0060736175 -0.0077305477 -0.1543805065  0.0629996529
## stat20    9.347626e-02  0.003249032  0.0652430247 -0.0206272524 -0.0078773335  0.0038008076 -0.0957409514  0.0139972148
## stat21   -6.549942e-02  0.017267299  0.0260729261 -0.0007500993 -0.1026079658 -0.0406629330  0.0926766649  0.0322199661
## stat22    8.181248e-02  0.075202407 -0.0630541339 -0.0274958558 -0.0113632166 -0.0585331672 -0.0025672516  0.0495465776
## stat23    8.317081e-02  0.059775817  0.0547577019  0.1017681095  0.0398611975 -0.0854167839  0.0626817592 -0.0153001903
## stat24    4.917030e-02  0.034577300 -0.0015387476  0.1090856408  0.0022278970  0.0175484990 -0.0133560552 -0.0487537512
## stat25   -1.017303e-01  0.036871655  0.1624659987 -0.0975552562 -0.0361249625 -0.0116098025  0.0056632940 -0.0198243258
## stat26    2.336118e-02 -0.071477072  0.1019358052 -0.0847008985 -0.0526731091 -0.1104338515 -0.0025310386  0.0994266267
## stat27   -4.988505e-02 -0.071258121 -0.0253760650 -0.0754066552 -0.0386372382 -0.0950013292  0.0896251594  0.0321389376
## stat28   -6.760390e-02 -0.085465339  0.0505712275 -0.1015865283 -0.0869123533  0.1084407744  0.0755004907  0.0002032238
## stat29   -1.182625e-01 -0.011354565 -0.0796473613  0.0235472117 -0.0256811734 -0.1011938452  0.0301914379  0.0081838572
## stat30    6.806420e-02 -0.099312245  0.0078974979  0.0160425151 -0.0251256271  0.0737054199  0.0918462201 -0.0324809736
## stat31    5.431589e-02  0.016452746 -0.1042698978  0.0522009491  0.0446529546  0.0086278458 -0.0446640115 -0.0636509540
## stat32    2.185755e-02  0.034488732  0.0517924016  0.0712372367 -0.0167542085  0.0078733739 -0.0661301316 -0.0096258588
## stat33    1.553198e-01 -0.052447074 -0.0795145997  0.0686985188  0.0611218705  0.0043736574 -0.0065752829 -0.0691169510
## stat34    3.344649e-02  0.030405662  0.0206612510 -0.0595209145 -0.1284713850 -0.1413989311  0.0908960556  0.1025306416
## stat35   -1.317469e-01 -0.103863681 -0.0154862997 -0.0101086015  0.0170211764  0.0479530748 -0.0725244505 -0.0090456403
## stat36   -2.872516e-03 -0.046509168  0.0307168317  0.0032899351  0.0980829448 -0.0499126974 -0.0919032755  0.0024389059
## stat37    1.035746e-01  0.002706661 -0.0512666213 -0.0342461263 -0.0126559813  0.0170775831 -0.1930186126 -0.0769320318
## stat38   -3.173680e-02 -0.048652712  0.1450117931 -0.0176091052 -0.1020807388  0.0510254826  0.0618451316 -0.0119796077
## stat39    7.738196e-02  0.070137025  0.0457118653 -0.0230239942  0.0198997249  0.0551219225 -0.0258534013  0.0128663250
## stat40    5.786197e-02  0.151453325  0.0390883018  0.0437333301 -0.0086247469  0.0809196872  0.0229260964  0.1022537055
## stat41   -1.630868e-02 -0.021434933  0.0331961146 -0.0028341449 -0.0114884825 -0.0340968140 -0.0191772068  0.1467584220
## stat42   -7.405804e-02 -0.043414981  0.0310634425  0.0502020402  0.0594080887  0.0267592393  0.0410595485 -0.1666620126
## stat43   -1.469534e-02 -0.112884553 -0.0355032254 -0.1270997931  0.0184163721  0.0350695941 -0.0246012011  0.0197236449
## stat44   -9.965867e-02 -0.085332837 -0.1114496168  0.0370040545  0.1653012451  0.0450331773  0.0986972130  0.0037937061
## stat45   -4.503176e-02 -0.005631952 -0.0106205092 -0.0847025166  0.0232086275  0.0595087516  0.0349439650  0.0366650721
## stat46   -2.181377e-02 -0.020193219 -0.0669308383  0.0285573512 -0.0261196974 -0.0574947306 -0.0277560390  0.0354645100
## stat47   -1.045837e-01  0.053068902 -0.0071004075 -0.0566866199 -0.0614746966  0.0039727270  0.0353836478 -0.2226399507
## stat48   -5.445477e-02 -0.074583486  0.0106017451 -0.0100762367  0.0073293179  0.0478189341  0.0346894755  0.0691017128
## stat49    5.829887e-02  0.091947428 -0.0587357293  0.0263741322 -0.0137447310  0.0520177461  0.0415416461  0.1144312786
## stat50   -7.427013e-02  0.021086360  0.0672141073 -0.0566647613 -0.0203082454 -0.0357577968  0.0739774518  0.0839657924
## stat51   -1.058117e-03 -0.081815234 -0.0315813084  0.0467545600 -0.1610173323 -0.0865944169  0.0271160817 -0.0327886512
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## stat176   1.335841e-02 -0.098509635  0.0416636572  0.0229633918  0.0289931940 -0.0148028547  0.0456916286  0.0491416640
## stat177  -3.139700e-02 -0.062116560  0.0929229858  0.0033938221  0.0056922699 -0.0380538290  0.0150722300 -0.0228258905
## stat178  -6.725421e-03  0.032499514  0.0570610772 -0.0176995992 -0.0500997857  0.0866842483  0.0334619154 -0.0546533023
## stat179  -5.736721e-02  0.124651480 -0.0647629667  0.0504057134  0.1075103570 -0.0127556280 -0.1358052088  0.0277032755
## stat180   7.898778e-03  0.062567116 -0.0338029146  0.0525080129  0.0121101705 -0.0210660823 -0.0081234972 -0.0461355851
## stat181   5.463246e-02 -0.086791734  0.0395191536  0.0822062230 -0.0676931614 -0.0339936401  0.0250492531  0.0547960800
## stat182   3.829526e-03  0.103105959 -0.0027505076 -0.0037988984 -0.1106074863 -0.0438993159  0.0227088472 -0.0079080809
## stat183   8.431342e-02  0.030267564 -0.0303744211 -0.0382629290 -0.0882631025  0.0604403510  0.0651076865  0.0234005391
## stat184   2.234431e-02  0.077957456  0.1260140842  0.0846072194 -0.0186705986  0.0269631737  0.0185787843 -0.1202856046
## stat185  -2.878693e-02  0.072741642 -0.1149819179 -0.0309583339 -0.0475814529 -0.0235947933  0.0287854492 -0.0703593477
## stat186  -1.106215e-02  0.075204958  0.0200699311  0.1284102944  0.0258257703  0.0255717809  0.0295958339 -0.0708824345
## stat187   1.353308e-01 -0.020148037  0.0193507102 -0.0884151269  0.0217189839 -0.0748441349  0.1721434293 -0.0116203992
## stat188   6.815821e-02  0.064135041  0.0910436542 -0.0193322386  0.0372977265  0.0139507245  0.0009270130 -0.0327991560
## stat189  -8.399153e-02  0.030754269 -0.0466937075  0.0482522402 -0.0641163801  0.1155227006  0.0327128494  0.1144846021
## stat190   9.260010e-02 -0.059916279 -0.0446629070 -0.0138429148 -0.0305715048  0.0708368571  0.0551287531 -0.0437975764
## stat191  -3.045272e-02  0.058181711  0.0586696088  0.0411390362 -0.0403699081  0.0342719629 -0.0603384932 -0.0241550204
## stat192  -1.107822e-01 -0.158436343 -0.0797771830  0.0009238792  0.0251365134 -0.0363731592  0.0435373424 -0.0673482371
## stat193  -3.549463e-03  0.043994474 -0.0915318841  0.0661737247 -0.1044611925  0.0315911744 -0.0953009042  0.0430938093
## stat194   7.358275e-02 -0.030575613 -0.0362620860 -0.0318223502 -0.0361336236 -0.0148469398  0.0596083636 -0.0679467409
## stat195   9.524782e-02  0.002002327  0.0023050070 -0.0659796316 -0.0652625923 -0.0034637538  0.0003238958 -0.0120120633
## stat196  -2.734544e-02  0.033433549 -0.0350511269  0.0074985509  0.0127396287  0.0856922026  0.0761078958  0.0514658756
## stat197  -5.052985e-03 -0.031059735  0.1313896908 -0.0051735541  0.0081551151 -0.0465210186  0.0253271667  0.0294147964
## stat198  -4.936329e-02 -0.020776306  0.0096441627 -0.0303979049  0.0629382319  0.0153692270  0.0690023880  0.1281807547
## stat199  -7.487176e-02  0.030970594  0.0213448871 -0.1196451809 -0.0175802923  0.1089914543  0.0131311843 -0.0070861736
## stat200  -4.831253e-02 -0.059775325 -0.0046850706  0.0661481971 -0.0011355965  0.1147715980  0.0230493970  0.1069603527
## stat201   1.906607e-02  0.027751837 -0.0129685244  0.0224974934  0.0714153593 -0.1122062683  0.0761090687 -0.0482104601
## stat202  -2.801243e-03  0.027895486 -0.0190763731  0.0724711460 -0.0336844120 -0.0262634185 -0.0379047418  0.0083856245
## stat203  -4.487232e-02  0.003862722  0.0391096963  0.1601295356 -0.1439259612 -0.0549981521 -0.0836692163 -0.0983916257
## stat204   6.649156e-02  0.063917883 -0.1424073356 -0.1163832946  0.0924008887  0.0588921517 -0.0139507104 -0.0404310323
## stat205   1.237394e-02  0.038271649  0.0020785029  0.0121739181 -0.0726995072 -0.0680456944  0.0052027397  0.1103493645
## stat206   3.793527e-02  0.065783195 -0.0357385384  0.0707448302 -0.0334921193 -0.0585854868  0.0074131155 -0.0508081452
## stat207   7.194773e-03 -0.054683857 -0.0163788076 -0.0314562343 -0.0024649940 -0.1084950409 -0.0493669304  0.1182825356
## stat208  -5.211103e-02  0.050765866  0.0436249063  0.0587891486 -0.0153297701  0.0038330154  0.0292385840  0.0900202957
## stat209   7.758482e-02  0.017299832  0.0417025336 -0.1269172014 -0.0829901164 -0.0609906110 -0.0837077181  0.0309493399
## stat210  -4.723670e-02 -0.056771445  0.1003087192 -0.0354731013  0.0650169512 -0.0662731505  0.0181811851 -0.0909429739
## stat211   1.164599e-02  0.081313682  0.1425375542 -0.0415528717  0.0584460095 -0.0667820479  0.1056657207  0.0241154304
## stat212   1.237797e-01 -0.014235631 -0.1310155294 -0.0007187563 -0.0389959464  0.0577061701 -0.1069535287  0.0006556370
## stat213  -7.226210e-02 -0.016633301 -0.1107324474 -0.0664812769 -0.0182294104 -0.0451881444  0.0473673739 -0.0023771092
## stat214  -1.737303e-01  0.075793655 -0.0288159943  0.1011272017 -0.0230798982  0.0081399472  0.0640181572  0.0928892951
## stat215  -6.727137e-02 -0.021263477 -0.0407250914 -0.0386237783 -0.0607536847 -0.0180831339  0.0027216933 -0.1227123200
## stat216  -2.903624e-02  0.011571556 -0.0760029940 -0.0004172050 -0.0076863875 -0.0160296665 -0.0329649963 -0.0106798385
## stat217   2.032367e-02  0.103072876 -0.0765043302 -0.0703524181  0.0157626914  0.0895485725 -0.0757739193  0.0024279918
## x18.sqrt  4.576862e-02  0.042001917  0.0544326618  0.0024306728  0.0445327192  0.0013882374 -0.0020146789  0.0172435663
##                  PC146         PC147         PC148         PC149         PC150         PC151         PC152
## x1        0.1177739064 -0.0457144063 -5.306105e-02 -0.0098716809  1.242281e-01  0.0420864310  0.0221754292
## x2        0.0162238894  0.0035949569 -4.274367e-02  0.0709304110  6.840038e-02 -0.0457647595 -0.0316512833
## x3       -0.0471470222  0.0142508374  2.286333e-02 -0.0390002083  1.169804e-02  0.0480453978  0.1442644670
## x4        0.0014074329  0.1185456174 -8.302090e-02  0.0514316346  2.131100e-02 -0.1064266039  0.1090883079
## x5        0.0565116020 -0.0721814440 -1.577933e-01  0.0414141446  3.481465e-02  0.0102512829 -0.0061630526
## x6        0.0024679786  0.0160477730  1.752601e-01  0.0302437555 -5.202861e-02 -0.0159359878 -0.1102696499
## x7       -0.0549197943 -0.0500960217 -2.340491e-02 -0.0932794817 -2.112801e-02 -0.0176453008  0.0286771088
## x8        0.0022544063 -0.0511678407  1.968202e-02 -0.1406656721  5.981015e-02 -0.0723989411 -0.0048837981
## x9       -0.0723406241 -0.0263653510 -1.079724e-02 -0.0597512700 -8.246803e-02  0.0302764223  0.1086195640
## x10      -0.0849699406 -0.1069384911 -2.802401e-02  0.0610127862  4.981797e-02 -0.0788455181  0.0116108819
## x11      -0.1185629910 -0.0548024531  1.328257e-01  0.0556387498 -1.088256e-02  0.0197404438 -0.0427406853
## x12       0.0921214828 -0.1604001554  6.021111e-02 -0.0208220869  6.029369e-02  0.0423510258 -0.0412813661
## x13       0.1398536463  0.0554360735 -5.212900e-02 -0.0127539783 -3.784924e-02 -0.0302557522  0.0030992398
## x14       0.0260861834  0.0489070379 -2.658248e-03 -0.0734726031 -3.036054e-02 -0.0393058137  0.0069143347
## x15      -0.0241172412  0.0443336726  6.248240e-02 -0.0217244492 -5.675471e-02 -0.0449575895 -0.0148688125
## x16       0.0967603277 -0.0415522901  4.220533e-02  0.1826355718  2.910085e-02 -0.0939441693  0.0504834334
## x17      -0.0305826959  0.0301438754 -7.943985e-02  0.1758697639 -5.467292e-02  0.0649470500 -0.0492363170
## x19      -0.0273910293 -0.0275038028  2.758571e-02 -0.0644071251 -8.080795e-02 -0.0502177676  0.0016606288
## x20      -0.1381511963  0.0511267075  2.075471e-02  0.0406135407  6.229905e-02  0.1039072161 -0.0568620275
## x21       0.0155306610  0.0001926167  2.622242e-03  0.0078085974 -1.760211e-02  0.0318084583 -0.0233580493
## x22      -0.0385199162  0.1905134993  4.016444e-02  0.0210132976  1.102902e-03 -0.1088358171 -0.0354292697
## x23      -0.0813262322  0.0653766061  7.126372e-02  0.0210807373 -4.066131e-02 -0.0573679894  0.0855671530
## stat1     0.0141280767  0.0820585613 -6.428052e-02  0.0563405514  5.389798e-04 -0.0492528399 -0.0561504196
## stat2     0.0161004500  0.0690965138 -3.339816e-02 -0.0070711825 -2.444212e-05 -0.0449335518  0.0642871959
## stat3    -0.0102538932  0.0626900359  4.467002e-04 -0.0021367976  5.123081e-02 -0.0475617675  0.0028257576
## stat4    -0.0087806419  0.0325247123  8.113034e-02 -0.0364579152  6.120126e-02 -0.1363547138  0.0504970214
## stat5     0.0088482736  0.0486659413 -8.268154e-02 -0.0684573057  8.571891e-03  0.0666941939  0.0271663395
## stat6     0.0338769560  0.0486730549 -8.384903e-02  0.0558966357  4.417393e-02  0.0635480887 -0.0253399016
## stat7     0.0359232210  0.0859924704 -1.488853e-02 -0.0180417168  4.731000e-02 -0.1017411764 -0.0970661010
## stat8    -0.0646086438  0.0528923525 -1.362899e-02  0.1060214937  1.375357e-01 -0.0320472435 -0.0900013094
## stat9     0.0399785905  0.0523623498  3.363970e-02 -0.0270301034 -8.477093e-02 -0.0106702305 -0.0125216336
## stat10   -0.0039184066 -0.0295895253  6.221251e-02 -0.0114694018  2.218438e-02 -0.0852961907 -0.0288386423
## stat11   -0.1760112871 -0.0389075995  3.113052e-02 -0.0427554276  3.101068e-02 -0.0840074893  0.0489361098
## stat12    0.0794280638 -0.0495307330  1.038751e-02 -0.0596260680  1.197578e-02  0.0413189653 -0.0639304216
## stat13   -0.0064291194 -0.0079610797  3.997452e-02  0.1120949052  3.610715e-02  0.1141159908  0.0603199735
## stat14   -0.0047219978 -0.0005497727 -7.249949e-02 -0.0499809290 -7.251029e-02  0.0383424067  0.0556915198
## stat15    0.0374279107  0.0187921246  1.259231e-04  0.0623235816 -2.173176e-02 -0.0588891984  0.0462018437
## stat16    0.0465695291  0.0113377351  1.338647e-01 -0.0232436226  8.151328e-03 -0.1305087388 -0.0021104150
## stat17    0.0517514183 -0.0047194570  5.552677e-02 -0.0765057877  9.269392e-02  0.0165987331  0.0845313858
## stat18    0.0084376244  0.0094052935  3.285971e-02  0.0782251373 -7.268808e-02 -0.0627081653  0.0880626418
## stat19    0.0113492354 -0.0093373751 -5.815573e-02 -0.0311877441 -4.419439e-02  0.0272826215  0.1097470154
## stat20    0.0730234369  0.0531684240 -1.146297e-01 -0.0445193676  2.955785e-02 -0.0095638433 -0.0213874081
## stat21   -0.0689866421 -0.0490323401  9.899811e-02  0.0388300727  6.991352e-02  0.0243263457 -0.0951642596
## stat22   -0.0500106723 -0.0095594598 -2.728122e-02  0.0714360200 -2.061426e-01  0.0906182845 -0.0156291693
## stat23    0.0106348758  0.0408927884  5.256994e-02 -0.0303156783  4.702188e-02 -0.0224386689  0.1066707511
## stat24   -0.0551772355 -0.0701985430  1.362410e-02 -0.1177196905  5.196277e-02 -0.0624062602  0.0161724809
## stat25   -0.0441809359 -0.0140272546  1.994061e-02  0.0785646651  7.803739e-02 -0.0700915271  0.0607995499
## stat26   -0.0210283193 -0.0913901604  3.257281e-03  0.0166646117  6.415714e-02  0.0295455169  0.0621104047
## stat27    0.0547815111 -0.0125540438  5.474350e-02  0.1150804820  5.167657e-02 -0.0991503326 -0.0654618895
## stat28    0.0039689481 -0.0482440129 -2.737715e-02  0.0743896865  7.914379e-02  0.0396213565 -0.0466061231
## stat29    0.0196338576 -0.0547445488 -2.440132e-02 -0.0880274851 -5.758721e-02 -0.0128321630  0.0585201754
## stat30    0.0643570836 -0.1160217861 -1.321431e-01 -0.1015528055 -1.837285e-01  0.0276758326  0.0527169231
## stat31   -0.0131652266 -0.0216098189 -7.122786e-02 -0.1128196954  1.420231e-01 -0.0115832450  0.0202836109
## stat32    0.0204761188 -0.0893755975  6.123006e-02  0.0225123852 -3.835027e-03 -0.0270066028 -0.0189042709
## stat33    0.0483662991 -0.0708215424 -2.002107e-02  0.1075832879 -1.547554e-02  0.0602162402 -0.0124411507
## stat34    0.0492715163  0.0640464368 -1.015426e-01 -0.1335592502 -1.968125e-02  0.1692523499  0.0419625891
## stat35   -0.0257828874 -0.0554374736 -3.928989e-02 -0.0571730348 -1.615885e-02  0.0179259917  0.0336378000
## stat36   -0.0306001860 -0.0194826757 -3.950685e-02  0.0199525852  6.982217e-03 -0.0464701671 -0.0186581349
## stat37    0.0679001228 -0.0279247679  3.985009e-02 -0.0186708333 -4.827241e-02 -0.0669490215 -0.0655060701
## stat38    0.1320626508 -0.0574495661  5.464977e-02  0.0326433188  2.828588e-02 -0.0068707971 -0.0399377021
## stat39    0.0408870207 -0.0747321566 -4.592904e-02  0.0640523859 -9.646298e-03 -0.0395697505 -0.0723841928
## stat40   -0.0365588134  0.0512300789  1.154190e-01 -0.1240592598  1.751122e-02  0.0642058844  0.0269835966
## stat41    0.0852843648  0.0160022503  9.519230e-02 -0.0079380786 -8.461512e-02  0.0109130326  0.0308896093
## stat42   -0.1236750047 -0.0023175333  6.691674e-02  0.0190442640  1.608679e-02  0.1419737014 -0.0160077424
## stat43    0.0649449468  0.0538199497  1.487480e-02  0.0184062360 -3.227266e-02  0.0072280889 -0.0429469282
## stat44    0.0378565229  0.0326477220 -1.470746e-03 -0.0020942235 -7.134390e-03 -0.0597785198  0.0012951504
## stat45   -0.0429903736  0.1562444963  1.198375e-01  0.0117046955  5.412350e-02  0.1226426147 -0.0399225871
## stat46   -0.1052514472  0.0233478364  1.807532e-02  0.0647928081  9.369525e-02 -0.0367573752  0.0477519346
## stat47    0.0122126503 -0.0553216368 -6.659149e-02 -0.1405898561  1.039913e-01  0.1877416898 -0.1255557194
## stat48   -0.0939178720  0.0146206495 -9.375767e-02 -0.0114700985 -5.577939e-02 -0.0084891784  0.0260734160
## stat49   -0.0479915251  0.0762388694 -2.354832e-02 -0.0646338766  5.034756e-05  0.0376289051 -0.0323091729
## stat50   -0.0702488104  0.0258581772  1.173859e-02  0.0203701297  1.249221e-01  0.1220447756 -0.0769283417
## stat51    0.0801011057 -0.0962350172 -8.282116e-02 -0.1019493065 -5.574533e-03  0.0293601173 -0.0825144843
## stat52    0.0965933290 -0.0283742305  2.290880e-02  0.0398876664  2.086393e-02  0.0659750225  0.0604930475
## stat53    0.0545429050 -0.0140474179  1.773797e-01 -0.0392153284  6.000635e-02 -0.0361914587 -0.0664216351
## stat54    0.0276384076 -0.1178498070  1.752352e-02  0.0182540197 -6.079029e-03  0.0630229369  0.0413800282
## stat55   -0.1411264283 -0.0796220396  8.431906e-02 -0.0469593911 -4.398776e-02 -0.0934097589 -0.0347727274
## stat56    0.0258159549 -0.0073613870  7.693331e-02  0.0127569087 -8.164878e-02 -0.0149875218  0.0320605091
## stat57   -0.0528755788 -0.0197476387 -2.900333e-02  0.0692517264 -2.044127e-03 -0.0503661150 -0.0874873991
## stat58   -0.0199567482  0.0434157017  4.254037e-02  0.1081190369 -1.372589e-01  0.0136347225  0.0196890219
## stat59   -0.0380506068  0.1097587741 -3.892944e-02 -0.0158268427  8.381348e-02  0.0471229485 -0.0037279629
## stat60    0.0990432097 -0.0278584014 -2.140162e-02  0.0197843624 -4.779502e-02  0.0388212099 -0.0624801229
## stat61    0.0984165914 -0.0886179524  4.842293e-04  0.0284215163  3.922892e-02  0.0016646885 -0.1239640859
## stat62   -0.0461080052  0.0040994391 -3.350247e-03  0.0013251570 -1.372434e-02 -0.0366892758 -0.0938488290
## stat63    0.0045732652  0.1367939906  4.051854e-02  0.0464523164  6.111183e-02  0.0397547046  0.1082374611
## stat64    0.0808587451  0.1200346431 -7.240245e-02  0.0220996038  5.985335e-02  0.0715924397 -0.0392421106
## stat65   -0.1171725303 -0.1470602989  4.559005e-02 -0.0181129048  6.690291e-02  0.0971938624 -0.0281704618
## stat66    0.0279054384 -0.0243624137 -7.938572e-02 -0.0700750661 -2.336627e-02 -0.0796724729  0.0221165633
## stat67   -0.0050082606  0.0828360397  6.462839e-03  0.0072986835 -1.331737e-01  0.1293235487 -0.0322267370
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## stat207   0.0675886238 -0.1128918044 -8.443095e-03  0.0040278635  3.053737e-02 -0.1168835331  0.0245949239
## stat208  -0.0488504647  0.0137409887 -5.308975e-02 -0.0276071344 -1.019216e-01  0.1136416027 -0.0100538437
## stat209  -0.0709879697 -0.0423263203  1.141459e-02  0.0653610477 -6.976788e-02 -0.0370802562 -0.0723359077
## stat210   0.0782189608 -0.1344828236 -2.482309e-02 -0.0220632242 -7.931157e-03 -0.0219942792  0.1481086012
## stat211   0.0921641194  0.1187965070 -2.658882e-02 -0.0004064684 -1.774620e-02  0.0003683604  0.0559661036
## stat212  -0.0868710884  0.0571491447 -2.753836e-02 -0.0838371902 -1.774735e-02  0.0280886850  0.0021066463
## stat213  -0.0239759183 -0.0511279877 -8.894351e-02 -0.0665416757  1.710475e-02 -0.0876175708 -0.0696804258
## stat214   0.0706411590 -0.1028159037 -2.944586e-02 -0.0160475776  2.743757e-02  0.0398925866 -0.0307622780
## stat215  -0.0474394419  0.1024716700  8.389986e-02 -0.0223665420 -4.036926e-02  0.0721622318 -0.0847201866
## stat216   0.0754789484  0.0620077169 -1.194780e-01  0.0984670663 -7.511095e-02  0.0901198572  0.0223740338
## stat217   0.0086779311 -0.0476983598 -5.238303e-02 -0.0356309543  6.265805e-02  0.0950703737  0.0655225403
## x18.sqrt  0.1152856429 -0.0692921458 -1.137157e-02 -0.0554394641 -1.488395e-01 -0.0516975824 -0.0956539228
##                  PC153         PC154         PC155         PC156         PC157         PC158         PC159
## x1        0.0518897117 -5.148400e-03 -0.0221853202 -0.0462421283 -7.371027e-02  0.0835922197  0.0489690558
## x2        0.0068134573 -1.728090e-02 -0.0819407021  0.0505642112  9.665296e-02  0.0245369283  0.0363208799
## x3        0.0519776345 -3.963108e-02  0.0512998981 -0.1084181174 -6.859427e-02 -0.0089490856 -0.0180106458
## x4        0.0012977021 -1.017857e-01 -0.0461315847 -0.0915500930  4.638047e-02  0.0140064111 -0.0799063506
## x5       -0.0226882409  5.953685e-02 -0.0230641688  0.0020934984 -1.505948e-02  0.0424394515 -0.0183904894
## x6       -0.0794444354 -3.861227e-02 -0.0354618919 -0.0616762546  3.664794e-02  0.0979127169 -0.0782482092
## x7       -0.0070968086  3.072391e-02 -0.0439653363 -0.1527389515 -2.957203e-02 -0.0023796842  0.0003372627
## x8        0.0489840441  1.877950e-02 -0.0336374227 -0.0162987793  1.973137e-02  0.1007572079  0.1130538683
## x9       -0.1254739464 -1.327793e-01  0.0044406884 -0.0245965659 -7.798427e-02 -0.0125931583 -0.1356582938
## x10       0.0289770206  4.340153e-02  0.0157272450 -0.0088993211  9.644511e-02  0.0230627457 -0.0834106712
## x11       0.0120291114 -9.790824e-03  0.0519168492 -0.0793742620  7.112792e-02 -0.0321998081  0.1517240543
## x12       0.0573299443  5.201332e-02 -0.1034446879 -0.0030285892  1.708647e-02 -0.1287134936 -0.0081527204
## x13      -0.0054781874  1.911906e-02  0.0314162598 -0.0280874386 -4.531945e-03 -0.0201694718  0.0267603381
## x14      -0.0267378522  6.456501e-02 -0.0819083481  0.0727266150 -2.970856e-02 -0.0186302455 -0.0199018519
## x15       0.0219486509 -7.584943e-02  0.1053730957  0.0486619497 -2.199221e-02 -0.0491194995  0.0099989661
## x16       0.0243589979  9.495965e-02  0.0630198051 -0.0477454546 -2.296031e-02 -0.0437900236  0.0243834014
## x17       0.1735152672  2.684395e-02  0.0623531394  0.0420837637 -8.125862e-02 -0.0009108840 -0.0385093715
## x19       0.0931541676 -5.346887e-02  0.0419541194  0.1266839005  1.880604e-02  0.0203380888 -0.0304330903
## x20       0.0135562104 -4.312262e-02  0.0531963773  0.0013322558 -7.902110e-02 -0.0254864025 -0.1011939225
## x21      -0.0554140748  2.334905e-02  0.0172698471 -0.0376376306  1.772437e-02  0.0182310179  0.0557156668
## x22       0.0286223572 -1.593064e-02  0.0509069959  0.0369834817  1.289732e-02 -0.0291987103  0.1187607392
## x23      -0.0321708250  7.961449e-02 -0.0546218857 -0.1337797208  2.179178e-02  0.0975949103  0.1265087157
## stat1    -0.1095525150 -7.751105e-02 -0.0210798463 -0.0328486148 -6.504081e-02 -0.1250234126  0.0250273105
## stat2     0.0427834900  1.787479e-02 -0.0638209990  0.1072311404 -1.678787e-02  0.0826631548 -0.0333277812
## stat3    -0.0087421947 -1.178201e-01  0.0046805392 -0.0509166958 -1.004725e-01 -0.1222880874 -0.0692668728
## stat4     0.0529737057 -1.085993e-01  0.0035656540 -0.1317576386 -1.330110e-02 -0.1208760640 -0.0232562140
## stat5     0.0218714669  5.853372e-03 -0.0091869294  0.0869850308 -2.633600e-02 -0.0401354648  0.0565330943
## stat6     0.0356637221  2.148975e-02  0.0522866819  0.0134560725 -1.615147e-02 -0.0017614998  0.0328079350
## stat7     0.0415563080  1.468974e-02 -0.0969447442 -0.0315871862  8.596055e-02 -0.0575978157 -0.0673693320
## stat8    -0.0360758523 -2.897749e-02 -0.0855319549  0.0568637594  7.586177e-02  0.0404756358 -0.0305441217
## stat9     0.0642671323 -8.406167e-02  0.0044713743  0.0154411354 -2.661984e-02  0.0630566611 -0.0948416266
## stat10   -0.0686026716 -6.140960e-02 -0.1023299447 -0.0197062645  3.451236e-02  0.0322739314  0.0985309902
## stat11    0.0785682467  2.937215e-02 -0.0277950048 -0.0334023335 -6.965659e-02 -0.0460998214  0.1124966139
## stat12    0.1378000778 -4.902944e-02 -0.0335164240  0.1003268279 -3.369313e-02  0.0589390964  0.0031429415
## stat13    0.0682594935 -1.414685e-02  0.0038243652  0.0854503929  5.952888e-04 -0.0710126599  0.1215611731
## stat14    0.0812864760  6.749763e-03  0.0792278822 -0.0185689855 -1.663690e-03 -0.0031306377 -0.1634552945
## stat15    0.0102388898 -7.989066e-02  0.1221727740  0.0628630842 -2.173582e-02  0.1022706586  0.0394955519
## stat16   -0.0274325768 -8.014036e-02  0.0219369682  0.0136997975 -9.468286e-02 -0.0477610295  0.0193350721
## stat17   -0.0299094112  4.012575e-05 -0.0668826285  0.0482418538  1.119365e-02  0.0503237957  0.0171606412
## stat18    0.1513487225  1.046419e-01  0.0279850638  0.0556745900 -1.960749e-02 -0.0905783805  0.0016371968
## stat19   -0.0195858502 -3.548241e-02 -0.0210122186 -0.0344483189 -6.052841e-02 -0.0394739488  0.0506640023
## stat20   -0.1004550163  5.953052e-02  0.0797198727  0.0855092644  1.560432e-02 -0.0353740586 -0.0101795474
## stat21   -0.1678880964 -9.957839e-02 -0.0171014394  0.1092479853  5.714313e-02  0.0362913998 -0.0213159812
## stat22    0.0139238229 -6.771698e-02  0.0346254154 -0.0417679511 -1.800123e-01  0.0708212785  0.0969436249
## stat23   -0.0516994306 -9.167646e-03 -0.1707021149  0.0367817197  8.481865e-03  0.0252111736 -0.0449194485
## stat24   -0.0087080225  2.469890e-02  0.0218401938 -0.0029551064 -2.709566e-02 -0.0450132353  0.0299327915
## stat25    0.0895917215  2.230116e-02  0.0388251443  0.0079435406  2.781140e-02  0.0641494688  0.0587817151
## stat26   -0.0057681850 -1.649710e-02  0.0520000828 -0.1439541278  4.253174e-02  0.0474161312 -0.0476752315
## stat27   -0.0350408033  3.173463e-02 -0.0388474073 -0.0596011504 -7.233345e-02  0.0185824771  0.0010868295
## stat28   -0.0278640586 -1.145457e-01 -0.0015634134  0.1465208566  2.208462e-02 -0.0028412441  0.0950447348
## stat29    0.0056458723  1.668222e-01 -0.0594865578  0.1210646185  3.816788e-02  0.0492900700 -0.0373999820
## stat30   -0.0239264643 -2.598151e-03  0.0756099621 -0.1212974337 -5.129079e-02 -0.0146367685 -0.0273720258
## stat31    0.0108084225  1.778747e-02  0.0540070570  0.0943992888 -7.022025e-02 -0.0188719062  0.0737450782
## stat32   -0.0137919993  1.479357e-02 -0.1492954610 -0.0753521263  6.542308e-02 -0.0415933554 -0.0196136957
## stat33   -0.0146837412 -6.349957e-02 -0.1071127163 -0.0264324808 -2.434323e-02  0.0055367323  0.0719078226
## stat34    0.0669909523  4.583761e-02  0.0061110613  0.0182346505  1.176206e-02 -0.1091844577 -0.0568313655
## stat35    0.0473237211 -6.820562e-02 -0.0024998515 -0.0501705224  2.383615e-02  0.1023071986  0.0467058428
## stat36    0.0524611429  1.008909e-01  0.0113452174  0.0002383729 -4.720763e-02 -0.1084755153  0.1057545066
## stat37    0.0381145598 -8.730209e-03 -0.0001238608 -0.0094574552 -1.666113e-02 -0.0672416590  0.1325281280
## stat38    0.0159289509  3.258189e-02  0.0810915999 -0.0850996711 -3.195098e-03  0.1242496910 -0.0035701461
## stat39   -0.0519237884  1.027540e-01 -0.0284548568 -0.0180016041  1.017869e-02  0.0103058039 -0.1405275004
## stat40   -0.0902761649  3.508977e-02  0.0148457817  0.0044670547  3.716651e-02 -0.0993577264  0.0258033885
## stat41    0.0546929950  3.547042e-02  0.0127237052 -0.0559298238  1.451410e-01  0.0066934164 -0.0230116763
## stat42   -0.0640782551 -1.186017e-01 -0.0247673188 -0.0846492428  1.361364e-01 -0.0898598008 -0.0596438415
## stat43    0.0199442702 -5.462240e-02 -0.0272344121  0.0834444071 -5.830264e-02 -0.0229036398  0.0215263635
## stat44   -0.0528450458  7.411213e-03  0.0293678758 -0.0180667808  8.766965e-03 -0.0471039677  0.0825030333
## stat45   -0.0343392586  8.469857e-02  0.0127489708  0.0310185561 -5.393336e-02  0.0630675506 -0.1060423615
## stat46    0.0322012658  5.125840e-02  0.0079866170  0.0860296176 -5.195812e-02  0.0477952097  0.0083064534
## stat47   -0.0441260807 -3.385729e-02  0.0589415313 -0.0552397232  1.386433e-02  0.0798231423  0.0807482041
## stat48   -0.0371142365  7.387183e-03 -0.0905037882  0.0184377189  2.913059e-02  0.0732028834 -0.0615761966
## stat49    0.0414190251 -6.811923e-02  0.0989311032  0.0817127374  1.144189e-01  0.0080632902 -0.0228170175
## stat50    0.0284766481 -2.646716e-02  0.0100869302  0.0009458352 -9.083609e-04  0.0168798004  0.0233671383
## stat51    0.0832336120  8.003374e-02  0.0717090853 -0.0793689939 -2.551962e-04  0.0597079085  0.0045106281
## stat52   -0.0694727706  2.109802e-02 -0.0923057130 -0.1543074812  3.788396e-02 -0.0160488884 -0.0921678291
## stat53   -0.0896995370  1.384653e-02  0.0008458621 -0.0328075985  2.823251e-02  0.0282780060 -0.0318016641
## stat54    0.0192627994 -2.458646e-02  0.0080976264 -0.0413294570 -6.249986e-03  0.0375123016  0.1328157026
## stat55   -0.0135165135 -1.682179e-01  0.0817651883  0.0258563516  9.825083e-02 -0.0551324373 -0.0367989743
## stat56   -0.0042722081  4.802162e-02  0.0805934866 -0.0394945316 -9.535389e-02  0.0326943148 -0.0619318666
## stat57    0.0264024136  7.302514e-02  0.0119315953  0.0711395225  1.060014e-03  0.0370736838 -0.0980006398
## stat58    0.0440193718 -3.673572e-02 -0.1173041303 -0.0941785213  3.145454e-02  0.0757723178  0.0902177096
## stat59    0.0003229217 -5.513843e-02  0.0103474285 -0.0558270896 -4.422164e-02 -0.1048815231 -0.0701016197
## stat60    0.0473505298 -6.563471e-02 -0.1124518214  0.0425953315  2.744762e-02  0.0392546029 -0.0236641159
## stat61    0.0020650338 -9.401774e-02 -0.0694558495  0.0306315965  3.422529e-02 -0.0725363781  0.0408786783
## stat62   -0.0866806239 -1.626862e-02 -0.0632363138  0.0653374073  8.650327e-02  0.0416650902  0.0697483992
## stat63    0.0517953350  4.971392e-02 -0.0473387805 -0.0498354827  2.387819e-02 -0.0203122808 -0.0309485333
## stat64   -0.0175469309 -4.633475e-02 -0.0222774978  0.1169617092  6.690794e-02  0.0084830191  0.0858801546
## stat65    0.0176165709  1.166784e-01  0.0874348448 -0.0553422927  1.367065e-01 -0.0613079990 -0.0146894449
## stat66   -0.0096292536 -8.436892e-02 -0.0897660416  0.0688897379  7.088699e-02  0.0545560592  0.0930435558
## stat67    0.0442117729  1.236250e-01 -0.0608469178 -0.0126553023 -2.581393e-02 -0.0571359523  0.0455363594
## stat68    0.0361473720  2.238805e-02 -0.0337212762 -0.1027811048 -3.041206e-02  0.1094651653  0.0437949090
## stat69    0.0088688229  1.581219e-03  0.0310721853 -0.0758112476 -5.236588e-02  0.0958478244  0.1385714647
## stat70   -0.0196369633 -8.671581e-02 -0.0386334096 -0.1714015598  1.848849e-01  0.0601629064  0.0074979270
## stat71   -0.0636493038 -5.706880e-03 -0.0417675606  0.0532887448  1.579226e-01  0.0049949622 -0.0403424271
## stat72    0.0086955662 -2.049008e-02  0.0238672772 -0.0256138329  8.170814e-03 -0.0317972683  0.0282046392
## stat73    0.0697627007 -1.301664e-02 -0.0365589692 -0.0014317879 -3.581776e-02 -0.0213489009  0.0639298608
## stat74    0.1257735032  5.601305e-02 -0.0223930813 -0.0226941604 -2.455825e-02  0.0033278381  0.1221536866
## stat75   -0.1028910500  1.376965e-02 -0.1130143012 -0.0182588542  1.253796e-02 -0.0243061602  0.0029338166
## stat76   -0.1326308021 -4.014861e-02  0.0429460689 -0.0231116741  2.473115e-02  0.0080569149  0.0362796468
## stat77   -0.1667702996  1.140403e-01 -0.0296289764 -0.0758915105 -3.879463e-02 -0.0540944471  0.0079701272
## stat78    0.0805951982  4.903274e-02  0.1580476863  0.0052056846 -5.586927e-03  0.0966021823 -0.0750258779
## stat79    0.0497068765 -1.234022e-02  0.0573127818  0.0143518894 -4.140737e-02  0.0171890807  0.0555670020
## stat80    0.0148477957 -3.475278e-02 -0.1619478093 -0.0223098503 -8.685328e-03  0.0828911559 -0.0533930660
## stat81    0.0522793885 -1.271764e-02 -0.0946429590  0.0362881221  5.369644e-02  0.0436006436 -0.0833965193
## stat82    0.0330009718 -9.629593e-02  0.0033470744 -0.0209063864  4.143349e-02 -0.0828771609  0.0650384771
## stat83   -0.0009283425  5.218841e-03 -0.0582034292 -0.0120885987 -1.178629e-01 -0.0544823348 -0.0304977407
## stat84   -0.0185320684 -8.624109e-02  0.0155238944 -0.0317169094 -4.469284e-02  0.1565441326 -0.0945170194
## stat85    0.1270889717 -6.236092e-02  0.0492610796  0.0071358875  1.137835e-01 -0.0361609177 -0.0316304765
## stat86    0.0006098238  1.379937e-03 -0.1302898137 -0.0869694629  1.973882e-02  0.1365213485  0.0516990655
## stat87    0.0377044654 -5.554270e-02 -0.0627680460  0.0152691749 -5.365222e-02 -0.0580734460 -0.0367520544
## stat88    0.1749649977  2.556986e-02  0.0176604981 -0.0829603770 -1.416214e-02 -0.0615918322  0.0122719387
## stat89   -0.0353002924  4.319963e-02 -0.0097775031 -0.0333862356 -1.537144e-01 -0.0574538902 -0.0565692700
## stat90    0.0707585125 -1.746012e-02 -0.0067874130 -0.1095632402 -5.273524e-02  0.0726657136 -0.0199405026
## stat91   -0.0376935858  2.179364e-02 -0.0187258467 -0.0716503175  9.901816e-03 -0.0206970115 -0.0256405617
## stat92   -0.2158791666  1.580449e-02 -0.0598766518 -0.0485662197 -4.734054e-02  0.0469166180 -0.0349321557
## stat93    0.0624155166  5.664012e-02  0.0060627641  0.0024071895 -2.874482e-02 -0.0390176208 -0.0783360838
## stat94    0.0551244184  5.363578e-02 -0.1337057972  0.1290610315 -8.011328e-02 -0.0703252986  0.0675267049
## stat95   -0.0227501500  1.059362e-01 -0.0079243617 -0.1055395415 -3.305952e-02 -0.1255223386 -0.0443199823
## stat96    0.0471388324 -4.163032e-02  0.0240901263  0.0005225549 -9.666416e-02  0.1521381715 -0.0458049035
## stat97    0.0124840001 -5.265738e-02 -0.0243671849  0.0211674225  2.234033e-02  0.0438783057  0.1398318174
## stat98   -0.0488790634  6.915821e-02 -0.0758460011  0.0509044810 -3.920872e-02  0.0227740131  0.0074335359
## stat99    0.0270633223  1.468351e-01 -0.0348358657  0.1012972513 -1.709638e-02  0.1356559911 -0.1011327978
## stat100   0.1009993891 -3.733032e-02 -0.1194549987  0.0447020841  3.081723e-02 -0.0260883301  0.0962806910
## stat101  -0.0607648885  2.500408e-02  0.1593524032  0.0939358826  8.800651e-03 -0.0394187475 -0.0152664946
## stat102   0.0477839617  1.989637e-02 -0.1456297119  0.0700630128  4.332098e-02 -0.0466254748 -0.1167574295
## stat103  -0.0528193633  5.191587e-03  0.0916764358  0.0268936775  1.314812e-01  0.0454086588 -0.0221638253
## stat104  -0.0606653148  7.589683e-02  0.0645859574  0.0118584842  4.867369e-02  0.0731413611  0.0690939301
## stat105  -0.0265088352 -2.403940e-02  0.0661077164 -0.0455724446  7.621969e-02  0.0162784297  0.0319815506
## stat106   0.0239656532 -1.305764e-02 -0.0450561961 -0.1521349728 -1.061012e-01 -0.0276375199  0.0111744759
## stat107   0.0269931154  1.676340e-03 -0.0680135712 -0.0327350101  1.217724e-01 -0.0311129319  0.0255322344
## stat108  -0.0968712810  9.485533e-02  0.0090633545  0.0619993348  8.132060e-03 -0.0543603920  0.0135522066
## stat109  -0.0616457712  3.607714e-03  0.0220566964  0.0302818346  8.827200e-02 -0.0314789453  0.0975093720
## stat110   0.0118361514 -2.672258e-02 -0.0103904575  0.0406056814  3.206110e-02  0.0592689633 -0.0657220578
## stat111  -0.0449208145 -2.923332e-02  0.0077426933  0.0543100043  2.601800e-02  0.0121608159  0.0013425434
## stat112   0.0296434374  6.009229e-03 -0.0882814069 -0.0137110795  3.109900e-02  0.0826443042  0.0017761920
## stat113   0.0002104164 -7.853943e-02 -0.0760554028  0.0522370560 -5.126489e-03  0.0446634810 -0.0088828596
## stat114  -0.0257952700 -6.966996e-02 -0.0040359150 -0.0392911514 -3.234423e-02  0.1609999655  0.0107684048
## stat115   0.1272815124 -3.654052e-02  0.0412956875  0.0357272172 -1.384099e-02 -0.0362878923 -0.0492669131
## stat116   0.0166843609  2.013782e-02 -0.0139682628 -0.0244374676 -6.500068e-02  0.0733905374  0.1144117789
## stat117  -0.0425216366 -3.414540e-02 -0.0494047482 -0.0635482537 -8.288624e-03  0.0172918857 -0.0066237410
## stat118   0.0237113920  5.418189e-02  0.0336552987 -0.0350604247  7.832039e-02  0.0986804474 -0.0425221949
## stat119   0.0098604630 -8.373695e-02 -0.0306794545  0.0385581218 -1.970072e-02 -0.0384018477  0.0733830697
## stat120   0.1433190521  9.650546e-02 -0.1107246556 -0.1236828991  1.000644e-01  0.0366196176 -0.1239234725
## stat121   0.0070798359  2.278338e-02 -0.0254629730 -0.0951058695 -4.271938e-02 -0.0458945806 -0.0244259754
## stat122  -0.0307601039  6.448456e-02  0.0619657980  0.0722276391 -2.331418e-02 -0.1230667063  0.0934345344
## stat123  -0.0478291614 -1.131028e-01 -0.0698929344 -0.0020283393  5.859730e-02 -0.1072497799  0.0129964822
## stat124  -0.0527487881 -1.116436e-02 -0.0680553391  0.0010645686  8.487635e-02  0.0915514470 -0.0295857203
## stat125   0.0097321338  1.357174e-01 -0.0499752967 -0.1304947181 -9.474926e-02  0.0158260616  0.0147083085
## stat126  -0.1163867992 -1.079890e-02 -0.0270891949  0.0250331623 -2.043983e-02 -0.0007656302  0.1110319911
## stat127  -0.0824318719 -2.916191e-02  0.0673597245 -0.0028849065 -8.688635e-03  0.0082622758 -0.0984856931
## stat128   0.0143556988  9.191513e-02  0.0722648901 -0.0466140736  6.485055e-02  0.1192528433  0.0456929046
## stat129  -0.0524153426 -3.648011e-02  0.0630775128  0.0115127506 -2.569818e-03  0.0314462402  0.0915195187
## stat130  -0.0232584358 -5.550499e-02 -0.0372795054  0.0106860983 -2.276855e-02  0.1617169332 -0.0055291143
## stat131  -0.0496910197  9.166566e-02  0.0920337710  0.0166251267  1.446237e-01 -0.0087412104 -0.0035228444
## stat132   0.0587849908  2.075352e-01 -0.0052657590  0.0139216919  1.079203e-01  0.0146590456  0.0732747318
## stat133   0.0661386846  5.188886e-02 -0.0095436492  0.0071423874 -3.328885e-02  0.0323194906  0.0110844883
## stat134   0.0788965583 -4.712118e-02 -0.1341592886 -0.0176514888  6.455133e-02 -0.0517577446 -0.1094438635
## stat135  -0.0239440371 -4.365217e-02  0.0293491178  0.0369568568  4.107767e-02 -0.0023828491 -0.0517669948
## stat136  -0.0152633921 -2.091876e-02  0.0671076286  0.0016260997 -5.662571e-02  0.0411879578 -0.0952628814
## stat137  -0.1077959799  2.177790e-02 -0.0231487118 -0.0178068629 -3.788807e-02 -0.0066322850  0.0213555770
## stat138  -0.0478128167  3.603006e-03  0.0662414386  0.0139508132  4.006326e-02  0.0383488951 -0.1271751208
## stat139  -0.0857033814  9.126619e-02  0.0181402064 -0.0295785481 -7.625706e-02  0.0038882929  0.0557839055
## stat140  -0.0542820202  1.787996e-02 -0.0866738341 -0.0123586540 -1.464085e-01  0.1372797699 -0.0463717833
## stat141   0.0483435434 -7.735246e-04 -0.0173809712  0.0132406470 -4.332334e-02 -0.0817219659  0.0189345962
## stat142  -0.0098153217  8.350914e-02  0.0617150353  0.0325486508 -3.609794e-02  0.0227634273  0.1214446238
## stat143  -0.0130328020 -3.194396e-02 -0.0040773821 -0.0418428646  5.455212e-02 -0.1259907329  0.0884731001
## stat144  -0.0781160107  1.365705e-02 -0.0280044441 -0.1028226476 -1.622839e-02 -0.0348748359  0.0328970818
## stat145   0.0086817260  1.301478e-03 -0.0227517717 -0.0791683393  2.513160e-02 -0.0837064415  0.0615172903
## stat146  -0.0263569114  1.149725e-01 -0.0219915005 -0.0911055301  6.047279e-02 -0.0528232808  0.0578920428
## stat147   0.1148021309 -2.608199e-02 -0.0152488509  0.1101977026 -3.543694e-02  0.0333464234 -0.0280755483
## stat148  -0.0162968816 -7.680084e-02 -0.0860755156  0.0820576503  1.067644e-02  0.0174769026  0.0137525520
## stat149  -0.0184575874 -5.423667e-02  0.0516067622  0.0165821681 -7.656767e-02 -0.0356427588 -0.0202140076
## stat150   0.0476432361  6.654833e-03  0.0570140428 -0.0616608655  4.678405e-02  0.0028722012  0.0599269422
## stat151   0.1173822478 -5.896661e-02 -0.0608688608 -0.0668768627 -1.378640e-01  0.0049986545  0.0901286518
## stat152   0.0395140357  4.176922e-02  0.0641477248  0.0589961783  3.058396e-02  0.0027044299 -0.0147038334
## stat153  -0.0879301797 -5.783551e-02  0.0225240947  0.0164764261 -7.901059e-02 -0.0721620523 -0.0380052218
## stat154  -0.0217296918  2.784634e-03  0.0068640653 -0.0612083519  1.928023e-02  0.0699379508  0.0318201358
## stat155   0.0560167868  1.026153e-02 -0.0615796956  0.1068154504  2.448654e-02  0.0250850362 -0.0233552916
## stat156  -0.1094838132  1.148680e-01 -0.0456464489 -0.0223275791 -9.021275e-02  0.0186557787 -0.0207898969
## stat157  -0.1069753308 -1.338372e-02  0.0525596930 -0.0167072507 -1.317166e-01  0.0389667779  0.0149821085
## stat158   0.0265896899 -5.527131e-02  0.0295912804 -0.0927365941 -3.329375e-02 -0.1236605538 -0.0504844486
## stat159  -0.0519237978 -1.702912e-01  0.0024117048 -0.0238859837 -7.141871e-02 -0.0349618867 -0.0570699363
## stat160   0.0742311112 -3.613213e-02  0.1116901057 -0.0031322895  2.456054e-02  0.0460306595 -0.1129557731
## stat161  -0.0126955515  1.014265e-01 -0.0947528848  0.0236081575  5.994850e-02  0.1915856376  0.0048591140
## stat162  -0.0249473939  3.967658e-02 -0.1419210785 -0.0060643262 -5.748105e-02 -0.0821549810  0.0545876775
## stat163   0.0598060754 -8.752774e-02  0.0286887410 -0.0363668633  4.478543e-02  0.0919794154 -0.0380446129
## stat164  -0.1449349521 -1.677005e-02 -0.0463318643 -0.0159103683 -6.881194e-02 -0.0869719897 -0.0647460534
## stat165  -0.0752235883 -5.479416e-02  0.0851570825  0.0323962095 -1.086289e-01 -0.0751062618  0.0205500826
## stat166   0.0819870171 -4.400538e-03 -0.0130303946 -0.0137411642  1.568323e-01 -0.0597264639 -0.0457019305
## stat167   0.0410842364  1.035531e-01 -0.1882678850  0.0677191400  1.899751e-02 -0.1250817255 -0.0338407071
## stat168   0.0858104070  7.185506e-02  0.0176167425  0.0062428837 -5.961522e-02  0.0271155460  0.0023981833
## stat169   0.0651773963 -6.469024e-02 -0.0407545050 -0.0586126594  1.199862e-01 -0.0984068625 -0.0387774982
## stat170   0.1559767416 -5.922738e-02 -0.0623035829 -0.0091819557 -7.204715e-02 -0.0367671396 -0.0553325845
## stat171  -0.0877839033  1.047186e-01 -0.0696376095  0.0649847278  3.144931e-02 -0.0439420922 -0.0676171938
## stat172   0.0409757058  7.822380e-02  0.1112995755  0.0155000022  5.952702e-02 -0.0655085389  0.0984479444
## stat173  -0.0313430234 -1.622175e-01 -0.0097175416  0.0647190028  2.722246e-02 -0.1101424952  0.0298768769
## stat174   0.0607601820  3.766986e-02  0.1342414396  0.0200111556 -1.104440e-01  0.0016513392  0.0214017679
## stat175   0.1301411485 -7.246135e-02 -0.0018126642 -0.0732018385 -4.427781e-02  0.0152176339  0.0113827018
## stat176   0.0468780322 -4.740385e-03 -0.0694813474 -0.0460334561 -1.340533e-01  0.0392325691  0.0646719219
## stat177  -0.0759489578 -5.160529e-02  0.0043879664  0.0048323213  3.837898e-02 -0.0088751142  0.0208296564
## stat178   0.0191212337  2.611599e-02 -0.0676421466 -0.0444288904  7.481791e-03  0.0193947745  0.1388221407
## stat179  -0.1272227506  8.049377e-02 -0.0116996296 -0.0640914489 -3.359394e-02 -0.0078162561  0.0012512086
## stat180  -0.0008949951 -2.366521e-03  0.0255724902 -0.0742121703 -6.598718e-03  0.0010878669  0.0704344942
## stat181  -0.0093907597 -1.275098e-02  0.0367770505 -0.0367641086  3.924645e-02 -0.0140049560  0.0950398454
## stat182   0.0252189078  4.133531e-02  0.0422746705 -0.1595400233  3.016868e-02  0.0449263282 -0.0020888842
## stat183  -0.0039702442  2.937177e-02 -0.0779659045 -0.0539020979 -1.547563e-03  0.0034052060  0.0021082067
## stat184   0.0700391798 -1.456377e-02 -0.0909408797  0.0007160206 -6.910279e-02  0.0201300550  0.0271062000
## stat185   0.0425749422  3.584195e-02 -0.0544363252 -0.0180314673  8.583155e-02 -0.0996442035 -0.0653725439
## stat186  -0.0483083405  2.622134e-02 -0.1212756936 -0.0127002590 -1.106336e-01 -0.0349244027 -0.0618473226
## stat187   0.0435411598 -2.322376e-03 -0.0122317485 -0.1364450802 -8.623679e-02 -0.0707856019  0.0653050713
## stat188   0.0997695954 -1.295847e-01  0.0632959502 -0.0270528757  5.754465e-02 -0.0086363175  0.0020009339
## stat189   0.0144125104 -6.000167e-02  0.0280175909 -0.0167454746 -1.640912e-02  0.0138032635  0.0072358407
## stat190  -0.0303450640  1.775267e-02  0.0432683134  0.0554621870  6.369409e-02 -0.0083259388  0.0385387530
## stat191   0.0178783819  9.379588e-02  0.0787904549 -0.0327422747  2.793063e-02  0.0358150932  0.0545222688
## stat192   0.0634321487  9.141464e-02  0.0319158231 -0.0736027795  9.258085e-02 -0.1328947731 -0.0278020545
## stat193  -0.0672272160 -8.665846e-02 -0.0484703133 -0.0678253907 -1.464139e-02 -0.0946151544  0.0755864399
## stat194  -0.1560891574  8.395136e-02 -0.0253284570  0.0552041835 -4.352570e-02  0.0454838366 -0.0130490522
## stat195   0.0416698390 -1.149245e-01 -0.0535290419  0.0279039720 -2.040073e-01  0.0614962284 -0.0749842667
## stat196   0.0015295775 -5.382412e-02  0.0296041163 -0.1275513729 -4.225309e-02 -0.0245313841 -0.0249301836
## stat197  -0.0014038509  4.766898e-02 -0.0468034701 -0.0300474027  8.939602e-03  0.0317900066  0.0630159109
## stat198   0.0337389729  1.602922e-03 -0.0690139712  0.0058673979 -2.246726e-02 -0.0017443796  0.0836718723
## stat199  -0.0120889344  3.897545e-03 -0.1160337835  0.0530545370  3.045261e-02 -0.0501301971  0.0422145686
## stat200   0.0089782304  7.607672e-02 -0.0590675723  0.0721316166 -5.625207e-02 -0.0604350450 -0.0044384056
## stat201  -0.0311301544  1.150787e-01 -0.0073358095  0.0602411002 -5.034200e-02 -0.0077115315 -0.0690203858
## stat202  -0.0183447661 -2.650107e-03  0.0612995901 -0.0049394644 -4.501929e-02  0.0593678232 -0.0049623842
## stat203  -0.0371524786 -5.647238e-02  0.0081940566 -0.1376381237  8.815183e-02  0.0132400378  0.0483740932
## stat204  -0.0232752161 -4.971459e-03  0.1109149053 -0.0931922097  5.899060e-02  0.0204128519  0.0386939963
## stat205   0.1114262628  5.458981e-02 -0.0319995646  0.0152702979 -5.978056e-02  0.0099175601 -0.0600265941
## stat206  -0.0465574180  3.668027e-02 -0.0049502457  0.1092327698 -7.999674e-02 -0.0495515561 -0.0234808910
## stat207  -0.0341651809 -7.012986e-03 -0.0028060295  0.0111559177  7.214185e-05 -0.0507860206 -0.0437282130
## stat208  -0.1428505356  6.249478e-02  0.1135801875  0.1163172022 -1.983291e-03 -0.0197065042  0.0991535540
## stat209  -0.0240490774  7.087926e-03 -0.0407760860 -0.0588532877  1.235187e-01 -0.0191771333  0.0319374399
## stat210   0.0721990129 -8.341672e-02 -0.0582795573  0.0641215228 -7.292576e-02  0.0564297405  0.0265613017
## stat211   0.0177285316 -5.477066e-02  0.0924436869 -0.0688289312  4.845695e-02 -0.0848293249 -0.1330046802
## stat212  -0.0130460660 -1.618287e-02  0.0462417922  0.0049523858  3.725303e-02 -0.0043572619  0.0079327415
## stat213  -0.0385429902 -4.923456e-02  0.0775125936  0.0696158980 -4.138067e-02 -0.0337754859  0.0414761682
## stat214  -0.0719383501  8.196649e-02  0.0425930391 -0.1519628223 -8.349504e-02 -0.0554225237 -0.0990998866
## stat215  -0.0167450642  7.831110e-02  0.0691780597 -0.0390649185 -1.215139e-02  0.0341511165  0.0056595032
## stat216   0.0700227424  6.648661e-02 -0.0305445855  0.0032203858 -2.744544e-02 -0.1179605569  0.0518780274
## stat217  -0.0242216410 -1.205532e-01 -0.0628295300 -0.0236199907  5.364242e-02  0.1203694048  0.1434286353
## x18.sqrt  0.0175417740  4.241585e-02 -0.0691074370  0.0488049358 -8.102025e-03 -0.0797384625  0.0315052987
##                  PC160         PC161         PC162         PC163         PC164         PC165         PC166
## x1        0.1170237785 -2.359380e-02 -0.1134370769 -0.0845881419  0.1111196169  0.0076632413  0.0323613751
## x2       -0.0351361560 -6.218226e-02 -0.0121100458 -0.0327396667  0.0088916490 -0.1332444879  0.0575238793
## x3        0.0039832015  3.400830e-02  0.0022627954  0.0523006780 -0.0119083662 -0.0166367278  0.0112640797
## x4        0.0019626070 -3.716521e-02 -0.0482447870  0.0685693098  0.0219781550  0.0009773150 -0.1004752133
## x5       -0.0126818642  1.670602e-02 -0.0719873667  0.0370330093  0.0248696608 -0.0627758575  0.0187459615
## x6       -0.0515917654 -1.678598e-03 -0.0256648892  0.0009178732  0.0861055381  0.0213576414 -0.0114730701
## x7       -0.1494461388  1.324508e-02  0.0502695184  0.0198711854 -0.0252526233 -0.0601378093  0.1410433254
## x8       -0.1474550343 -4.961868e-02  0.0375551345 -0.0771495245  0.0609412758 -0.0843861001 -0.1471007245
## x9       -0.0344973178  2.220017e-02  0.1288201585 -0.0426415918  0.0279947354  0.0504215850  0.0087289695
## x10       0.0418329169  4.430719e-02 -0.1022059298 -0.0585041386 -0.0202424634 -0.0235479853  0.0358036831
## x11      -0.0177659304 -7.170722e-05 -0.0585659726  0.0624532100  0.1112495083 -0.1017355942 -0.0248367803
## x12      -0.0615927673 -1.062977e-01  0.0631739530  0.0056552261  0.1142342289  0.1358962757  0.0655551713
## x13      -0.0976387803  3.367690e-02  0.0315570042  0.0549431764  0.0325164089  0.1023176582  0.0745571032
## x14      -0.0120797430  1.534733e-01 -0.1051417824  0.0121685819  0.1818121000  0.0172924620 -0.1044049723
## x15       0.1436080407  5.460912e-02 -0.0317824984 -0.0180641468 -0.0161180430  0.0452281860  0.0966434856
## x16       0.0632753048  2.139037e-02 -0.0277927792  0.0227400444 -0.0049626052  0.0059106286 -0.0539134460
## x17       0.0610899035 -5.297700e-02  0.0581315768 -0.0614345259  0.1049574730 -0.0880072412  0.1410476203
## x19       0.0462934441 -4.396457e-02 -0.0041953932 -0.0487218887  0.0251980385 -0.0891596842 -0.0166929669
## x20      -0.0465661920  6.449662e-03 -0.0253208156 -0.1611309869  0.0327194548 -0.0532592571  0.0516117180
## x21       0.0096393445  8.648849e-02 -0.0296952125 -0.0420711717 -0.1033844615 -0.0041514359 -0.0117057311
## x22       0.0437718501 -8.846764e-02  0.0044526547  0.0096143779  0.1011069062 -0.0646622108 -0.0714158078
## x23       0.0834046522  5.491386e-02 -0.0380851777  0.0069301043 -0.0428933315 -0.1621060950 -0.0251553734
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## stat141   0.0804914200 -2.954457e-02  0.0104786556 -0.0168038202  0.0132299603  0.0072576488 -0.0108390822
## stat142   0.0680642509  2.497585e-02  0.1117408435  0.0333944664  0.0827145295 -0.1056430010  0.0087496097
## stat143   0.0328592332 -6.925434e-02  0.0011419119 -0.0652771085  0.0466337712 -0.0181051948  0.0534199880
## stat144   0.0630064640  7.812932e-03 -0.0957806263 -0.0059811506 -0.0724834419 -0.0078803901  0.0450091728
## stat145  -0.0887348710  9.730676e-03 -0.0167101736 -0.0021961324  0.0392256768 -0.0418569559  0.1243793814
## stat146   0.0732815282  2.556383e-02 -0.0538751832  0.0447051312  0.0466174662 -0.0160332649 -0.0706043594
## stat147  -0.0267611909  7.863027e-02 -0.1070561043  0.0389008758  0.0391125120 -0.0720098546 -0.0233506535
## stat148  -0.1083355809  2.234082e-02  0.0263957879  0.0899517593  0.1521315784  0.0270549257  0.0047584169
## stat149  -0.0481160653 -9.365956e-02  0.0864617245 -0.0110429276 -0.0022753192 -0.1325276892  0.0005032023
## stat150  -0.0406834928  5.975102e-02  0.1381595513  0.0100620614 -0.0955050127  0.0693189015 -0.0396945405
## stat151   0.0049261512 -7.891604e-02 -0.1785688477  0.0504226888  0.0367625723  0.0199851754 -0.0427332362
## stat152  -0.0947601398 -9.312774e-02 -0.1449560322  0.1361691571 -0.1138966429 -0.0821019908 -0.1285556607
## stat153  -0.1056210513  1.124149e-01 -0.0787395847  0.0398065728 -0.0396439116 -0.0237640148 -0.0166819572
## stat154   0.0047213889  4.658702e-02  0.0894411040  0.0045988829 -0.0520623731 -0.0562675019 -0.0050006928
## stat155   0.0842825146 -5.156271e-02  0.1034009917  0.0060459743  0.0131626217  0.0598930756 -0.0295380521
## stat156  -0.0451343351 -3.417910e-02 -0.1397530888  0.0144508047 -0.0247525157  0.0095472099  0.0089280574
## stat157  -0.0055133805 -2.890771e-02 -0.0899468379  0.0374524435 -0.0715723432  0.1402259677 -0.1232825877
## stat158   0.0225278109  8.705746e-02  0.0313010820 -0.0648738805  0.0080111431 -0.0740200729 -0.1690522366
## stat159  -0.0085366032 -1.163727e-02  0.0097592186  0.1532280195  0.0278949363 -0.0426847073  0.0833166528
## stat160  -0.0851346632  1.457622e-01  0.0324695449 -0.0313071787  0.1383702436 -0.0134177394  0.1068245412
## stat161   0.0335195992  1.852667e-02  0.0411686942 -0.0340335336 -0.0452116261  0.0480665369 -0.0547046937
## stat162  -0.1117042980 -8.362182e-03  0.0279059800 -0.0962299399  0.0333461270 -0.0212878365 -0.0122127094
## stat163   0.0614760131  4.997446e-02  0.0292352801 -0.0422747443 -0.0065215308 -0.0751487083 -0.0752203716
## stat164   0.0029748721  5.760674e-02 -0.0810450351 -0.0325271272 -0.0508637841 -0.0317393045  0.0244048763
## stat165  -0.0737365138 -2.531013e-02 -0.0716316097 -0.0038398617 -0.0322101974  0.0116506905  0.0213209917
## stat166   0.0154040133 -7.835811e-02  0.0286639329 -0.0368670164 -0.0006857572 -0.0063089942 -0.0284784588
## stat167   0.0086884464 -1.664877e-02 -0.0875843900  0.0047873785  0.0046838758 -0.0404914903  0.0297842388
## stat168   0.0131901144 -5.508852e-03  0.0962522296 -0.0281261929 -0.0277509771 -0.0266638556  0.1664380967
## stat169   0.0319414377 -8.976220e-03  0.0795211082  0.0866012102 -0.0376733296  0.1005052505 -0.0954844335
## stat170  -0.0450403896  7.264850e-02 -0.0001793771  0.0624359847 -0.1164395516 -0.0072350027  0.0189830926
## stat171   0.0179372566  5.136978e-03 -0.0173528835  0.0709354026  0.0278588510 -0.0101317331 -0.0834381939
## stat172   0.0311035788 -6.930738e-02 -0.0745554591 -0.0311945154 -0.0534316087  0.0051492887  0.0489272024
## stat173  -0.0717082465 -8.151498e-02  0.0750294783 -0.1253483325  0.0298235313 -0.0587714927 -0.0377006106
## stat174  -0.0768874423 -9.662484e-02  0.0102415163  0.0461322723  0.0747684575 -0.0777659961 -0.0379389744
## stat175  -0.0126898966 -7.808169e-02  0.0413172584 -0.0373147304 -0.0830082255 -0.0516130688  0.0996365447
## stat176  -0.0071401567  4.057154e-02  0.1372020195  0.0592122084  0.0657222870 -0.0588843660 -0.0271167381
## stat177   0.0307978147  2.104493e-02 -0.0413310484  0.0289729501  0.0001477966 -0.0430580833  0.0165202674
## stat178   0.0957085472 -4.401034e-02  0.0657813235 -0.0650078620  0.1141012182 -0.0442866470 -0.0624075446
## stat179  -0.0157381688  1.450057e-01  0.0021437189 -0.0260750828  0.0330846079  0.0133200745 -0.1014251328
## stat180   0.0239505852  1.391524e-02  0.0108361663 -0.0265312568  0.0711372235 -0.0950834081 -0.0253926496
## stat181  -0.0568773839  1.069449e-01  0.0348267055  0.0538003749  0.0664012019  0.0520415031 -0.0377896427
## stat182   0.0940846885  8.594787e-02  0.0244711353  0.0844086471 -0.0545646647 -0.0553893476 -0.0821895429
## stat183  -0.0596108605 -7.786261e-02  0.0043836121  0.0547707755  0.0194734855 -0.0652087044 -0.0588076232
## stat184  -0.1051373313  4.596877e-02  0.0306242983 -0.0689042894  0.0181054804  0.0114345369 -0.0026048472
## stat185  -0.0146421889  7.216200e-02  0.0220463027  0.0126256662  0.0478028413 -0.0759297736 -0.0043758234
## stat186   0.0237080876  7.442248e-02  0.0377264077  0.0844171172  0.0669115937  0.0037263711  0.0013232014
## stat187  -0.0365481556  1.442356e-01  0.0173938722  0.0749269230 -0.0587411390 -0.0885203802 -0.0659550710
## stat188   0.1016329359  1.068197e-01  0.0423295378  0.0365552629 -0.0858497223  0.0885711771 -0.0627618336
## stat189  -0.0478868682 -5.402965e-02 -0.0578244153  0.0586585230  0.0297407686  0.0574547885 -0.0624312805
## stat190   0.0627870303  2.550494e-02  0.0943191681  0.0305189974 -0.0537898344 -0.0117174357 -0.0443518392
## stat191   0.0230972032  4.534739e-02  0.0118226996  0.0239325436 -0.0716213205 -0.0440191732  0.0842608547
## stat192  -0.0609202540  1.627762e-02  0.1095809607  0.0725108515 -0.0467228576  0.0703393422  0.0586232625
## stat193  -0.1082218093  5.945735e-02 -0.0938073122 -0.0047157708 -0.0110512148  0.1068714236  0.0394388125
## stat194   0.0174133295 -1.438309e-01 -0.0055170024 -0.0429672757 -0.0524086000  0.0403506180  0.0187826055
## stat195   0.0365575898 -1.449342e-01  0.0608552014  0.0565293366 -0.0708092019  0.0072313175 -0.0509974899
## stat196   0.0340955009 -1.218609e-02  0.1391649605 -0.1561484155  0.0313919765  0.0868630465  0.1156117889
## stat197   0.1064406100 -1.148882e-01 -0.0470214691  0.0184912374  0.0326840792  0.0336700063  0.1564761738
## stat198   0.1021411364  5.226548e-03 -0.0526326959 -0.0941831901  0.0089455810  0.0066335131  0.0488621485
## stat199  -0.0235453885  6.013124e-02 -0.0563246231 -0.1441570524 -0.0130407754  0.0927887523 -0.0554287389
## stat200  -0.0695364846  8.114499e-02  0.0710036037  0.0517918011 -0.0433334092 -0.0276453746 -0.0520562128
## stat201   0.0380699239 -1.390451e-01 -0.0377674690 -0.0388582399  0.0869683518  0.0252625051 -0.0604334866
## stat202   0.0368338267  5.670699e-03 -0.0161802638 -0.0600541013  0.0353459739 -0.1334864431 -0.0195539590
## stat203  -0.0235391353 -1.300183e-02  0.0399325210  0.0386919076 -0.0053314556  0.1171049538 -0.0190481186
## stat204  -0.0446199928 -4.287913e-03  0.0025476243 -0.1352451225  0.0724279011  0.0201142223  0.0633181041
## stat205  -0.0539228073  1.209244e-01  0.0271406133 -0.0869239827 -0.1463892387 -0.0351641997 -0.0231928409
## stat206   0.0150017195 -1.537958e-02 -0.1221518828  0.0444263868 -0.0557398605  0.0125318410 -0.0070920062
## stat207   0.0882062021  9.767170e-02  0.0035026411 -0.0436534644  0.0084563691  0.1078061384 -0.0599667265
## stat208  -0.0038438998  7.157880e-02  0.0247653986 -0.0796250917  0.0164830420 -0.0325071806  0.0199333945
## stat209  -0.1589239691 -6.933932e-02 -0.0173780301  0.0618708084 -0.0434202536  0.0828214024  0.0331164447
## stat210  -0.0555402857  1.013798e-01  0.0106488925 -0.0044466704 -0.0189381203  0.0176716649 -0.0061534439
## stat211  -0.0531897496  1.196346e-02 -0.0854925475  0.0228831515  0.0905614523 -0.0446285682 -0.0365757321
## stat212   0.1378656689  4.564758e-02  0.0331590802  0.0192243080 -0.0206286351  0.0795675412 -0.0104325273
## stat213  -0.1671898844  1.575047e-01  0.0402461580  0.0547971323 -0.0010912481  0.0148645050  0.0352058853
## stat214  -0.0307886331 -1.429955e-02 -0.0312702961  0.0614448285 -0.0156305219 -0.1009210782  0.0903379741
## stat215  -0.1086224477 -3.942024e-02  0.0452570451  0.0479990869  0.0056360166  0.0757439717 -0.0633741430
## stat216   0.1401671965 -9.626384e-02  0.0140441090  0.0884823424 -0.0796515633 -0.0101606932 -0.1132899854
## stat217  -0.0685342862 -5.063607e-02 -0.0109731827  0.0152952115  0.0739873022  0.0154681443 -0.0388676521
## x18.sqrt -0.0215281315 -1.650062e-02  0.1289692831 -0.0773966861  0.0386829121  0.0321863513 -0.0252483067
##                  PC167         PC168         PC169        PC170         PC171         PC172         PC173         PC174
## x1       -0.0481075535 -0.0101138182 -2.903043e-02 -0.008520471  0.0959275697  0.0286778348 -0.0069822977 -0.0539830270
## x2        0.0348751429 -0.0272535319  6.884881e-02 -0.055490263  0.0220448921 -0.0248201893  0.0275488102  0.1280326778
## x3        0.0627563465 -0.1161686762 -7.356595e-05 -0.110648013 -0.1390135790 -0.0253109572  0.0452621555  0.0503789554
## x4       -0.1006328433  0.0795134961  2.291774e-02 -0.030378439 -0.0201459500  0.0477619881  0.0714454624  0.0925485918
## x5       -0.0042234071  0.0178947656 -3.508769e-02 -0.047980221 -0.0979551549  0.0436849952 -0.0919304082 -0.0521382456
## x6        0.0864566443  0.0353386826 -1.181564e-02 -0.020540478  0.0062271743 -0.0652754592  0.0107519370 -0.0758253738
## x7        0.0252339901  0.0555353367  1.623262e-01  0.023068036 -0.0374744036  0.0017109986 -0.1041208846  0.0394056764
## x8       -0.0116719576  0.0717055126  6.972768e-02  0.130946895  0.0775758813 -0.0465641745 -0.0339604915 -0.0570518620
## x9       -0.0795362213 -0.0591219460  7.343002e-02  0.070747394  0.0341930631 -0.0216510354 -0.0619778637 -0.0366474411
## x10      -0.0214849823 -0.0858009073  5.237776e-02  0.050738461  0.0359684203 -0.0354699212  0.0652319126  0.0008610648
## x11       0.0698168142 -0.0606020714 -1.120899e-02  0.001775662 -0.0353548384 -0.0378987271 -0.0345871648  0.0266633812
## x12      -0.0542298624  0.0072757712 -1.017984e-01  0.090465862 -0.0162884868  0.0470868017 -0.0142407815  0.0253740172
## x13      -0.1169969886  0.0582484992  9.525813e-02 -0.031350728  0.1209534190  0.0430679445  0.0679809995 -0.0911588041
## x14       0.0361324810  0.0768053093  1.103957e-01 -0.072738643 -0.1284966234  0.0863098762 -0.0220927198  0.0757921222
## x15       0.0619484772 -0.0669659189 -8.512779e-02  0.037204015 -0.0161540034  0.0092260654  0.0122735034 -0.0768946779
## x16       0.0491612122  0.0457302292 -4.456467e-02  0.047016638 -0.0134015051 -0.0110162297 -0.1299430476  0.0287074490
## x17      -0.0819721045  0.0258559434 -3.322433e-02  0.024614447  0.0372837240  0.0308585147  0.0236459936  0.0203548386
## x19       0.0928925595 -0.1058385416  4.976960e-02 -0.013560113  0.0164788768  0.0094766113  0.0840291094  0.0176029408
## x20       0.0131607051  0.0011690339  1.260448e-01 -0.042804263 -0.0447907799 -0.0249413023  0.0547206482 -0.0525303049
## x21      -0.0400670357 -0.0505781184 -2.574208e-03  0.153528591  0.0886632404 -0.1436829500 -0.0327608570 -0.0171457783
## x22       0.0828269475 -0.0507930557  9.838804e-02  0.031590017  0.0164940037  0.0135544390 -0.0399378737  0.1411895997
## x23       0.0056532290  0.0174436160  8.748166e-02 -0.052068024  0.0358450606  0.0701770813  0.0786428828  0.0532558127
## stat1    -0.1938395693  0.0205794380 -9.700972e-03 -0.030917242 -0.0124072277 -0.0380647165 -0.0684614608 -0.1132184465
## stat2    -0.0413188158 -0.0361779890 -1.014392e-02 -0.013230101  0.0181577438  0.0431539534 -0.0133237942  0.0295125253
## stat3    -0.0362907395  0.0303569398  7.191192e-02  0.067430212  0.0653860533  0.0541597999 -0.0067655659  0.1115335149
## stat4    -0.0205986350 -0.0345855593 -3.857706e-02 -0.055515791 -0.0123547837 -0.0902280941  0.0685153215  0.0163660957
## stat5    -0.0821027937  0.0301081537 -2.344249e-02  0.003803243  0.0725732279  0.0040641826 -0.0337713834 -0.0641985873
## stat6    -0.0376110818 -0.0197070111 -3.291251e-02  0.077767712 -0.1032440510  0.0372847255  0.0553043471 -0.1037482815
## stat7     0.1282522444 -0.1312389666 -5.329817e-02  0.053931497 -0.0018787342  0.0315405454 -0.0856829268  0.0124765583
## stat8    -0.1178840828  0.0481220647 -4.593150e-02 -0.070308212  0.0543999127  0.0431289474 -0.1767401141 -0.0146597920
## stat9    -0.0598307853  0.1050678409 -1.139934e-02  0.049330904 -0.0627156467 -0.1021393150  0.0716551799  0.0460709640
## stat10    0.0151107017  0.0961303513 -7.708837e-02 -0.076814888  0.0807269597  0.0239534427  0.0418392367 -0.0144272165
## stat11   -0.0964574312 -0.1082795167  4.960992e-02 -0.096683336  0.1091829758 -0.0125431512  0.0127238271 -0.0587667058
## stat12    0.0188944154 -0.0525211880 -1.023714e-02 -0.095037956 -0.0172706124 -0.0057506199  0.1016789147 -0.0762666516
## stat13   -0.0253022993 -0.0060923271  3.642573e-02  0.011331378  0.0401436508  0.0421930050 -0.1112940901  0.0860660541
## stat14   -0.1132880756 -0.0166619486 -4.910380e-02  0.040941512 -0.1649542261 -0.0889672774 -0.0409462767  0.0017703203
## stat15   -0.0218622918  0.1145623230 -1.215637e-01 -0.027049172 -0.0529454003 -0.0295897822  0.0651733724  0.0457855412
## stat16   -0.0673323882  0.0820560244 -2.466012e-02  0.080968096 -0.0606485991 -0.1375671775 -0.0548550523  0.0008542976
## stat17   -0.0075331425  0.0574042510  1.055601e-01 -0.085322405 -0.0139730951  0.0104304263  0.1232372945 -0.0001301077
## stat18   -0.0757398500 -0.0123836601  2.853103e-02 -0.023906915  0.0769370945  0.0201014187  0.1154570699 -0.1473391363
## stat19    0.0519863960 -0.0617095514 -1.461384e-02  0.010954821  0.0602664766 -0.0864312115 -0.0620429826  0.0327689381
## stat20   -0.0071772731 -0.1060740122 -1.210397e-01 -0.011426234  0.0055694599 -0.0007675821  0.0051857222  0.0824333287
## stat21   -0.0136500859  0.0387827518 -4.246274e-02  0.037718935 -0.0316043293  0.0853517469 -0.1184210373  0.0166214158
## stat22    0.0359531344  0.0396334180  4.482627e-03  0.062453258  0.0565913504 -0.0691795822 -0.0228456539  0.0381314540
## stat23    0.0805433711 -0.0915878081 -3.313958e-02  0.147719196 -0.1092152962 -0.0120474128 -0.0056737654 -0.0590119503
## stat24   -0.0480475713  0.0220550236 -1.614345e-02 -0.036011595 -0.0070924078  0.0398687809 -0.0809132545 -0.0877692848
## stat25    0.0002198978  0.0627870057 -1.349497e-01  0.024848269  0.0283375184 -0.0036845723 -0.0111341454  0.0449149180
## stat26   -0.0411757635 -0.0585170432 -8.496841e-02  0.020821193 -0.1047870153  0.0061602132 -0.0054305095 -0.1699676515
## stat27    0.0431409542 -0.0551169388  3.761096e-02 -0.078644658 -0.0221168632  0.0000352572 -0.0273205511 -0.0018733226
## stat28    0.0704468631  0.0349259927  3.910380e-02 -0.008842678  0.0251268470 -0.0671002800 -0.0143755183 -0.0042846518
## stat29    0.0309416720 -0.0344823775 -1.593384e-01 -0.036960456  0.0354914182 -0.1202472050 -0.0130638616  0.0567409881
## stat30    0.0470623272  0.1181655093  2.816342e-02 -0.127717685  0.0204117241  0.1152227259 -0.1506894435  0.0350095743
## stat31   -0.0188962153  0.0076083006 -7.277690e-02  0.115233684 -0.1272717223  0.0263594371 -0.0088986979 -0.0164684972
## stat32   -0.0118782200  0.0073302015 -2.216837e-03 -0.144454296 -0.0543477373  0.0000615023 -0.0718875543  0.0323194108
## stat33   -0.0401364902 -0.0105666089  3.774056e-02  0.099778774 -0.0207207293 -0.0707107200  0.0372581890  0.0903339027
## stat34   -0.1103629603 -0.0324913422  4.525515e-02  0.111561501  0.0213117324 -0.0371803826  0.0107852942  0.0428956804
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## stat159   0.0822821017  0.0584204349 -1.231303e-01  0.050057421  0.0812455810  0.0549236686 -0.0408911066 -0.0224163109
## stat160   0.0884089735  0.0363002152  7.686290e-02 -0.019376807  0.0313814395  0.0974544678  0.0057251337  0.0260976460
## stat161  -0.0285324198 -0.1479283526  4.764980e-02  0.005568943  0.1296044685 -0.0560011226 -0.0525278364 -0.0683811689
## stat162  -0.0339616037 -0.0621348247 -2.625378e-02  0.124059436  0.0430330361  0.0111341009 -0.0479521962 -0.0690322510
## stat163   0.0207283008  0.0287132055 -6.281827e-02 -0.041228083  0.0621485273 -0.0239652465  0.1074957684  0.0424821376
## stat164  -0.0686692527 -0.0551131639  3.636590e-02 -0.055342784  0.0114430428  0.0752209603  0.0335391538  0.0214074608
## stat165  -0.0390180427 -0.0749577781 -9.706792e-02 -0.017994664 -0.0357989429 -0.0140054633  0.0305265810  0.0585024832
## stat166  -0.1049773336 -0.0385297171  2.278858e-02  0.016787139 -0.0337682547  0.0384456004  0.0276886893  0.0083997664
## stat167   0.0143039392  0.2340352227 -2.179445e-02  0.034376884  0.0475700542  0.1555181882  0.0050376409  0.0361475722
## stat168  -0.0708780666  0.0864857899 -1.259261e-02  0.008716378 -0.0156660949 -0.0251019968 -0.0297474227  0.0596280448
## stat169   0.0205058593  0.0104043290  5.562558e-02  0.084408911 -0.0194599264  0.0443264577 -0.0999073440 -0.0369823351
## stat170   0.0597836021  0.0861932471  9.257255e-02  0.010300253 -0.0214299745  0.0314794365 -0.0298528321  0.0388373343
## stat171   0.0131839148 -0.0223268530 -7.928778e-02  0.046791595  0.1079809524 -0.0941219926  0.1040335308 -0.0208706143
## stat172   0.0712324168  0.0658602492  7.716998e-02 -0.106076187  0.0091171611  0.0489990715  0.0701760848 -0.0538912475
## stat173   0.0112921576  0.0276963526  6.254957e-02  0.033418138  0.0184075302  0.0317668361 -0.0409942708 -0.0814353382
## stat174  -0.0570465948 -0.1129453000  3.216124e-02  0.072301062 -0.0067402472  0.0425683902 -0.0344456274  0.0295059472
## stat175   0.1124416168 -0.0315743328 -1.979119e-02  0.078551317  0.0636049112  0.0005616922 -0.0369662015  0.0439983729
## stat176   0.0680872908 -0.0326322640 -2.580508e-02  0.043601842 -0.0959787479 -0.0865048781  0.0157777970  0.0013923504
## stat177  -0.0121941876  0.0631379732  5.753052e-02 -0.009473410  0.0388709999  0.0554825938 -0.0576037229  0.0320982637
## stat178   0.0235561775  0.0089311770  4.672419e-02  0.017354268 -0.0673265090 -0.0662638441  0.0201864176 -0.0262872494
## stat179   0.0621296391  0.0499968805 -2.084113e-02 -0.003731900  0.0101100487  0.1788222851  0.0032844319 -0.0630925371
## stat180   0.0444167892 -0.0623426308 -9.280124e-02  0.037727679  0.0632748297 -0.0739440096 -0.0570643177  0.0356656730
## stat181   0.0892512746  0.0253602261  1.380420e-01  0.114274746  0.0152715536 -0.0059762564 -0.0456012275 -0.0500748358
## stat182   0.0082520543 -0.1105493402 -4.167397e-03 -0.065269733 -0.1080727205  0.0009058637  0.0299131186  0.0519618179
## stat183  -0.0667709900 -0.0402549255 -2.685058e-02 -0.019467978  0.0687349928  0.0319929470  0.0014439064  0.0239289861
## stat184   0.0085120212  0.1575047723 -1.681001e-03 -0.045360347  0.0836806498 -0.0843108412  0.0742671542  0.0185685937
## stat185  -0.1101299179  0.0331748852 -2.802377e-02  0.038975673  0.1232649347 -0.0334280216  0.1454639988 -0.0389492266
## stat186   0.0512741199 -0.0597416419  5.044837e-02 -0.058760115 -0.0418419696 -0.1098470460 -0.0322450069 -0.0748602578
## stat187  -0.0945370767 -0.0014683861  2.409416e-03 -0.004480302  0.0393364256  0.0930436254  0.0400236450 -0.0957954853
## stat188   0.0752335197 -0.0085759149  3.419169e-02  0.012293237  0.1419449206  0.0708375049  0.0901344748 -0.0902976165
## stat189   0.0052989176  0.0190704685  3.644030e-02 -0.110143876 -0.0397656358  0.0880956936  0.0752163903  0.0260318540
## stat190  -0.1404353864  0.0188998578  1.095872e-01  0.037195738 -0.0513938100 -0.0227889283  0.1123209373 -0.0205146731
## stat191  -0.0406254889 -0.0495476926 -1.025134e-02 -0.073443288  0.0292821444 -0.0240755944 -0.0568241522 -0.0616523489
## stat192   0.1185377759  0.1213275731 -4.858537e-02  0.061163129  0.0370146298  0.0032057789  0.0005724471 -0.1451510991
## stat193   0.0527466910 -0.0358874913  4.658121e-02 -0.075269978 -0.0307638029  0.0363440988  0.0185556947 -0.0643635504
## stat194   0.0400405211  0.0252182112  3.394077e-03  0.131665240 -0.0967428402  0.0915269154 -0.0526520532 -0.1088400886
## stat195  -0.0191733450 -0.0132078916  1.351936e-01  0.013831341 -0.0607380134 -0.0437324138 -0.1206418385  0.0282800766
## stat196  -0.0435608896  0.0139848630 -9.460234e-03 -0.054316815 -0.0981617521 -0.0889526761 -0.0115744796  0.0021968643
## stat197  -0.0202957934 -0.0071553215  3.945529e-02 -0.054356711  0.0526505111 -0.0103147734  0.0002340825  0.0664959374
## stat198  -0.0292214631 -0.0310039325 -9.857461e-03 -0.022367417 -0.1148079846  0.0194018601  0.0086682817  0.0018335504
## stat199  -0.0587468624  0.0205431317 -1.202468e-02  0.013152760 -0.0891546514 -0.1018546184  0.0471754155 -0.0961503715
## stat200   0.1273164730  0.0610757881  2.574534e-02  0.102449083 -0.0144208924  0.0023478140  0.0840797881  0.0486198742
## stat201   0.1237684739  0.0014355093  1.421898e-02  0.010664548 -0.0377389531 -0.0032365628 -0.0612972229 -0.0452852599
## stat202  -0.0411797331 -0.0426905126  4.162190e-02  0.038114690 -0.0680339352  0.1247654448  0.0062486072 -0.0564355933
## stat203  -0.0347946042 -0.0935173810 -1.289855e-01 -0.031078243  0.0317248608 -0.0306805656 -0.0011102249  0.0461711083
## stat204  -0.0279658318 -0.0085339496 -4.991872e-02 -0.028686524  0.0639572175 -0.0889408276 -0.0268430275 -0.0031087974
## stat205  -0.0901338296 -0.0760543293 -2.268720e-02  0.036402284 -0.1108455333  0.0975476893 -0.0621758776  0.0614648042
## stat206   0.0215472834  0.0239019374 -8.151530e-02 -0.113991073 -0.0016927012 -0.0946454213 -0.1280624973  0.0853479182
## stat207   0.0376456053 -0.0644557359  1.414020e-01  0.063813061 -0.0287871163 -0.0483474081  0.0665159920 -0.1110974676
## stat208   0.0236919844  0.0903958128  9.090324e-02 -0.051794507 -0.0184391295 -0.0571332427  0.0182800036 -0.0315671021
## stat209  -0.0196674782 -0.0089433713  2.521123e-02 -0.121656026 -0.0169160386 -0.0156795799  0.0523526504 -0.0259575492
## stat210  -0.0173710286 -0.0415222128  2.201096e-03  0.024014651 -0.0669521227 -0.0287734982  0.1019974332  0.0371803409
## stat211  -0.0528077008  0.0549917478 -2.200072e-02 -0.084718040  0.0875120164 -0.0488499510  0.0799748034  0.1586420918
## stat212  -0.0412035583  0.0074033573  8.248154e-02 -0.004977157 -0.0599886272  0.0763814538  0.0544962254  0.0063356322
## stat213   0.0447708235  0.0209125174  3.889241e-02 -0.013855577 -0.0331828817  0.0400391788  0.0236340109  0.0060951449
## stat214   0.0334283163 -0.0014122421 -5.970442e-03  0.101300865 -0.0058096874  0.0765075399 -0.1030428466 -0.0401133404
## stat215   0.0256811623  0.0782977797 -5.516723e-02  0.015396333 -0.0117327768  0.0574605828  0.0090225065  0.0162818363
## stat216   0.0119444127 -0.0003156375 -3.925846e-02  0.033303768  0.0758753865  0.0091394071 -0.0777401114  0.0591109793
## stat217   0.1161070043  0.1024202002  8.841507e-02  0.003169691 -0.0719664925  0.0297434457 -0.0225929030 -0.0321699659
## x18.sqrt  0.0165602136  0.0033968701 -3.730210e-02 -0.106836858 -0.1006106929  0.0580273016  0.0592994008 -0.0177587410
##                  PC175         PC176         PC177         PC178         PC179         PC180         PC181
## x1       -0.0391723321 -0.0576583253  0.0492142865  3.205490e-02  3.537888e-02 -0.0101359046 -0.1291812456
## x2       -0.0512775059  0.0008194664 -0.0472448863 -1.080435e-01  1.449691e-01 -0.0667563909 -0.1222461889
## x3       -0.0476373617 -0.0650718267 -0.1154123417 -1.312422e-02  6.770341e-03  0.0301010687 -0.1096258102
## x4       -0.0005142193  0.0585372728 -0.0151472174 -1.900122e-02  7.687831e-03 -0.0618469443  0.0206590580
## x5       -0.0230740597 -0.0698421567  0.0041840781  2.070733e-02 -1.700121e-02  0.0660884373  0.0137248413
## x6       -0.0102683769  0.0863754891 -0.1161014232 -6.941587e-02 -1.881329e-02  0.0481001278  0.0145418493
## x7        0.0265891606 -0.0186994994 -0.0976027429  1.148435e-01  7.979048e-02 -0.0156348361 -0.0036363507
## x8       -0.0219614465 -0.0049166424 -0.0159543285  5.366133e-02 -1.005622e-01  0.0859576761  0.0182023457
## x9       -0.0371293673  0.0215558094  0.0065965108 -8.162901e-02  1.703227e-02 -0.0935670312  0.0096675835
## x10       0.0637689117 -0.0121211439 -0.0585574917 -3.626492e-02  8.339274e-02  0.0034429176  0.0233079047
## x11      -0.0176223081  0.0510759205 -0.1085794989  2.006830e-02  6.388886e-02 -0.1021291527 -0.0637688380
## x12       0.0862867288 -0.0541196408 -0.0401623718  9.859381e-02 -3.100100e-02  0.0452000755 -0.0093109626
## x13      -0.0287147525 -0.0101617479  0.0341515518 -8.814881e-02  3.407111e-03 -0.0352353598  0.0993810140
## x14      -0.0281012954 -0.0408207998  0.0094041186 -8.882078e-04  3.653488e-02  0.0221268920 -0.0234026325
## x15       0.0400424870 -0.0691167145 -0.1473617438  6.155627e-02 -4.093795e-02 -0.0240987454  0.0530960982
## x16      -0.0028695235  0.0001107477  0.0358695846  2.687875e-02  6.564549e-02 -0.0060086720  0.0640490153
## x17      -0.0358164570 -0.0072273100 -0.0581961267 -7.143203e-02  2.099611e-02  0.0935815821  0.0893844294
## x19       0.0301432203 -0.0423297133  0.0800058265 -2.500451e-02 -1.006351e-01 -0.0489310338  0.1556570119
## x20       0.0505195145 -0.0317117258  0.0251165322  4.174628e-03 -7.409496e-03  0.0194243613 -0.1087933506
## x21       0.0593206374  0.0577149260 -0.0914021922  3.122662e-02  3.086894e-02 -0.0838895775  0.0096464476
## x22      -0.1167980487 -0.0635193919  0.0186073534 -1.250912e-01 -4.116920e-04  0.0095829644 -0.0247991636
## x23       0.1021521541  0.0136682566 -0.0310722703 -3.194262e-02 -7.238659e-02 -0.0698542933 -0.0329204636
## stat1     0.0183673806  0.0191940909 -0.0891400634  4.026399e-02 -2.394526e-02 -0.0033577279 -0.0579793197
## stat2    -0.0078748462  0.0545123789  0.0012422401  5.498517e-02 -2.881965e-02 -0.0590559054  0.0195344551
## stat3    -0.0005800296 -0.0364824357  0.0948434920 -8.686015e-02 -2.617301e-03  0.0534612657 -0.0762891964
## stat4    -0.0292995699 -0.0236331880  0.0168013636 -5.407506e-02 -1.179169e-01  0.0668018074  0.0444161303
## stat5    -0.0241656037  0.0699350836  0.0340910761 -4.581424e-02 -4.149081e-03 -0.0196303504 -0.0789102987
## stat6     0.0289528669 -0.0418020600  0.1445844124  1.892917e-02  3.828068e-02  0.0214801429 -0.0636249597
## stat7    -0.1236964510  0.0807499445  0.0310236853 -9.828579e-02 -1.003923e-01  0.0664596760  0.0346867958
## stat8     0.1367666089  0.0551916946  0.0331006023 -6.611633e-02 -6.576938e-02  0.1336791789 -0.0702141153
## stat9    -0.0227680915  0.0366338683  0.0317011753 -6.558128e-02  6.995710e-02  0.0232037244  0.0522067501
## stat10    0.0879814444  0.0553745445  0.1253203463  6.864934e-02  7.874848e-02 -0.0230951161 -0.0386180820
## stat11   -0.0256008230  0.0823129186  0.0446091717  5.130727e-02  1.181342e-01  0.0655954495 -0.0204722075
## stat12    0.0177894179 -0.0372960959  0.0852237700 -1.728027e-03  2.428783e-02 -0.0294779293 -0.0340035650
## stat13   -0.1433295348  0.0983041944 -0.0004111013 -3.948259e-02  3.413285e-02  0.0258646489 -0.0430466643
## stat14   -0.0089518148 -0.0204247988 -0.0070662540  4.025099e-04  6.036329e-02 -0.0020825194  0.0066312859
## stat15    0.0879764537 -0.0351563289 -0.0221840788 -2.230013e-02  7.622870e-02  0.1045554774 -0.0092223541
## stat16    0.0466924964 -0.0189699726  0.0471655528  5.629977e-02 -4.913751e-03 -0.0617188898  0.0048806065
## stat17   -0.0318149618  0.0529975998 -0.0107989326  7.472346e-02  5.947176e-02  0.0306411409 -0.0521007800
## stat18   -0.0179258615 -0.0343068559 -0.1181542735  2.343649e-02 -6.485988e-02 -0.0529557596 -0.0917609108
## stat19    0.1834891491  0.0135312636  0.0329620557 -1.855840e-02 -2.606169e-02 -0.0312648189 -0.0012566609
## stat20   -0.0711437790 -0.0895788372  0.0387997465 -3.112725e-04  1.419284e-02 -0.0648959679  0.0793569699
## stat21   -0.1046785880 -0.0123957820 -0.0361363482  6.402089e-02 -1.036238e-01  0.0012101819  0.0271239349
## stat22    0.0038209900 -0.0602697846 -0.0531608963 -1.924224e-02 -7.279637e-02 -0.0949441953  0.0258193542
## stat23   -0.0325564489  0.0417612540 -0.0231079133  9.501193e-03  7.420735e-03  0.0043386107  0.0720932589
## stat24   -0.0164909860 -0.0226819763  0.1220298941  1.131781e-01  8.764415e-02 -0.0095000282  0.0337796767
## stat25    0.0287272854 -0.1056053232  0.0306327986 -5.486931e-02  5.318170e-02 -0.1355267275 -0.0428089650
## stat26    0.0413212533  0.0527319731  0.0172808879 -2.811342e-02  6.538608e-02 -0.0686925442 -0.0718623757
## stat27    0.0823512197  0.1177474844  0.1050703165 -3.921677e-02 -3.086612e-02  0.0098433218  0.0127105630
## stat28    0.0805831234 -0.0033644342 -0.0334520753  4.811367e-02  4.467289e-02  0.0714698952 -0.0352476632
## stat29    0.0866466376  0.0125577894  0.0489887393  9.104269e-02  3.497826e-02  0.1187251033 -0.0083396899
## stat30    0.0332148721  0.0707129485  0.0436666864  5.426815e-02  1.059526e-01 -0.0280218038  0.0011253514
## stat31   -0.0205784861  0.0797669436 -0.0335015826 -7.702519e-02 -1.065129e-01  0.0818627620 -0.0032755912
## stat32    0.0067917277  0.0819925306  0.0778523463 -3.967619e-02  3.685888e-02  0.0415950328  0.0393080911
## stat33    0.1424349089  0.1013540287 -0.0344736143  3.450017e-02  7.513784e-04 -0.0246152848  0.0486293778
## stat34    0.0323424409 -0.0486339129 -0.0941969775 -2.201292e-02 -1.611740e-02 -0.0085724711 -0.0771478580
## stat35   -0.0064577544 -0.0851529911  0.0328345580 -1.156789e-01  2.878622e-02  0.0351708217 -0.1053134568
## stat36    0.0891661999  0.1461533006 -0.0013520854  6.282181e-02  2.496157e-02 -0.0393754271  0.0444430336
## stat37    0.0660203772  0.1604372341  0.0090473829 -7.498598e-02  5.991450e-02  0.0286115229 -0.0633410833
## stat38   -0.0148577884  0.0518066009  0.0423372814  4.567268e-02 -1.365740e-03 -0.0196987672 -0.0048372983
## stat39   -0.0152181894 -0.1085769287  0.0105803837  7.461015e-02 -1.900816e-01  0.0003472375 -0.0234516534
## stat40    0.0929401030  0.0243771885 -0.0156032329 -8.337259e-02  5.545990e-02 -0.0074715336  0.0461193956
## stat41    0.0265958131  0.0699924802 -0.0568917231 -1.542858e-02  7.038713e-02  0.0081047737  0.0169980042
## stat42   -0.0238673528 -0.0518959052  0.0290931485  4.734293e-02 -8.268589e-02 -0.0399332878  0.0192466248
## stat43   -0.1000803500  0.0709956144 -0.0758348122  1.564608e-02 -2.287653e-02 -0.1668901220 -0.0096381283
## stat44   -0.0767713064  0.0608388199 -0.0690662866  2.114323e-02  1.475467e-02  0.0991713184 -0.0279016260
## stat45   -0.0578603982  0.1540491848 -0.0514485158  1.376619e-02  7.970619e-02  0.0002057921 -0.0312858499
## stat46    0.0734848528  0.0723812451  0.0485377037 -4.313565e-02 -3.787637e-02  0.0805063726  0.0722178556
## stat47    0.0292926652  0.0266735549  0.0059443518  1.198354e-01 -2.855966e-02  0.0824742015  0.1546809583
## stat48   -0.0903926907  0.0269532155 -0.0843243459  1.634325e-02 -4.583934e-02  0.0143984317 -0.0431242126
## stat49   -0.0397928622  0.1284146536 -0.0254667154  8.074859e-02 -1.880505e-01  0.0147300237 -0.0080645530
## stat50   -0.0406165178 -0.0626564798  0.0028231337 -2.652670e-02 -2.073143e-02 -0.1057630036  0.0381963076
## stat51   -0.0170533198  0.0172401735 -0.0233411333 -4.041001e-02  5.196006e-02  0.0238203567  0.0394314188
## stat52   -0.0857836720  0.0700319360 -0.1391474900  6.911288e-02  4.844175e-03  0.0555585077 -0.0106837005
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## stat189  -0.0222565113 -0.0114432728 -0.1773274392  1.187749e-02  4.919976e-02  0.0296626622 -0.1214951606
## stat190  -0.0173639949 -0.0767329129  0.0556851307  1.574421e-01 -7.321329e-02 -0.0732938799 -0.1977048282
## stat191  -0.0053108726  0.0415657095  0.0203009822 -5.521876e-02 -1.948438e-02  0.0241883901 -0.0644970049
## stat192   0.0525096979  0.0207192889 -0.0455142427 -2.250868e-02 -4.751736e-02  0.0289989419 -0.0240480076
## stat193  -0.0216162529 -0.1179930525 -0.0782916062  3.922188e-02 -2.428143e-02 -0.0144012531  0.0291790602
## stat194   0.0745814617 -0.0237030251 -0.0585852560 -8.563562e-03  6.768974e-02 -0.0309133651 -0.0442464369
## stat195  -0.0035331528  0.0485036796 -0.0704372410 -8.540876e-02  4.415242e-02  0.0756177855  0.0916262622
## stat196  -0.0221864926 -0.1336531683  0.0506091246  5.869132e-02  2.280633e-02 -0.0560187703  0.0422958789
## stat197   0.0604728213 -0.0173596086  0.1144229035  2.459471e-02 -7.774142e-02  0.0468005440 -0.0259445746
## stat198   0.0518802139  0.0372542979  0.0869297486  6.123204e-02  1.818092e-03 -0.0282325233  0.0841483852
## stat199  -0.0975198888  0.0482458506 -0.0325236582  1.668242e-02  2.430416e-02 -0.0577985991  0.1056837631
## stat200   0.0328815825  0.0066988641 -0.0161547520 -2.494804e-02  4.172984e-02  0.0046732631 -0.0633765295
## stat201  -0.0279813149 -0.0607533595  0.1285739558  3.795096e-02  1.114432e-02 -0.0797453264 -0.0377155479
## stat202  -0.0502746573  0.0258987056 -0.0204015453  5.101704e-02  1.168581e-01  0.0289044617  0.0378316444
## stat203  -0.1434904917 -0.0809848776  0.0075829304 -4.169971e-02 -4.456876e-02  0.0049237981 -0.1908470064
## stat204   0.0530131994 -0.0111782927 -0.0454769536  3.033882e-02 -1.785054e-02 -0.0788136440 -0.0245263838
## stat205   0.0585800394  0.0018972450  0.0058772739  3.415549e-02 -4.863590e-03  0.0135863331  0.1284613478
## stat206  -0.0725502897 -0.0639428490  0.0492199895 -9.140456e-02  3.103394e-02 -0.0166788210 -0.0592908187
## stat207   0.0314600292 -0.0742194683  0.0183155885  1.728574e-02 -5.524773e-02  0.0035540048 -0.0960027684
## stat208  -0.0078938561  0.1055389304  0.0511862362 -1.338237e-01  1.202030e-02 -0.0155338098 -0.0459629743
## stat209   0.0416686461  0.0391832039 -0.0272068827  7.381286e-02 -8.981865e-02  0.1301386264  0.0856171898
## stat210  -0.1120154245 -0.0079700272 -0.0243115943  4.070987e-03  1.137974e-01 -0.0094855134 -0.0887432298
## stat211  -0.0263828934 -0.0596502473  0.0461100689  3.584213e-02  2.706616e-02 -0.0645774330  0.0966609340
## stat212   0.0956233616 -0.0275278459 -0.0437688181  2.513138e-02  8.342300e-02 -0.0087795440 -0.0594053738
## stat213  -0.0186795361  0.0172884402 -0.0350427453  1.428231e-02 -1.068730e-01 -0.0996418064  0.1544196829
## stat214   0.0594239166 -0.0727525758  0.0720529126 -5.894525e-02  8.461137e-02  0.0604942502  0.0072561851
## stat215   0.1860710954  0.1933808544  0.0305353081 -2.667552e-02 -1.445784e-01  0.0204657006 -0.0870455252
## stat216   0.0885950967  0.0706594664  0.0013618429 -7.251005e-02  2.552107e-02 -0.0409594965 -0.0262208611
## stat217   0.0974960569  0.0192173314  0.0577779955  2.855805e-02 -5.202956e-02  0.0298746699  0.0090886901
## x18.sqrt  0.0300982750  0.0264419602 -0.0374963040 -1.336462e-02  1.958808e-02  0.0019162285 -0.0752292195
##                  PC182         PC183         PC184         PC185         PC186         PC187         PC188        PC189
## x1        0.0535526948  0.0062153909  0.0634383375 -0.0431202853 -2.620573e-02 -0.0104171899  0.1362144858  0.040227339
## x2        0.0586430539 -0.0754950932  0.0664984988 -0.0343383019 -1.680823e-02 -0.0587344903  0.0415686049 -0.062432111
## x3        0.0182961015  0.1013981098 -0.0441806281  0.0238790850  3.682597e-02 -0.0490049045  0.0148166849 -0.119190923
## x4        0.0326242504  0.0439416713  0.0033396310 -0.0633617564  2.514368e-02  0.1371726864  0.0024377525  0.067192386
## x5        0.0365075939  0.0308762695 -0.1160066709 -0.0451422068 -7.434864e-02  0.1612282786 -0.0379444677  0.095018823
## x6        0.0206409742 -0.1266849943  0.0798414720  0.0005997006 -2.841221e-02 -0.0407787861  0.0416005556 -0.038830272
## x7       -0.1373465748 -0.0502735774 -0.0409857686  0.0787792437  2.193512e-02 -0.0787533447 -0.0304250188  0.023365319
## x8        0.0375282663  0.0709371197 -0.0470382058 -0.0086836781  1.925403e-02  0.0213033263  0.0003813505 -0.051895743
## x9        0.0454338679  0.0026988670  0.0214819649 -0.0595834445  5.232560e-02  0.0312964847  0.0780829979 -0.077118485
## x10       0.0171345652  0.0071336880  0.0310359253 -0.1080328690  1.487869e-02  0.0338661354  0.0598478005 -0.003840146
## x11       0.0523425611 -0.0160914821  0.0172965616 -0.0211896385 -1.101740e-01  0.0235025038 -0.0119437168 -0.030192058
## x12       0.0629774658 -0.0707329323  0.0365203749 -0.0747400659  4.800519e-02 -0.0343659715 -0.0675357956  0.056023456
## x13      -0.0179204314  0.0786783370 -0.0331985500 -0.0302917965  4.566896e-02  0.0769684351 -0.1336051694 -0.067132918
## x14       0.0546856734  0.0611238244 -0.0827742465  0.0836307071 -8.495728e-03  0.1196490908  0.0406864735 -0.038002286
## x15      -0.0106590850 -0.0458899608  0.0747391546  0.1014280024  6.303109e-02  0.0380921527  0.0270418301  0.017033649
## x16       0.0018499397  0.0952231418 -0.0235504798 -0.0336541903  1.940720e-02 -0.0634630805 -0.0650524208  0.036518906
## x17      -0.0667252357  0.0606412543 -0.0088684243 -0.1464727620 -1.258822e-02 -0.0130961389  0.0186691145  0.018988094
## x19      -0.0782849233  0.0211711644 -0.0764780054 -0.0246348403 -3.529243e-02 -0.1049092320 -0.0342489514  0.057620197
## x20      -0.0309544935  0.0448008604 -0.0123151125 -0.0186567365 -1.882843e-02 -0.1195660740 -0.0555173132  0.048672476
## x21      -0.0703355382  0.0713236215 -0.0319032776  0.0679634227 -9.914909e-02  0.0072541729  0.0569482487  0.052257462
## x22       0.0242557927  0.0483140759  0.1171981753  0.0521860872  4.393820e-02 -0.0745564802  0.1426135529  0.021033033
## x23       0.1243521603  0.0229640690 -0.0690226395  0.1416802953  1.345550e-01  0.0364781465 -0.0567652522  0.006490923
## stat1    -0.0471491480 -0.0794705067 -0.1187366582 -0.0114595190 -1.950486e-02 -0.0993812046  0.0101089720 -0.023041278
## stat2    -0.0722029725  0.0073005520  0.0409197105  0.1708259621  8.679231e-02  0.0678824544  0.0753622372 -0.101220544
## stat3     0.1041178579 -0.0123583182 -0.1260302743  0.0540946500 -6.156645e-02 -0.0220616654 -0.0098636409  0.075010309
## stat4    -0.0630083884  0.1267270996 -0.1222001473  0.0135530750  3.557256e-03 -0.0570079254 -0.0522298645  0.006254307
## stat5     0.1107013461 -0.0488544559 -0.0748287157 -0.0374841164  6.282780e-02 -0.0796650218  0.0480050777  0.007932581
## stat6     0.0051500355 -0.0328787220  0.0624991893 -0.0254322039 -6.723556e-02 -0.0682413779  0.0468004377  0.103058971
## stat7    -0.0213527045 -0.0062397124 -0.0279342341  0.0114587978 -9.722837e-02  0.0051524211 -0.0210820610 -0.074992865
## stat8    -0.0023172392  0.0716992832  0.0017018516  0.0636828013  3.315836e-02 -0.0515560741 -0.0134714075 -0.044160254
## stat9    -0.0125576064 -0.0916858898  0.0544938021 -0.0070929840  8.872146e-02  0.0193132029 -0.0678322422 -0.060330046
## stat10   -0.1105015685 -0.0450865951  0.0509549845  0.1003469537 -5.175204e-02  0.0124078262 -0.1122477936 -0.066884954
## stat11   -0.0110095209 -0.0480361519  0.0220063762 -0.0153242523 -2.153576e-02  0.0401501297  0.0179833384  0.024848212
## stat12   -0.0552752675  0.0094445115  0.0047425098  0.0008761832 -1.483604e-01  0.0228946486  0.0641391292 -0.024540365
## stat13   -0.0286005628  0.0106565831 -0.0509178065  0.0352655959 -6.615927e-02  0.0887076413 -0.0571989495 -0.085338041
## stat14   -0.0864983976 -0.0268403594 -0.0927530689 -0.1292119112  1.707583e-02 -0.0284975406  0.0668003980  0.003074723
## stat15    0.0027659538  0.0049139495  0.0489582513  0.0310787648 -3.173566e-02 -0.0287016477 -0.0568477218  0.018739037
## stat16    0.0655216768 -0.0236305297 -0.0492183335  0.0001365820 -1.895200e-02 -0.0250392070  0.0417688625 -0.017224420
## stat17   -0.0872272222  0.0429976412  0.0124341163  0.0495916192 -3.618147e-05 -0.0466197466  0.0771243245 -0.038226604
## stat18    0.0194529659 -0.0074346225 -0.0342606054  0.1336519867 -9.606205e-02  0.0258518299 -0.0426830892  0.025568367
## stat19   -0.1554434498 -0.1094144184  0.0919101114 -0.1530597041 -6.434578e-02  0.0077383976  0.0232657643 -0.083034739
## stat20    0.0484268451 -0.0442076418 -0.0235185698 -0.1246352475 -1.090539e-01  0.0869818012 -0.0205331170 -0.084842339
## stat21    0.0291258430 -0.0699131731 -0.0375550824 -0.0302264756 -2.673060e-02  0.0401838070 -0.0090130052 -0.004871368
## stat22    0.0009568758  0.0083990794  0.0305608452 -0.0371729799 -2.982660e-02 -0.0412408411  0.0470567086  0.096226763
## stat23   -0.0270432842  0.0213683313 -0.0604393063  0.0549603381  1.677556e-02 -0.0520105295 -0.1094319662 -0.018117284
## stat24   -0.0418544926 -0.0618796261 -0.0200592574 -0.0085735545 -5.887073e-02  0.0276269477 -0.0190312305 -0.009662225
## stat25   -0.0276613168  0.0723268561 -0.0386565618  0.0503237803  8.542990e-02 -0.0285416718 -0.1273082301 -0.008734065
## stat26   -0.0094751030 -0.0200221090 -0.0066185379 -0.0123418764  1.951458e-02  0.0775844659  0.0164228820  0.036125966
## stat27    0.0549788961 -0.1045732748 -0.0076407447  0.0339107543 -5.432542e-03 -0.0292955073  0.0289220162 -0.094655021
## stat28    0.0434968089 -0.0195422467  0.0072512712  0.0004897132  1.165437e-01  0.0830717619  0.0554295670  0.014641459
## stat29    0.0373424313 -0.0378322639  0.0219150293  0.0363344618 -1.666391e-01 -0.1418837545 -0.0541352449 -0.063273122
## stat30   -0.0839287500  0.0146843703  0.0187913129  0.0347318617 -8.733479e-02 -0.0438458501  0.0163764864  0.044829433
## stat31    0.0299369592 -0.0820198625 -0.0370759072  0.0072518625 -9.636339e-03  0.0200578854 -0.0340828496 -0.063765607
## stat32   -0.0097401764 -0.0280320155  0.0684167635 -0.0001559851  1.239686e-01 -0.0246899211  0.0796149675 -0.111508196
## stat33    0.0175652987 -0.0435486011 -0.0616658641 -0.0564741576 -3.757044e-03  0.0824728063  0.0807043040 -0.098403262
## stat34    0.0123185870 -0.0355422859  0.1188654173  0.1131467228 -3.258403e-02 -0.1544432687  0.0723736483  0.017467481
## stat35   -0.0203087480  0.0693385037 -0.0167485519  0.0018016614 -8.696586e-02  0.0767665094 -0.0159103865 -0.117704482
## stat36    0.0213151046  0.0182726418  0.0339649030  0.0213209848 -2.563171e-02 -0.1251578462  0.0785175582  0.089446682
## stat37   -0.0817153066  0.0246303338  0.0503645216  0.0490148430 -5.740313e-02  0.0224512176  0.0343445313  0.019032323
## stat38    0.0122132912 -0.0083600616  0.0148159754  0.0141771771 -3.910227e-02 -0.0074964176  0.0753504246 -0.053054660
## stat39   -0.0340692790 -0.0007413921 -0.0215306816 -0.0030898736 -8.060342e-02 -0.0173691929  0.0204194822 -0.039468382
## stat40   -0.0110858762 -0.0786522612 -0.1351717128 -0.0168396093  1.396715e-01 -0.0589056886 -0.0199018377  0.112733980
## stat41    0.0193480591 -0.0896978689 -0.0313986849  0.1115406787  4.861775e-02 -0.0656443798 -0.0331740371  0.074397043
## stat42   -0.0275341806 -0.0353506103  0.0528505185  0.0185411165 -3.002634e-02 -0.0521476475  0.0528900638  0.048207751
## stat43    0.1312778318 -0.0030356900 -0.0508926837 -0.1319868928 -1.142793e-02  0.0139573645 -0.0949549940  0.080452191
## stat44   -0.0095677108 -0.0638958296  0.0085118600  0.0882609886 -2.969218e-02 -0.0767262166 -0.0414192746  0.070906689
## stat45    0.0709497160  0.0964400222  0.0769113143 -0.0443900148 -2.345206e-02 -0.1301572801  0.0799630072 -0.002734532
## stat46   -0.1034795358  0.0570035955 -0.0413542106 -0.0448278701  3.255217e-02  0.0488468309  0.0044951756  0.073893315
## stat47    0.0363957259 -0.0142419214  0.0057218832  0.0501354067 -1.183940e-02  0.0268672869 -0.0308211386  0.019442995
## stat48    0.0282589082 -0.0312958341  0.0830987234 -0.1301924466 -1.323881e-02  0.1201305894 -0.0237879994  0.078508851
## stat49    0.0505868163  0.0221821623 -0.0832120006  0.0284266981  1.041481e-02 -0.0071463856 -0.0163638693 -0.082047144
## stat50   -0.0319910558 -0.0795934865 -0.0749757464  0.0272723862  5.689437e-02  0.0593203359  0.0187797570  0.156226546
## stat51    0.0842948175  0.0585691736  0.0568174510  0.0267589021  9.061175e-02 -0.0173694341 -0.0109550640 -0.059400663
## stat52    0.0028750696  0.0628509062  0.0130019494 -0.0891672581 -3.927534e-02 -0.1540428310  0.0195972759  0.069195804
## stat53   -0.0671166459  0.0597320378 -0.1284849274  0.0685088552  5.020453e-05  0.0615587669  0.0506345579  0.002566276
## stat54   -0.0128222137 -0.0162376418 -0.0189023000 -0.0368727244 -8.712747e-02 -0.0545798278  0.0622365568 -0.004262136
## stat55    0.1007984357 -0.0713845916  0.0235877776 -0.0537903804  4.055023e-02  0.0455737687 -0.0385024710 -0.019690855
## stat56    0.0234693746  0.0536089132 -0.0323353157 -0.0056842210 -6.916502e-02 -0.0493657356 -0.0846636981  0.074301676
## stat57   -0.0237647854 -0.1641218585  0.0412585677 -0.0256986887  2.846645e-02  0.0316369925 -0.0666461666 -0.033249852
## stat58    0.0264589655 -0.0224245065  0.0318071433 -0.0375598854  4.581569e-02 -0.1112772055  0.0621477757  0.108908438
## stat59    0.0625224870 -0.0429816441 -0.0092792165  0.1737702724  7.045891e-03 -0.0092262631 -0.0059565976 -0.062080337
## stat60   -0.0337728206  0.1098258974  0.1287225356 -0.0531195442 -3.318042e-02 -0.0494271815 -0.1002403401  0.037978991
## stat61   -0.1012876494 -0.0121160924  0.0132913084 -0.0195166305 -1.524845e-02  0.0370210310 -0.0016810321 -0.048789065
## stat62    0.0844245341  0.0590122782  0.0341608364 -0.1036031603 -8.412858e-02 -0.0095915505 -0.0820792547  0.094336260
## stat63   -0.0159066445 -0.1046647270 -0.0185781661 -0.0965710314 -7.303597e-02  0.0277226465 -0.0041080267  0.033662243
## stat64    0.0350047549 -0.0165113062 -0.0226203596  0.0088413019 -9.144709e-04  0.0286037423  0.1760255320  0.060183288
## stat65   -0.0893777729  0.0307230636 -0.1207710944 -0.1397896299 -5.964157e-02 -0.0643765080 -0.0595966188  0.035692780
## stat66    0.0666713887 -0.0445070963 -0.0019141971 -0.0584713373 -8.879993e-03 -0.0587854322 -0.0593483669  0.119746920
## stat67    0.1066143802 -0.1039558366 -0.0086020486 -0.0330940630 -7.195657e-02 -0.0208384931 -0.0699706151  0.065579532
## stat68   -0.0545038203 -0.1077267164 -0.0875417981 -0.0819321325  5.209300e-02  0.0663828956  0.1369436891  0.002492237
## stat69   -0.2038507678 -0.0525554674 -0.0250391062  0.0571737024  7.627300e-02 -0.0468573923  0.0198295195 -0.020986481
## stat70    0.0172677993  0.1182057044  0.0227688429 -0.0474881901 -4.325771e-02  0.0194802843 -0.0368229285  0.053820060
## stat71    0.0005026961 -0.0579981747 -0.0096531214 -0.0217737946 -5.172661e-02 -0.0873321175  0.0836789878  0.055164515
## stat72    0.0682964528  0.0237484024  0.1302695694  0.1005600179 -5.139288e-03  0.0394124941 -0.0487526305 -0.024042276
## stat73    0.0962140578 -0.0822986676  0.0481189826  0.0021011964  7.710661e-02 -0.0870464560 -0.1112489792  0.038216544
## stat74    0.0902109581  0.0113382099 -0.0493227764 -0.0694955950  7.821110e-02  0.0873448154  0.0152714106 -0.031551730
## stat75   -0.0921146554  0.0782918848  0.0482071150 -0.0612635402  7.407308e-02  0.1170408016  0.0184829753  0.039421172
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## stat202  -0.1095764517 -0.0177430461  0.0535808317  0.0101513408 -2.205080e-02 -0.0012979193 -0.0175950575  0.031885064
## stat203  -0.0797405486 -0.0615727652 -0.0682206017 -0.0235661156  8.689793e-02 -0.0520213777  0.0582937872 -0.038424256
## stat204   0.0914059214  0.0737961866 -0.0384602666 -0.0546757135  8.595819e-02 -0.0253257316  0.0737649391 -0.062391874
## stat205  -0.0091909048  0.0016948452 -0.0629493600 -0.0043169652  8.651700e-02 -0.1061698936  0.0460164572 -0.003594935
## stat206  -0.1823271643 -0.1429335764  0.0564733805  0.0224619427  5.995372e-02  0.0071906213  0.0139803439  0.052885667
## stat207  -0.0157363890  0.0483505312  0.0282608351 -0.0309705342 -1.220426e-01 -0.1016419739  0.0148261775 -0.110381380
## stat208  -0.0485405350 -0.0018129669 -0.1191673214 -0.0604366973  6.364811e-02  0.0393290240 -0.0325885774 -0.065920627
## stat209   0.1347061347  0.0753313152 -0.0869096386 -0.0090376332  3.946824e-02  0.0260135665  0.1460230349  0.085115530
## stat210   0.0857031992 -0.1042826628 -0.0422070175 -0.0115576442 -7.600993e-03 -0.1364406434  0.0061783512  0.043500700
## stat211  -0.0263416064 -0.0120057614  0.0140103832  0.0146183846 -9.000784e-02  0.0549834134  0.0243534544  0.032659851
## stat212  -0.0447410246 -0.0985687753 -0.0023321652 -0.0613124915  8.841437e-02 -0.0067212180 -0.0575885029 -0.026182425
## stat213  -0.0231182226  0.0715251989  0.0721613469 -0.0906003996 -7.520992e-02 -0.0089503092  0.0103843910  0.084488782
## stat214   0.0782603024  0.0007691064  0.0512603047 -0.0159410889  3.592707e-02  0.0936132638  0.0765758920 -0.012361373
## stat215  -0.0233348915  0.0049875418 -0.0401996922  0.0619328442 -8.914078e-02  0.0065740725 -0.0559040684  0.045047531
## stat216   0.0766228584  0.0361085418 -0.0843388677  0.0455675546 -3.508629e-02  0.0221166242  0.0304462962 -0.015191174
## stat217   0.0444397117 -0.0307516538  0.0104641698 -0.0957508565  7.299050e-02 -0.1060983030  0.0495416626 -0.125504133
## x18.sqrt  0.1024372611  0.0041795468 -0.1466534712 -0.0193755433  3.545591e-02 -0.0325376624 -0.0525199345 -0.030149058
##                  PC190         PC191         PC192         PC193         PC194         PC195         PC196
## x1        0.0215827145 -0.0825544569 -0.0815956738  0.0484818232  3.165589e-02  1.246013e-01 -0.0357020681
## x2       -0.0737233789  0.0182624205  0.0638332718 -0.0056327432  5.743550e-02  2.815206e-02  0.0196908423
## x3        0.0304595714 -0.0530701011 -0.0435873470  0.0340878173  7.850636e-02  1.679564e-02  0.0279360843
## x4       -0.0619560640 -0.0001251144  0.0924447911  0.1042231744 -2.481751e-02  1.141184e-01  0.1320136234
## x5        0.0932443120  0.0230486059  0.0634456125 -0.0119980191  9.328529e-02  5.093252e-02 -0.0352693574
## x6       -0.0564183860 -0.0190758018 -0.0264297907 -0.0248439031  5.726921e-02  4.734968e-02  0.0500027627
## x7        0.0481557564 -0.0053043676 -0.0752883111  0.0695686244  6.434003e-03 -3.082098e-02 -0.0946505433
## x8       -0.1000910205 -0.0178426465  0.0664322584 -0.0190133487 -1.140332e-01 -6.835545e-02 -0.0130451795
## x9        0.0323651452  0.0464791814 -0.1784243379  0.0781740757  6.283405e-02 -4.290362e-02  0.0021452507
## x10      -0.0879535846 -0.0545401524 -0.0772115447  0.0505899583 -1.018948e-01  4.436267e-02  0.0422797172
## x11       0.0564323091  0.0429125047 -0.0354773973  0.0658506998 -7.493312e-02 -1.968930e-01 -0.0106718585
## x12       0.0562898651 -0.1100045090  0.0022028706 -0.0154305703  1.449309e-01 -5.743632e-02  0.0459597446
## x13      -0.0675593592 -0.0092736800  0.0027816553  0.0127062430 -1.184918e-01  2.437209e-02 -0.0102113249
## x14      -0.1422386202  0.0129069551  0.0576252347  0.0087136028  1.158484e-02  7.502271e-03 -0.0694480920
## x15      -0.0781090578  0.1392833823 -0.0975622922  0.0012149589  2.178286e-02  1.326416e-01 -0.0005693300
## x16       0.0489713029  0.0517570886  0.0273906376  0.0184672318  6.007462e-02  4.568407e-02  0.1040324302
## x17      -0.0971317299 -0.0109004341 -0.0818794009  0.0292144865  9.727164e-03 -4.571066e-02 -0.0068167177
## x19       0.0809933930  0.0030029225 -0.0885243363 -0.0807402009  5.489502e-02 -1.150271e-02  0.0496822540
## x20       0.0058706755  0.0506499612  0.0510057735  0.0840212490  4.707438e-02  1.136295e-02  0.0100972745
## x21      -0.0697786087 -0.0085869813 -0.0646745682 -0.0172718070  3.650556e-02 -1.656071e-01  0.0162114389
## x22       0.0552727409 -0.0766184598  0.0152768702  0.0766926494  1.817045e-02 -1.247533e-01 -0.0138769914
## x23       0.0834867553 -0.0456932440  0.0837816065 -0.0429422235  6.472136e-02 -6.163549e-03  0.0457790185
## stat1    -0.0705554425 -0.0107984748 -0.0064748957  0.0439303212 -3.034909e-02 -3.917800e-02 -0.0325798172
## stat2     0.0680246860  0.0066070628  0.0452678673 -0.0501466576  1.124017e-01 -5.218042e-02 -0.1430300626
## stat3    -0.0831589102 -0.0247043505 -0.0110280169 -0.0277786066  6.895730e-02 -3.575323e-02  0.0148423706
## stat4    -0.0394958020  0.0423943897  0.0542138823 -0.0305797316  9.668026e-02 -6.517029e-03  0.0065970827
## stat5    -0.0353412786 -0.0231890769 -0.0763144074  0.0534808124 -1.113200e-02  1.556597e-02 -0.0003675981
## stat6    -0.0058340649  0.0618384582  0.0251660294 -0.0704222391 -9.232310e-02 -8.505194e-02  0.0002164822
## stat7    -0.0112395303 -0.0008523737 -0.0467912835 -0.2007772970 -1.024401e-01 -5.566985e-02 -0.0567141410
## stat8    -0.0940709354  0.0320859819  0.0691072376  0.0912741179 -1.854628e-02 -3.016125e-02 -0.1326164246
## stat9     0.0106978628  0.0712551536 -0.0479719355  0.0393822978 -3.208533e-02  6.202689e-02 -0.0365693765
## stat10    0.0460132883 -0.0617383352 -0.0314885248 -0.0405722800  9.138329e-04 -5.508197e-02 -0.0097317234
## stat11   -0.1650192084  0.0124960795  0.0388459360  0.0005437781  3.395725e-02 -5.491286e-04 -0.1590212753
## stat12    0.0348080334 -0.0512810274 -0.0623114172  0.1428768325 -1.080165e-02 -9.997595e-02  0.0510990999
## stat13    0.0637218634 -0.0393989978 -0.1206103694  0.0526505074 -7.899456e-03  5.375550e-03  0.1727727587
## stat14   -0.0707404956 -0.0937224518  0.0731392825  0.1109410029  1.180325e-02 -8.647581e-03 -0.0362078501
## stat15    0.0370723816  0.1155073651  0.0330456498  0.0014835948  3.883377e-02 -2.558781e-02 -0.0187641256
## stat16   -0.0323287375 -0.0140397125  0.0761309575  0.0376531265 -1.182531e-03  1.420906e-02  0.0218168225
## stat17   -0.0618404306 -0.0323333662 -0.0588551579 -0.0158798943  6.949660e-02  1.672381e-02  0.0893956207
## stat18    0.0981278019  0.0294796917 -0.0696404185 -0.0334242791 -7.074590e-02  6.743627e-02 -0.0247718881
## stat19   -0.0332735553 -0.1104340971 -0.0616610732  0.0113300424 -4.697565e-03  1.085593e-02  0.0693992888
## stat20    0.0444706229 -0.0344982703 -0.0642580595 -0.0126240009 -3.282890e-02  2.319300e-02  0.0654221617
## stat21   -0.0314789741 -0.0224502633  0.0743539574 -0.0129118710 -6.760373e-03 -5.319190e-02 -0.0502104102
## stat22   -0.0710455885 -0.0537212522  0.0715875306 -0.1129866742 -2.551836e-02 -4.386603e-02 -0.0451667722
## stat23   -0.0805732733  0.0461294858  0.0176575669  0.0948483421 -6.424382e-02 -1.287247e-02  0.0574515673
## stat24    0.0760113607  0.0267901348  0.0143600978 -0.1117824249  1.420361e-02 -1.200206e-01  0.0401955471
## stat25   -0.1011742032 -0.0388498749  0.0260328748  0.0002289175  3.545469e-02  2.749845e-02  0.0197465265
## stat26   -0.0645842878  0.1840740861  0.0906351296 -0.0655678782 -4.733599e-02  2.106296e-02  0.0801580352
## stat27    0.0355609632 -0.1201863253  0.0509547091  0.0628983988 -9.842552e-02 -1.406362e-01  0.1075424945
## stat28    0.0556172717  0.2138967662 -0.0296164107 -0.0115191271 -7.903363e-02  1.175095e-01  0.0531331477
## stat29    0.0168229680 -0.0393513446  0.0030765321  0.0328543308  5.927754e-02  2.522672e-02 -0.0502220445
## stat30    0.0554866947  0.0278520922  0.0324606416  0.0381839264  1.123135e-02 -8.599763e-02  0.0954235114
## stat31    0.0413056354  0.0021173883  0.0659502664  0.0164635989  6.178129e-02 -3.458258e-02  0.0202059140
## stat32   -0.0166324540  0.0993065111 -0.0819518013  0.1009761591 -2.756841e-02 -1.188751e-01  0.1049818613
## stat33   -0.0268526484  0.0257515602  0.0573518179 -0.0754047498  6.314473e-02 -5.825161e-02 -0.0463395306
## stat34    0.1143121352  0.0577929428  0.0935938117 -0.0539500977  6.121185e-02 -3.398952e-02  0.0941296809
## stat35   -0.1151220197  0.0166741215  0.0460009772 -0.0499161678 -4.023727e-02  9.837603e-02  0.1400545715
## stat36   -0.0378170025  0.0375749949  0.0201063221 -0.0286612974 -2.300217e-02  6.383519e-02  0.0511301002
## stat37    0.0478823234  0.0477056618  0.0353172076 -0.0721003558  4.592054e-02 -6.526578e-02 -0.0386249028
## stat38    0.0005537891 -0.0757829204 -0.0300796782  0.1090762212 -5.745899e-02  3.524040e-02 -0.0008045047
## stat39   -0.0993992557 -0.0136800329 -0.0733775366  0.0461486079 -5.801830e-02 -3.412572e-03  0.0282065730
## stat40    0.0086019982 -0.0134427191  0.0759239087  0.0076042478 -7.693637e-02  2.540941e-02 -0.0134977827
## stat41   -0.0379718478 -0.0778775753 -0.0703071616  0.0035968808 -6.191946e-02 -1.359547e-02 -0.0390053606
## stat42   -0.0603714985  0.0539565450 -0.0428506555  0.0018925138  3.621170e-02 -2.064430e-03 -0.0413478157
## stat43    0.1066437764  0.0171650236  0.0167517141 -0.0180760516  8.339393e-04  3.549918e-02  0.0515496220
## stat44   -0.0729568647  0.0086616625 -0.0308874540 -0.0874884791 -8.425322e-02 -1.190628e-01  0.0555683057
## stat45   -0.0028071508 -0.0217163831  0.0689738269  0.0228001309  1.336237e-02 -3.690897e-02  0.0175142164
## stat46   -0.1145146513 -0.0439371630 -0.1449942591 -0.0242886532  1.208999e-01 -1.520007e-02  0.0964825149
## stat47   -0.1061297018 -0.0123736078 -0.0595423581  0.0116233034 -6.132105e-02 -1.070592e-02 -0.0199573987
## stat48   -0.1071213174 -0.0278404866  0.0209509708 -0.1516538509  3.677136e-02  8.883814e-03  0.0434042891
## stat49    0.0895472396 -0.0274081859  0.0263386334  0.0490444351 -4.163940e-03  3.992287e-02 -0.0052529990
## stat50    0.0012535357  0.0085613828 -0.1022958562  0.0515894400  9.757710e-02 -1.120229e-01  0.0692733243
## stat51   -0.0431938894  0.0425854735 -0.1301620950 -0.0458549275  1.401035e-01 -5.017693e-03 -0.2365345088
## stat52    0.0821728251 -0.0959875788  0.0126605136  0.0504857544  3.114120e-02  4.785921e-02  0.0490249789
## stat53   -0.0662300859  0.0836656443 -0.0504205522 -0.0235390476  3.130210e-02  7.027989e-02  0.1070056217
## stat54   -0.0349133136  0.0499731189 -0.0429781605  0.0184854949  3.201543e-02  5.268380e-02 -0.0380290495
## stat55   -0.0850461973 -0.0340816094 -0.0493289270  0.0086375828  5.036054e-02 -9.890846e-02  0.0418447121
## stat56   -0.0416361009  0.0329443867 -0.0461060659  0.0049051695 -1.733104e-01 -5.064048e-02 -0.0196007335
## stat57   -0.0137466791 -0.0902927342  0.0279567770 -0.0465856913 -2.387965e-02 -1.063257e-02  0.1542885709
## stat58   -0.0613287914 -0.0721271772  0.0520061134  0.0431778017  5.770678e-02 -5.248953e-02 -0.0914995294
## stat59   -0.0279640505 -0.0282279193 -0.0427963428 -0.0165075614  1.129602e-02  1.271493e-01 -0.0227372538
## stat60    0.0937643988  0.0490320079  0.0300226017  0.1185263904 -2.057643e-02 -1.272427e-01 -0.0032375857
## stat61    0.0091902626  0.0575890952  0.0188727300 -0.0827696366  3.359038e-02 -1.201666e-02  0.0902048947
## stat62    0.0861081440  0.0039942514 -0.1157039943  0.0651181734 -4.078856e-02  3.378481e-02 -0.1021672622
## stat63   -0.1429548557  0.0789523471  0.0020353031 -0.0114156883  1.004321e-01 -1.167193e-01  0.0391866185
## stat64   -0.0904837635 -0.0399833873 -0.0496012889  0.0491781340  4.934120e-03 -3.775410e-02  0.0434398403
## stat65    0.0833163771 -0.0862029428  0.1026371652 -0.0732318782  2.859418e-02  8.188381e-02  0.0281741898
## stat66   -0.0615439149 -0.0314398818  0.0452964623  0.1116536857  1.734860e-02 -5.257060e-02 -0.0251572312
## stat67   -0.0506986250  0.0230435777  0.0371020796  0.1163025769  1.765492e-01  3.709323e-02 -0.0263360790
## stat68   -0.0428936126  0.0304108162 -0.0136010553 -0.1354602438  2.973028e-02  3.289417e-02 -0.0537311433
## stat69    0.0977275113 -0.0339762233 -0.0323160956  0.0344083883  8.112344e-02 -9.172659e-03 -0.0534326246
## stat70   -0.0116134143 -0.0604594992 -0.0518398289 -0.0877312351  6.754200e-02 -8.389871e-02  0.0471836511
## stat71   -0.0015551875 -0.0595271761  0.0498542712  0.0370360215 -2.498612e-02  2.400295e-02  0.0271600589
## stat72   -0.0964700609  0.0654102540  0.0118095191 -0.0174872462  5.506369e-02 -2.341080e-02  0.0510989942
## stat73   -0.0462060496  0.0084127978  0.0324701417 -0.0079456145 -3.988440e-02  3.600165e-02  0.0164194363
## stat74    0.0789929885 -0.0325254863 -0.0434683435  0.0283742565  3.343471e-05 -4.301898e-02  0.0192239139
## stat75    0.0552363011  0.1128392847  0.0435488473 -0.0842605315 -1.848534e-01 -6.987928e-02  0.0351617178
## stat76    0.0200907336  0.0907875059  0.0148260263  0.0077679140 -1.492858e-02 -1.127861e-01  0.0203935650
## stat77    0.0828983037  0.1023477275 -0.0146275548  0.0418708817  3.140908e-02  5.737395e-02  0.0274097160
## stat78   -0.1130262768  0.0485244095  0.0497838337 -0.0260289219 -3.613741e-02 -3.612498e-02 -0.0793521174
## stat79    0.0485334712 -0.0374370557  0.0137489976  0.0785270479 -2.616611e-02  8.591015e-02 -0.0249759586
## stat80    0.0709851777 -0.0537293771  0.0143327786 -0.0190355657 -2.961514e-03 -3.971763e-02  0.0101953163
## stat81   -0.0003356224  0.0014677457 -0.0504314212  0.0269153037 -8.281237e-03 -5.866541e-03 -0.0277791754
## stat82   -0.0884688426  0.0705855367 -0.0569131675  0.0449474373  8.452892e-02  1.121256e-01 -0.0129211413
## stat83    0.0233463561 -0.0088462034 -0.0843096937  0.0068331594  1.484793e-01 -2.508028e-02 -0.0191604242
## stat84   -0.0556187137 -0.0372810178 -0.0366751152 -0.0059867043  3.014461e-02  4.860931e-02  0.0350493843
## stat85    0.0735876599 -0.1056878047  0.0401773046 -0.1702467692  7.102920e-02 -1.713635e-02  0.0082007502
## stat86    0.0666931409 -0.0334078734 -0.0332779346  0.0962066233 -9.477424e-02  3.980934e-02  0.0428336988
## stat87    0.0159414425 -0.1198140978  0.1283839273 -0.0495532784 -5.295208e-02 -7.163229e-02 -0.1483269154
## stat88   -0.0103973449  0.0379176980 -0.0325070393  0.0128003484  1.120470e-01  5.519169e-02  0.0784305417
## stat89    0.0787603108 -0.1052510892  0.0431815108 -0.0166565031  2.276720e-02 -3.903106e-02  0.0816783803
## stat90    0.0804994291  0.0544747308  0.1664874601  0.0016807988  3.727135e-02 -9.958209e-03  0.0798418517
## stat91    0.0343782833 -0.0277713880 -0.0603029831 -0.0016878144 -2.437821e-02 -7.660286e-02  0.1132601717
## stat92   -0.0677596008  0.0727513396  0.0823831878  0.1478117464 -3.292007e-02  5.611235e-02 -0.0355572089
## stat93    0.0370743089 -0.0159846485  0.0515795188  0.0135062584  8.955496e-02 -8.300357e-02 -0.0699341441
## stat94   -0.0249202586  0.0222570471 -0.0119930591 -0.0545096858 -5.807786e-02 -7.028470e-02  0.0602750179
## stat95   -0.0265376253  0.0467885849  0.0312411068  0.0356583227 -3.936045e-02  1.759624e-02 -0.0674144632
## stat96    0.1248597010  0.0347939477 -0.0891116121 -0.0528380738  3.326746e-02 -9.883846e-04 -0.0420504690
## stat97   -0.0520476387  0.1072655064 -0.0080571814 -0.0145842376 -3.927283e-02  1.118516e-01  0.0298935321
## stat98   -0.0343254848 -0.0366769327 -0.1310059785  0.0335934221  4.162314e-02  6.049688e-03 -0.0654194972
## stat99   -0.0036188603  0.1565674036 -0.0439754170  0.0003427450  1.516793e-01 -1.285052e-01 -0.0441960768
## stat100  -0.0149799221 -0.0494504267 -0.0495112421  0.0553251160  1.173275e-01 -1.845911e-02  0.0585603803
## stat101   0.0789060360  0.0838580714  0.0446532900 -0.0842523056  3.090432e-02 -6.490699e-02  0.0453700743
## stat102  -0.0389566525 -0.0738787533 -0.0073498850 -0.1189352950 -6.600930e-02 -1.057366e-02 -0.1333541256
## stat103  -0.0283027546 -0.0664369295 -0.0193025647  0.0180770784 -3.996609e-02 -1.001117e-01 -0.0289188355
## stat104  -0.0593859199  0.0372332491  0.1334994275 -0.1305703467  1.002261e-01  6.978663e-03 -0.0209892648
## stat105  -0.0162543474  0.0104696299 -0.0432627509  0.0242737015  1.283997e-02 -3.530874e-03 -0.1505433815
## stat106  -0.0797205682 -0.0063422878  0.0151029407  0.0485877951 -1.423748e-02  2.676931e-03 -0.0017672246
## stat107  -0.0124726864  0.0896467130 -0.0186054149  0.0060201808 -2.728598e-02 -9.384224e-02 -0.1040581564
## stat108   0.0224293616 -0.0723835221 -0.0130719179 -0.1485454592  8.333555e-02 -3.154539e-02  0.0257234612
## stat109  -0.0181939018  0.0452450111 -0.0359845322  0.0330162578  5.281772e-02 -9.118725e-02  0.0541335598
## stat110   0.0430283979 -0.0314587246  0.0943655389  0.0701346508 -3.863859e-03  3.584989e-03 -0.0257785012
## stat111  -0.0185895578  0.0499095155  0.0485766410 -0.0269883081  9.132285e-02 -6.173109e-02 -0.0385841133
## stat112  -0.0077189597 -0.0086308900  0.0464982052  0.1247038541 -4.580154e-02 -2.928979e-02  0.0876582636
## stat113   0.0478790103  0.0953150955 -0.0447027999  0.0861208074 -8.266866e-03  7.440819e-02  0.0196960008
## stat114   0.0955708928  0.0658272074  0.0574140789 -0.0941004194 -8.511000e-03  4.043907e-02 -0.0177583624
## stat115   0.0194077945  0.0156400802  0.0840168749  0.0626008531 -2.230379e-02  1.040130e-01  0.0618441044
## stat116  -0.0429451339 -0.0529454963 -0.0639514673 -0.0135539454  9.315564e-02  1.040384e-02  0.0611669677
## stat117   0.0255405139 -0.0450508191 -0.1354679215 -0.1076171975 -2.134495e-02  4.262152e-03 -0.0675299400
## stat118   0.0001003651  0.0258459298  0.0046535800 -0.0480453650  4.951913e-02  1.759244e-01  0.0506604395
## stat119   0.0248465171 -0.0606123428  0.0794880298  0.0804460878  5.655623e-02  1.841723e-02 -0.0504859448
## stat120  -0.0391585284  0.1127225759 -0.0274296644 -0.0239644951 -6.911094e-03  1.679771e-02 -0.0649845277
## stat121  -0.1011319811 -0.0214426986 -0.0224964171  0.0268142172 -4.072444e-03 -3.546681e-02  0.0195649978
## stat122   0.0150015295  0.0337458418  0.0899468447 -0.0467963535 -1.568956e-03  6.078653e-02 -0.0360981692
## stat123   0.0572584583  0.0711534739  0.0083321340  0.0532998027  1.970630e-02  4.856179e-02 -0.1013658361
## stat124   0.0583417096  0.0571572616 -0.0355969887 -0.1380855967  9.079814e-02  8.856563e-03 -0.0478152060
## stat125  -0.0067910915  0.0010614010  0.0504383759  0.0652590393 -3.772755e-02 -3.226175e-02 -0.1179284570
## stat126   0.1622566045 -0.0748894189 -0.0619841111  0.0248150954 -5.539873e-02  9.611589e-03 -0.0276049233
## stat127  -0.0106868227  0.0219416902 -0.0388444011  0.0122169842 -8.368736e-02 -4.285876e-02 -0.0594147495
## stat128   0.0786297934  0.0890942338 -0.0109363161 -0.0108127896  1.445568e-01 -1.672120e-02 -0.0243505761
## stat129  -0.0494416909  0.0878892380  0.1107259251  0.0094077915  1.091249e-02 -3.492909e-02 -0.0109475533
## stat130  -0.0181529285 -0.0560477217 -0.0929702026 -0.0531513714 -5.405383e-02 -1.196671e-02  0.0721743998
## stat131   0.0024641187 -0.0191030956 -0.0551848845  0.0656297121  2.163657e-02  5.488366e-02  0.0879194062
## stat132  -0.0234831605  0.0921576280 -0.0019568865  0.1600220322  1.829445e-02 -3.069757e-02 -0.0207793718
## stat133  -0.0517254721 -0.0209172026  0.0155513878 -0.0190398884 -4.092732e-02 -1.004552e-01 -0.0195342059
## stat134   0.0157105056  0.0419870162  0.0858514117  0.0172253935 -5.723219e-03  6.206063e-02  0.0046774818
## stat135   0.0195304973 -0.0410010684  0.0511163806 -0.0972807416 -1.859085e-02  1.089054e-01 -0.1058785223
## stat136   0.0558611846  0.0474373672  0.0350070751  0.1077987790  1.795251e-02 -1.891066e-01  0.0314886652
## stat137   0.0869894928  0.0847807716  0.0213461443 -0.0524713241  4.483574e-02  7.506841e-02  0.0258038248
## stat138   0.0068040084  0.0484782746  0.0549817645  0.0868712147  4.984913e-02 -4.211838e-02 -0.0835499462
## stat139  -0.0215371059 -0.0546775457 -0.0598085466 -0.0699100666 -7.511518e-03  1.714555e-02 -0.0098923595
## stat140  -0.0008130330  0.0776538943  0.0423102949 -0.0098325776  1.191567e-01 -4.682282e-02 -0.0357076894
## stat141  -0.0475004409  0.0652892791  0.1869727030  0.0264740712  3.364208e-02  1.790624e-02  0.0189020387
## stat142   0.0302793040  0.0653804241 -0.0206000635  0.0592249000 -1.240322e-01 -4.292688e-02 -0.0698918477
## stat143   0.0140871456  0.0391218388 -0.0077093293 -0.0837694574  2.875889e-02  1.690013e-02  0.0617556796
## stat144  -0.0317545278 -0.1742526616 -0.1218459560 -0.0612600705 -7.589069e-03  1.269967e-02  0.0278613571
## stat145   0.0436279996  0.0495865640 -0.0552076940 -0.0282568892  1.771677e-02  5.896478e-02 -0.0678677737
## stat146  -0.0152842163  0.0344694592  0.0775341835  0.0109050532 -4.705901e-02  9.605990e-02 -0.0305940341
## stat147  -0.0592426686  0.0716454435  0.0471803060 -0.0426983125 -5.838193e-02  2.731290e-02  0.0348056723
## stat148   0.0479434930 -0.0552918964  0.0445192730 -0.0373478778  1.452156e-02 -2.787638e-02  0.0972534183
## stat149   0.0279256422  0.1058471902 -0.0581976368 -0.0475913921  8.259289e-02 -1.920816e-02  0.0213046647
## stat150  -0.0122055641 -0.0905490732 -0.0005773646 -0.0575992499  6.111926e-02  3.200748e-02 -0.0794018396
## stat151  -0.0958661845 -0.0280368017 -0.0990208366 -0.0362145378 -6.366050e-02  4.197675e-02 -0.0489069070
## stat152  -0.0490031965 -0.0217743129 -0.0015623172 -0.0006695041  6.233064e-02  3.338251e-03  0.0031927599
## stat153   0.1286472784  0.0190896706  0.0340431998 -0.0644321792 -3.692156e-02 -2.126562e-02  0.0381073726
## stat154   0.0293973133  0.0522187604 -0.0776402723 -0.0342184031  5.035498e-02  7.068112e-02 -0.0776707563
## stat155   0.0250926104 -0.0993198081  0.0570395560 -0.1279976061 -8.978040e-03  8.236506e-02  0.0498053456
## stat156  -0.0114291481 -0.0350094861  0.0007235700  0.0249980740  1.009747e-01 -2.969037e-02  0.0339545170
## stat157   0.0438934865 -0.0078182939 -0.0361326464  0.0257457711 -5.752289e-02 -8.744757e-02 -0.0321047848
## stat158  -0.0838643120  0.0839872987 -0.0361425945  0.0858687991  1.154862e-01 -5.670781e-02 -0.0258276172
## stat159   0.0285847185 -0.1404861963 -0.0273168531 -0.0087028052  8.841714e-02  1.346374e-02 -0.0971842808
## stat160  -0.0800962665 -0.0612864719 -0.0346492497 -0.1133151401 -9.193655e-02  6.466747e-03 -0.0488354575
## stat161  -0.0312532144  0.0656969105 -0.0092938867 -0.0732561677  6.576046e-02  9.878996e-05  0.1554629458
## stat162  -0.0416958418 -0.1608308532 -0.0157748811 -0.0355878307  5.947694e-02  5.032547e-02  0.0324187785
## stat163   0.0242935558 -0.0140297224 -0.0523130626  0.1439530893 -2.639513e-02  6.084866e-02  0.0437626121
## stat164   0.0411161135  0.0717606215  0.0965983840  0.0191583651  1.696166e-02 -3.215909e-02 -0.0866199391
## stat165  -0.1626765117  0.0745139966 -0.0129817161 -0.1027383633  3.124075e-02 -5.571894e-02  0.0234385680
## stat166   0.0967611496 -0.0882920281  0.0720070896 -0.0328857343  3.859356e-02 -7.231207e-03 -0.0265234907
## stat167   0.0259238411  0.1599140855 -0.1041671101  0.0384206015  8.850320e-02 -1.255008e-02  0.0448055509
## stat168   0.0255480298  0.0563258411  0.0363744039  0.0113011780 -1.323149e-01 -1.003701e-01  0.0285497296
## stat169   0.0666770680  0.0176480515 -0.0830059122  0.0729889149 -2.912830e-02  4.505780e-02 -0.1098046704
## stat170   0.1923587570 -0.0282721182  0.0118168122 -0.0400124230 -1.031940e-01 -2.480663e-02 -0.0188451537
## stat171  -0.0012174458  0.0636500776 -0.0648743537  0.0902484726 -6.875954e-02  4.047961e-04  0.0180362764
## stat172   0.0691804328 -0.0488017224 -0.1235575814  0.0289683187 -2.303761e-02 -4.781260e-02 -0.0106076488
## stat173  -0.0535707149  0.0345983120 -0.0470407564 -0.0277794732 -1.079766e-02  1.219705e-01  0.0483830553
## stat174   0.0650495557 -0.0307557616 -0.0075377127  0.1292906975  2.990600e-02  4.638302e-02 -0.0185471425
## stat175  -0.1151925768 -0.0550980964  0.1769868744  0.0295254751 -7.761263e-03 -6.459963e-03  0.0968007546
## stat176   0.1557518447  0.0822988942 -0.0133484289 -0.0950014487 -1.219691e-02  4.399905e-02  0.0798846140
## stat177   0.0495339855  0.0995519030 -0.1064793106 -0.1052594201  5.935657e-03  5.806782e-02 -0.0300152326
## stat178   0.0227791980 -0.0254157062  0.1066227929 -0.0798483208 -7.013807e-02 -6.833115e-02 -0.0185306620
## stat179  -0.0394884203 -0.1756877574  0.0119612554 -0.0207402401  4.399102e-02  1.278209e-02  0.0681729294
## stat180  -0.0215235202  0.0218804588  0.1305991940  0.0507645958  1.445550e-01  1.024586e-01  0.0577319323
## stat181  -0.0206186322 -0.0153150618 -0.0662035925  0.0643566840 -2.551138e-02  8.000777e-02  0.0281917787
## stat182  -0.0189733069  0.0763883818  0.0225872768 -0.0096721203  2.119025e-02 -3.131706e-02  0.0712028011
## stat183  -0.0516698032  0.0241881607 -0.0322982248 -0.0815223720 -3.305343e-02  9.058006e-02 -0.0438195642
## stat184   0.0981113479  0.0551108140  0.0009116876  0.0055541576 -9.392695e-02 -4.959051e-02 -0.0280137314
## stat185   0.0661491650  0.0722349183 -0.1044711801  0.0238202977  6.054205e-02  7.571588e-02  0.0844720296
## stat186  -0.0366297106 -0.0846947908  0.0815301132 -0.0164971908 -3.871638e-02  4.766392e-02  0.0436875365
## stat187   0.0570564046  0.0712005476  0.0121835435  0.0552320913 -8.610244e-02  8.012795e-02  0.0025637361
## stat188  -0.0048760054  0.0890415621  0.1045254436  0.0391492262 -6.880855e-02 -1.927101e-01  0.1611229575
## stat189  -0.1116760089  0.0481407189 -0.0422191758 -0.0515253375 -1.446100e-01 -9.193360e-02  0.0324773460
## stat190  -0.1110495015 -0.0482842991  0.1262392697  0.0075505976 -4.195470e-03  1.855834e-02 -0.0221507302
## stat191   0.0069694429 -0.0233134453 -0.0091354603 -0.0040264867 -1.327759e-01  1.288110e-01 -0.0246518764
## stat192  -0.0243914740 -0.0082670519 -0.0106583001 -0.0077201568 -3.722693e-03 -9.261413e-02  0.0140706144
## stat193  -0.0209394927  0.0315597546 -0.0379865053 -0.0090822713 -2.050361e-02  3.168337e-02 -0.1092411587
## stat194   0.0430354746  0.0501074253  0.0415791806  0.0466892073 -6.952398e-02  7.599666e-02 -0.0182258337
## stat195   0.0510557376  0.0194779633 -0.0400935657 -0.0111945859 -1.458594e-03  5.688482e-03 -0.0648794103
## stat196  -0.0389171806 -0.0098112054 -0.0023579002 -0.0502431985  2.692153e-02  2.713263e-02  0.0446541370
## stat197   0.0226205693  0.0737097227  0.0332652026 -0.0808477146 -3.691127e-02  1.183696e-02  0.0332600700
## stat198  -0.0624845783  0.0027606378 -0.0349743844  0.0188435917  1.167671e-02 -1.676815e-02 -0.0490198710
## stat199  -0.0572619642  0.0357120735  0.0654796447 -0.0743960160 -6.031092e-02  5.401571e-03 -0.0304737975
## stat200  -0.0915666472  0.0117370234  0.0787188040 -0.0211424178  1.938310e-02  5.145520e-03 -0.0097949115
## stat201  -0.0610733599  0.0760249162 -0.0863353653 -0.0973367460 -8.004806e-02  5.767059e-02  0.1032003918
## stat202   0.0151586939 -0.0096344832 -0.1179422429 -0.0783631490  2.393077e-02 -1.112400e-02  0.1030901059
## stat203   0.1388371588  0.0091927953  0.0606770395  0.0285063877 -3.284809e-02  3.443935e-02 -0.0812487754
## stat204   0.0452684951 -0.0331383248  0.0156320247  0.0277437708 -4.298120e-02 -6.464076e-02  0.0285520112
## stat205  -0.0100079538  0.0294835365  0.0004733949 -0.0381469265 -1.890082e-01  1.216429e-01 -0.0805931702
## stat206  -0.1254274281 -0.0903088700 -0.0188941435  0.0261311417 -4.967145e-02  5.375910e-02  0.0642211100
## stat207  -0.0348190847  0.0497904551  0.0498351880  0.0488451398  1.027767e-01 -5.394766e-02 -0.0846675078
## stat208  -0.0803027733 -0.1002870043  0.0248787528  0.0328373269  5.462797e-02 -4.259345e-03 -0.1086382763
## stat209   0.0655858867 -0.1121426509  0.0346355618  0.0304966736 -8.506882e-02  5.369320e-04  0.0259393650
## stat210  -0.0223503055  0.0381380899 -0.0842025236  0.0086825129 -6.589471e-03  2.309903e-03 -0.0718308712
## stat211  -0.0209671396  0.0050996636 -0.0799693944 -0.1024522569 -3.553337e-02 -1.042307e-01 -0.0318672903
## stat212   0.0296740370 -0.0810195105 -0.0345439178 -0.1158618169 -3.309257e-02 -3.350578e-02 -0.0609904542
## stat213  -0.0114379101 -0.0846384668  0.0939777436  0.1292742583  3.117405e-02  1.528149e-01  0.0548709488
## stat214   0.0178551111  0.0118761402 -0.0660086460 -0.0430035395 -2.848856e-02 -2.246195e-04  0.1411488204
## stat215  -0.0274822852  0.0745643955 -0.0662400603  0.0469232249 -5.367621e-02  4.964309e-02 -0.0048771713
## stat216  -0.0668770807  0.0947885235 -0.0630775714 -0.0682799058 -8.665722e-02 -5.202130e-02 -0.0283327759
## stat217  -0.0820786446  0.0566692428 -0.0065714448 -0.0012606279  3.052962e-02 -1.146561e-02  0.0924910960
## x18.sqrt -0.0308208538 -0.0445226032 -0.1233318810  0.1056548039 -4.123176e-02 -6.868194e-02  0.0362134673
##                  PC197         PC198        PC199         PC200         PC201         PC202         PC203         PC204
## x1       -2.586084e-03 -1.199813e-02 -0.060872288  0.0604205316 -0.0593985469 -0.0834194394  2.668585e-03  1.951008e-02
## x2        6.139410e-02  8.091781e-02 -0.132737447  0.0532312327  0.0136633289  0.0539343551 -4.129983e-02 -4.071034e-02
## x3        4.661583e-02 -3.753161e-03 -0.027876165  0.1019155815 -0.0766303396  0.0335346490  1.000119e-01  9.555967e-03
## x4        4.021774e-02  6.537431e-02 -0.014491710 -0.0412559479 -0.1117810553  0.0384863175  1.232838e-02  5.437825e-03
## x5        2.730573e-02  3.038465e-02 -0.121588466 -0.0963103154  0.0681679623  0.0053801946  1.331532e-01 -7.107365e-02
## x6        8.316095e-02 -9.479840e-02 -0.029064936  0.0769430013 -0.0297572564 -0.0655589665 -1.674667e-02  7.794049e-03
## x7       -4.449030e-02 -1.391413e-01  0.074437448 -0.0145295103 -0.0035252244 -0.0544183665 -3.854906e-02 -1.203126e-02
## x8       -5.928090e-02 -7.385465e-02 -0.057572788 -0.0067601355 -0.0968751237 -0.0584100488 -8.165927e-02 -3.228018e-02
## x9       -2.820969e-03 -4.661880e-02  0.028624248 -0.0452934935  0.0045500726  0.0165112570  1.449822e-03  7.962470e-02
## x10       6.965681e-02 -9.472180e-02 -0.002752303 -0.0214199738  0.0258187889 -0.0757043393  1.383304e-01 -4.479007e-02
## x11       7.765691e-02  4.876013e-02  0.060734563 -0.0119940080 -0.0565534764 -0.0281188771 -1.235407e-01 -1.283068e-01
## x12      -5.593661e-02  8.103007e-03  0.064383528 -0.0152463293 -0.0963592423  0.0734871930  3.954410e-02 -4.754954e-03
## x13      -5.061138e-02 -8.092006e-02  0.034612000  0.0902422342 -0.0068912346 -0.1001626611 -3.112882e-02 -8.197697e-02
## x14      -6.523336e-02 -1.368225e-01  0.059206897 -0.0512533822  0.0928968699  0.0484200999  4.191906e-02 -4.711450e-02
## x15      -5.415325e-02  8.278961e-04  0.032849657  0.0488179358  0.0252214761  0.0186238631  2.511726e-02 -1.228288e-01
## x16       6.338294e-02  1.399104e-03 -0.139856510 -0.1230416761  0.0256313925  0.0538231310  4.643899e-02  5.244250e-02
## x17       5.085692e-03 -8.565038e-02  0.087977198  0.0798089286 -0.0473778644  0.0510645895 -5.949233e-02  5.029986e-02
## x19       1.266412e-01 -4.615635e-02 -0.012947653  0.0817706500 -0.0098729105 -0.0626051456 -1.890626e-02 -1.232499e-01
## x20      -8.909045e-02  1.110521e-01  0.026897623 -0.0647722823 -0.1633199832 -0.0258812807  5.741042e-02 -8.299833e-02
## x21       4.063228e-02 -4.402933e-02 -0.029707917  0.0477782620  0.0066976712  0.0203131600  3.298338e-02  5.159511e-02
## x22       4.654563e-02  4.824468e-02 -0.067713513 -0.0265888371  0.0151636182  0.0766114065  3.932474e-02 -2.988397e-02
## x23       4.597556e-02 -8.452155e-02  0.040662441  0.1028431270 -0.1028316891 -0.0555800130 -1.849020e-02  8.056456e-02
## stat1     1.146593e-01 -1.003723e-01  0.102486045  0.0725408803 -0.0353889666  0.1438430648  4.201763e-05 -1.045386e-02
## stat2    -8.789084e-02 -1.279625e-02 -0.086407068 -0.0081737176  0.0160688535  0.1581502445  4.413248e-02 -2.889347e-02
## stat3     6.971866e-02  3.380610e-02  0.032597981 -0.0271700460  0.0288091536  0.0543726321 -1.829006e-02  8.366926e-03
## stat4    -1.715119e-01 -5.120342e-02 -0.029052597  0.0409328773  0.0107079260 -0.0057927175  1.583362e-02 -3.881413e-02
## stat5    -4.632219e-02 -1.876106e-02  0.104732556 -0.0969253104  0.0878165748  0.0440810853  3.401231e-02  3.380726e-02
## stat6    -1.477398e-02  5.778324e-02 -0.035719751  0.0401843706  0.0805697479 -0.0478018053  9.075717e-02  8.297723e-02
## stat7     6.862976e-02  5.430521e-02  0.068828665  0.0764344527 -0.0015594067  0.0732892208  2.526660e-02 -7.671688e-02
## stat8     1.693670e-01 -4.212417e-02  0.020661215 -0.0680710222  0.0177576835  0.0235615105  8.955334e-03 -4.439699e-02
## stat9    -7.790406e-02 -9.654167e-02  0.046216729 -0.0970109336  0.0464275540  0.0253779766  7.488724e-02 -1.083183e-01
## stat10    1.268068e-02  5.338541e-02  0.031683116  0.0035359858 -0.0988443845 -0.1080225842  8.870584e-02 -1.775384e-01
## stat11    2.734758e-02 -3.722250e-02 -0.040034758 -0.0520420143  0.0253883592 -0.1431451162  4.705891e-02 -4.487336e-03
## stat12   -8.962057e-02 -7.786626e-02  0.102904545 -0.0723925944 -0.0440046429  0.0955192517  2.512250e-02  1.049396e-01
## stat13   -1.357846e-01 -1.008498e-01 -0.044819299  0.0179090417 -0.0894824943  0.0173880386 -3.285489e-02 -7.181083e-02
## stat14   -4.629445e-02 -4.732087e-03  0.026758246 -0.0184233247 -0.1522518701  0.0173407596 -1.003681e-01 -3.403024e-02
## stat15    7.665502e-02 -3.593982e-03 -0.061646510 -0.0293668781 -0.0649407956 -0.0534884135  8.770200e-02  5.362821e-02
## stat16   -7.408703e-02  1.642773e-02 -0.004794144  0.0747448532  0.0155117650  0.0099460988  4.974107e-02  7.025705e-02
## stat17    2.871612e-02 -5.040089e-02 -0.036288495 -0.2150840904  0.0234417124  0.0060106259 -5.876031e-02 -6.336139e-03
## stat18    7.816404e-02  3.858601e-02 -0.056395975  0.0183007962  0.1106360294  0.0590313630 -9.787702e-02  3.936091e-02
## stat19    6.999321e-04  4.395552e-02  0.058466292  0.1198905689 -0.0062384033  0.0281866763 -1.155234e-01 -1.201330e-01
## stat20    5.193181e-02 -1.035493e-01  0.104241442  0.0085347842 -0.1360134365 -0.0254769907 -1.340485e-03  3.119847e-02
## stat21   -8.965367e-02  2.395622e-02  0.023297150  0.0273414137 -0.0598903597  0.0616613679 -3.195331e-02  2.535527e-02
## stat22   -5.009640e-02 -6.597749e-02 -0.072638506 -0.0097626299  0.0099863461 -0.0588502557 -2.174037e-02  3.473932e-02
## stat23    4.587976e-02 -1.043796e-02 -0.076110078 -0.0856437571 -0.0373625325 -0.0322308840 -1.111722e-02 -2.074114e-02
## stat24   -3.225804e-02 -4.027471e-02  0.100504576  0.0399569684  0.0304357682  0.0080892559  4.122504e-02  3.645756e-02
## stat25   -8.923712e-02  2.938082e-02  0.031298675  0.1313302008  0.0721524275 -0.1366241569  1.621567e-01 -4.117220e-02
## stat26   -4.894174e-02 -6.288540e-02  0.011472988  0.0420494263  0.0111058307  0.0344005627 -7.021957e-02 -1.023961e-01
## stat27   -6.748643e-02 -5.773996e-02  0.017315520  0.0241636169  0.0374633925  0.0720915171  1.253987e-02 -6.638340e-02
## stat28    1.107448e-01 -6.544098e-02  0.046385838  0.0655036253 -0.0319172262  0.0694888583 -5.155331e-02  9.181220e-02
## stat29    3.989634e-03  1.531165e-01  0.105882098  0.0082170604  0.0437010256 -0.0271147516 -6.904502e-02 -1.260880e-02
## stat30    3.464448e-02  1.003275e-01 -0.111570222 -0.0670254417 -0.1112352879  0.0395347920  1.416915e-02 -6.056500e-02
## stat31   -9.453794e-02 -1.819730e-02 -0.054019870 -0.1286040215 -0.0059019869 -0.0931344129  7.925620e-02  4.867065e-03
## stat32   -2.602614e-02  1.365745e-01  0.015066471  0.0590745187  0.0436583021  0.0277076345 -7.633753e-02  6.550586e-02
## stat33   -2.013555e-02 -1.904351e-02  0.017218905  0.0309077485  0.0835231620  0.0238450006  1.543215e-02 -6.636005e-02
## stat34    1.193983e-01 -6.829726e-02  0.066960205  0.0041406201  0.0325809984 -0.0527923533 -5.141954e-02  4.134855e-02
## stat35    1.052317e-02  1.060758e-01  0.110622274  0.0292957048  0.0132313034  0.0773731635 -4.006120e-02  1.028773e-02
## stat36    3.621651e-02 -6.460017e-03 -0.003015430 -0.0090213249  0.0636378380  0.1151843565 -6.429736e-02  4.921085e-02
## stat37    9.872259e-02 -1.086342e-01 -0.003167474 -0.1120975508 -0.1312616351  0.0254667263  9.625772e-02 -6.169416e-02
## stat38    7.028648e-03  1.011179e-01  0.080422370  0.0688369520  0.0158471935 -0.1313627365 -3.637967e-03 -8.507441e-02
## stat39   -5.914140e-02  1.675276e-02 -0.011855312 -0.0774001564 -0.0047417671  0.0024782499  1.355604e-02 -9.825681e-02
## stat40   -4.097645e-03  7.954978e-03 -0.041894203 -0.1200123706 -0.0901161426  0.0815644882  3.520605e-02 -1.127324e-02
## stat41   -1.196680e-01 -6.116059e-02  0.014358940 -0.0575106432  0.0660436330 -0.0575201741 -6.938683e-02  8.985653e-02
## stat42    5.031599e-02  5.034229e-02 -0.029447442 -0.0575846724  0.0284299385 -0.0790231473  9.187416e-02  6.499339e-02
## stat43    8.255541e-03  6.144017e-02  0.166319565 -0.0018806336  0.0552724977 -0.0759456967  7.391399e-02  8.528806e-03
## stat44    3.312625e-02 -5.634384e-02  0.024701686  0.0513154747 -0.0210500916  0.0457456471  1.339197e-01 -1.132030e-01
## stat45   -1.332137e-02 -1.024866e-01  0.028370678  0.0983336854  0.0760234686 -0.0789491037  3.387673e-02 -5.040184e-02
## stat46    1.106822e-01  2.616554e-02 -0.039366982  0.0106463408  0.0109371678 -0.0505448684 -3.125275e-04 -6.312610e-02
## stat47    1.010389e-01  2.385848e-02 -0.006792457  0.0517235477 -0.0902367929  0.0004735945 -5.140861e-02  7.314531e-02
## stat48   -5.496827e-02 -5.822051e-02 -0.134907160  0.0552541392  0.0547179509  0.0080974868  1.217900e-01  8.829429e-02
## stat49    5.954358e-03  4.286999e-02 -0.030259251  0.0521800564  0.0202794798 -0.0023509139 -2.625918e-02 -7.330318e-03
## stat50    2.500817e-02  6.256154e-04  0.099247105 -0.0842393964  0.0051952287  0.0476573157  9.893052e-02  5.314418e-02
## stat51   -8.714877e-02 -1.040006e-02  0.109117107 -0.0882686226  0.0193279685  0.1201826330  3.229203e-02 -5.548167e-02
## stat52   -6.605164e-02  5.301575e-02  0.130908247  0.0631906868 -0.0384701052  0.1039237617  2.859936e-02 -3.885647e-02
## stat53    5.899480e-02  1.075258e-02 -0.017382179  0.0445245959 -0.0453766930 -0.0019685169  1.297197e-01  1.846240e-01
## stat54   -1.106241e-01  2.704676e-02 -0.039535053  0.0364882632 -0.0379976720  0.0566554376  3.830703e-02 -3.869695e-02
## stat55   -9.712938e-03  6.005516e-02 -0.048919146  0.0254009429  0.0163734480 -0.0447239518 -4.136001e-02 -4.969497e-05
## stat56    6.189143e-02  4.946122e-02 -0.087897272 -0.0635464877  0.0500851174  0.0184598253  6.753224e-03 -6.786601e-02
## stat57    1.018897e-01 -7.815639e-02 -0.010079143 -0.1186545492  0.0407288010  0.0608586697  9.604981e-02  1.677543e-02
## stat58    5.458828e-02  5.642129e-02  0.034654026  0.1261088388  0.0241400876 -0.0535210482 -5.496341e-02  1.277710e-01
## stat59   -1.695319e-02  2.766280e-02  0.046677535 -0.0078111496 -0.0654753122  0.0111859990 -1.288425e-02 -7.094866e-02
## stat60   -4.747595e-02  5.884458e-02 -0.075726012  0.0094404002  0.0273996658  0.0021971677 -5.164592e-02 -6.675484e-02
## stat61   -2.863365e-02 -5.267843e-02  0.103192278 -0.0194603144 -0.0553951714 -0.0452582706 -5.955753e-02  5.383000e-02
## stat62   -9.373490e-02  5.129633e-03  0.002618010  0.0127744240 -0.0654942791  0.0059732318  4.978714e-02  3.295240e-02
## stat63    5.756836e-02  8.054945e-02  0.025945314  0.0405551091  0.0098786637 -0.0303348244 -1.530545e-01  1.262831e-01
## stat64   -3.313426e-02  1.429595e-02 -0.077844533  0.0627718222 -0.0087780721 -0.0815606816  7.155966e-02 -6.132672e-02
## stat65   -2.521572e-02 -1.334129e-01 -0.073612646  0.0578466276  0.0124975627 -0.0059389753 -2.361194e-02  8.695482e-02
## stat66   -1.229786e-02 -4.444980e-02  0.019619848 -0.0059286684 -0.0050922544 -0.1362987628  1.591921e-02 -6.165844e-02
## stat67    3.830167e-02  9.453839e-02  0.070080757 -0.0307894604 -0.1029394462 -0.0156360298  9.432694e-02 -5.362646e-02
## stat68   -3.693578e-02  1.011718e-02  0.005791496 -0.0206231609 -0.1022398061  0.0305190758 -6.650637e-02  7.300684e-03
## stat69    1.706653e-03  7.697883e-02  0.024656460  0.0148664155  0.0704621758  0.1124499674 -3.043877e-02  2.696571e-02
## stat70    2.684138e-02 -4.240560e-02 -0.060072378 -0.1583687508  0.1293152760 -0.0598152757 -4.325729e-02  5.101785e-02
## stat71   -3.066516e-02  4.474516e-02  0.013921208 -0.0888134620 -0.0402031185  0.0060545758 -6.781181e-02 -2.059544e-02
## stat72    3.494763e-02 -3.499941e-02  0.002940986  0.0273391032  0.0512614861  0.0515515295 -1.415348e-02  1.273551e-01
## stat73   -1.196542e-02  3.503144e-02 -0.014693374 -0.0391105364  0.1020925294  0.0982282948  1.371312e-02 -6.689878e-03
## stat74    6.734098e-02 -4.873117e-02 -0.124016007  0.0066554853  0.0368349609  0.0052148697 -1.053128e-01 -4.220152e-02
## stat75    1.888520e-02 -8.396716e-03  0.004688181  0.0927917774  0.0230180419 -0.1415822744  1.368869e-02 -5.747504e-03
## stat76   -3.457345e-02 -1.254885e-02 -0.021350744 -0.0590723053 -0.0201258296  0.0365227369  8.456339e-02 -9.792539e-03
## stat77    2.450736e-02  3.367721e-02 -0.035363034 -0.0528035576  0.0054910502 -0.0850931172  2.633648e-02 -4.675686e-03
## stat78    1.631649e-02  6.105746e-02  0.037895440  0.0908870800  0.0328007336  0.0511880873 -1.445068e-02  9.323843e-03
## stat79   -1.369357e-01  1.977118e-02 -0.078714123  0.1098842885  0.0209291479 -0.0490959828 -5.212308e-02 -5.472631e-02
## stat80   -1.450950e-01  2.435152e-02  0.009802456 -0.0832991251 -0.0172544561 -0.0167340347  5.934381e-02  6.744532e-02
## stat81   -4.687006e-02  1.101827e-01 -0.044664014  0.0487064693  0.0654850918  0.2358240842  1.577375e-02 -3.080291e-02
## stat82    3.715119e-02  4.261033e-02  0.070056880 -0.0534608440 -0.0113448166 -0.0663590602 -5.687371e-02 -1.525138e-02
## stat83   -5.750102e-03 -5.212873e-03  0.088850523 -0.0782810073 -0.0046763958  0.0046726737 -1.155194e-01  4.480626e-02
## stat84    5.706700e-02  2.106518e-02 -0.099774867  0.0188468717  0.0472350110  0.0228060810  6.362769e-02  4.481523e-02
## stat85    4.460969e-02 -1.012836e-03  0.102261524  0.0306231046  0.0350450042  0.0062818085 -1.807672e-02  6.360285e-02
## stat86   -1.276857e-02  2.792603e-06 -0.016236849 -0.0009909942  0.0722907501  0.1474976603  9.213377e-02  1.218799e-02
## stat87   -2.165824e-03  5.836934e-02  0.099953897 -0.0072144852 -0.0570684719  0.0064176595  1.547749e-02 -3.068504e-03
## stat88   -9.393617e-03  1.181393e-02 -0.004216077  0.0785301946 -0.1070874439 -0.0062500347  1.679181e-01 -3.475360e-03
## stat89    7.897351e-02  6.414971e-03 -0.025169460  0.0197937641  0.0821493536  0.0195221345  7.180670e-02 -6.397493e-02
## stat90    1.029790e-02  6.614102e-03 -0.076408625  0.0131892369 -0.0837687421 -0.0061387084 -5.063594e-02  6.495627e-03
## stat91    5.880546e-02 -6.564336e-02 -0.046014199  0.0316172882  0.0770904617  0.0318038038 -6.179362e-02 -9.203119e-02
## stat92    7.210726e-02 -3.418442e-03  0.033525624 -0.0093833402  0.0169783153 -0.0562163569 -1.140520e-01  4.070052e-02
## stat93   -8.287204e-02 -1.519006e-02 -0.107761684 -0.0676291861 -0.0083423063 -0.0358982775 -5.577597e-02 -8.755449e-02
## stat94   -1.284208e-01  2.323631e-02 -0.034223847  0.0485471754  0.0150091576 -0.0004773821 -1.535132e-02  8.888618e-02
## stat95    4.237880e-02 -8.174504e-02  0.083703686 -0.0461955062 -0.0977721221  0.0209993738  5.683666e-02 -7.067565e-02
## stat96    2.498161e-02  3.465349e-02 -0.081583485 -0.0635330377  0.0715459053 -0.0120613895 -1.597045e-01 -1.240547e-02
## stat97   -3.693818e-02 -4.334932e-02  0.085225163 -0.0342758732 -0.0150319329  0.0764658717 -8.235346e-02 -7.805112e-02
## stat98   -5.888061e-02 -1.199464e-01 -0.057095709  0.0519326261 -0.2429979628  0.0308112174  1.123904e-01  8.166519e-02
## stat99    7.353385e-02  7.918658e-03 -0.008449712  0.1609858887  0.0080995715  0.0005785019  2.356444e-03 -1.219503e-01
## stat100   9.780736e-02 -4.325676e-02 -0.021688394  0.0268261540  0.0795387187  0.0240943718 -5.862687e-02 -8.796651e-02
## stat101   1.989161e-02 -5.227216e-02 -0.032786939  0.0870747419  0.0561786396  0.0242312530 -9.725910e-03  3.689974e-03
## stat102  -1.118872e-02 -4.037832e-02  0.038097844 -0.0173346549 -0.0112683981  0.0899909096 -5.784264e-02 -5.812344e-03
## stat103   4.484369e-03 -1.779496e-02 -0.018208905 -0.0136717924 -0.0164965867  0.0718908528  3.580409e-03  7.638722e-02
## stat104   4.259839e-02  6.153635e-02 -0.046394461  0.0288054190 -0.0748617067  0.0897131539  2.181541e-02  2.272950e-02
## stat105   1.544140e-02 -1.355326e-01 -0.019753353  0.0373774955 -0.0593278008 -0.0011304211 -6.722930e-02 -4.134535e-03
## stat106   1.258949e-01  3.745172e-03 -0.147392873 -0.0766046137  0.0089618289 -0.0123712769  2.789165e-02 -1.026647e-02
## stat107  -6.940505e-02 -3.707153e-02 -0.040240424  0.0273551518  0.0133456002 -0.1277048220  8.842046e-03  1.047687e-02
## stat108  -8.230082e-02  8.309254e-03 -0.091097942  0.0296038248 -0.0050531830  0.0199011990  3.529135e-03 -6.176363e-02
## stat109  -3.794996e-02  4.877493e-02 -0.055527883  0.0199256321 -0.0483354570  0.0396109518 -1.453529e-01  2.351378e-02
## stat110   8.615137e-03 -1.009698e-01 -0.006195139  0.0902678420  0.1115489088 -0.0906473366  6.492649e-02 -5.780285e-02
## stat111  -7.703728e-02 -8.479440e-02 -0.076549458 -0.0536340494  0.0893503629  0.0863568239 -8.545793e-02 -4.584879e-02
## stat112  -6.302979e-02 -7.073583e-02 -0.020068988  0.0591602122  0.0005693394  0.0491250481  2.693747e-02  1.461036e-01
## stat113   5.423643e-02  6.420224e-02 -0.084402364  0.0194957443 -0.0102716435  0.0248864931 -7.312683e-02  7.059532e-02
## stat114   2.566645e-02 -1.442306e-01  0.029756452  0.0556809682  0.0123970854  0.1259352020 -4.738453e-02 -3.786010e-02
## stat115  -1.092861e-01 -5.056945e-02  0.003592637 -0.0116387972 -0.0093461082 -0.1052312785 -1.516525e-02  4.809453e-02
## stat116   2.112211e-02  4.443625e-02  0.115269520  0.0622764869  0.1156898179 -0.0604690696  6.621371e-02  3.147555e-02
## stat117   6.340537e-02 -3.559333e-02  0.025796089  0.0277366423 -0.0727609493 -0.0124671456  9.328692e-03 -4.680372e-02
## stat118   9.181647e-05  6.344162e-02  0.026511423  0.0284085166 -0.0660074337  0.0436725827 -5.974041e-02 -5.945853e-03
## stat119  -2.285088e-02  2.406268e-02  0.002834794  0.1527197276 -0.0681105112  0.0029156332 -5.089797e-02 -1.433490e-02
## stat120   1.630094e-02 -7.258551e-02 -0.053588643  0.1242990042 -0.0679881917  0.0153210280  4.230008e-02  3.167499e-02
## stat121   9.483355e-03 -1.075949e-02 -0.119123309  0.0442102307  0.0327701066 -0.0435056542 -1.213905e-01 -7.372772e-02
## stat122  -4.079661e-02  1.171597e-01  0.065319198 -0.0627791121  0.0694432314 -0.1136193057 -3.162168e-02  1.487939e-01
## stat123  -1.916428e-02  1.194586e-02 -0.076279664  0.0965489044  0.0010897864 -0.0613997901  6.052857e-02  9.593530e-02
## stat124   3.180281e-02  4.994469e-03 -0.032863072  0.0186808061 -0.0797288926  0.0399657938  5.395823e-02 -6.597221e-03
## stat125   3.857103e-02  3.710659e-03  0.055145399 -0.1012406764  0.0319749830 -0.0850857613  1.126606e-01 -1.088955e-02
## stat126   1.004892e-02 -3.039861e-02 -0.045989298  0.1152260941 -0.0322234284  0.0006749677  4.528803e-02  9.124343e-02
## stat127   2.738117e-02  2.306660e-02  0.017917864  0.0770885775  0.0451688064  0.0130492213  6.415902e-02 -4.143783e-03
## stat128   8.752105e-04  1.037141e-03  0.155432951 -0.0706239176  0.0462523571  0.0204724528  2.996224e-02  1.950132e-02
## stat129  -3.690858e-03  3.291436e-02  0.015676322  0.0300854947 -0.0543799381  0.1334638499  7.048219e-02 -4.543851e-02
## stat130   3.587516e-02 -8.734396e-02  0.185276689  0.0597433546 -0.0800668068 -0.0192885228  9.514429e-02 -1.154059e-02
## stat131  -8.052834e-02 -7.638684e-02 -0.051665670 -0.0199318029  0.0778749900  0.0931657889  2.628740e-02 -2.675832e-03
## stat132   3.406259e-02 -1.831168e-02  0.058080122  0.0521108854  0.0211160388  0.0328130321  1.443386e-02 -4.211983e-02
## stat133   1.335649e-01  4.552324e-03  0.023560325 -0.1026195290 -0.0156413359  0.0067645304  3.962074e-02  5.460342e-03
## stat134   1.319061e-01 -9.274804e-02 -0.092929672 -0.0055583511 -0.0510731159  0.0082516187  1.061808e-01  3.496523e-02
## stat135   1.431639e-01  5.734871e-02  0.049853704  0.0941505607  0.0279626179 -0.0504705641  3.891596e-02 -1.528528e-01
## stat136   7.586167e-02 -1.119522e-01  0.028847602  0.0103250706 -0.0481310755 -0.0118277871 -5.650885e-02  4.548547e-02
## stat137  -6.607831e-02 -5.506246e-02  0.110230048 -0.0538785261  0.0064013285  0.0480729245 -5.482045e-02 -9.906502e-02
## stat138   5.604784e-02 -2.101073e-02 -0.027443456  0.1168946117  0.0673854434  0.0339261921 -7.245044e-02 -4.008775e-02
## stat139  -1.197184e-02 -1.067294e-01  0.014333268 -0.0449305396  0.1055276609 -0.0121244368 -6.611842e-02 -1.659446e-03
## stat140  -9.988862e-02  2.436652e-02 -0.058477398  0.0317244414 -0.0652518107 -0.0504283736 -4.408475e-02  2.929124e-02
## stat141   1.609955e-02  2.340439e-02  0.083395668 -0.0202294544  0.0920597555 -0.1087401562  3.238998e-02 -1.811291e-03
## stat142   1.122791e-02  4.356854e-02 -0.043117820  0.1097884146  0.0589327254  0.0816920356  6.879245e-02 -6.149081e-02
## stat143   6.181790e-02 -6.429346e-02  0.016840418 -0.0207203660  0.0052402750  0.0516861506 -3.433056e-02 -3.236055e-02
## stat144   7.279418e-03  7.255270e-04 -0.091356041  0.0407423387  0.0551733940 -0.0496936272 -3.278881e-02  5.304715e-02
## stat145   2.901230e-02  2.873144e-02  0.032502958  0.0689043153  0.0049054367  0.1204960675  8.650225e-02  3.989237e-02
## stat146  -5.062710e-02 -3.899905e-02  0.078737560  0.0405472042  0.0021071118 -0.0053647449 -1.200686e-01 -2.892807e-02
## stat147   4.923585e-02  1.290254e-01  0.066515394  0.0310389046 -0.0884296356  0.0110222730  5.117729e-02  7.743796e-03
## stat148  -1.114375e-02 -1.257775e-01 -0.017962551  0.0805637019 -0.0334333561 -0.0429297856  6.375760e-02 -7.966396e-02
## stat149  -3.677642e-02 -8.295382e-03 -0.081778132  0.0697063489  0.0130836395  0.0050408577 -2.143840e-02  1.155334e-01
## stat150   2.262310e-03  4.675107e-03 -0.069193488  0.0884074333 -0.0927312564  0.0435060991  3.559724e-04  5.300336e-02
## stat151   1.055872e-01  6.380500e-02 -0.069016141 -0.0655793482  0.0865098333  0.0627095631 -2.356553e-02 -9.262398e-03
## stat152   8.998790e-02  7.333608e-02 -0.013805255  0.0135700616 -0.0623550631 -0.0465140069 -6.305637e-02  1.169762e-02
## stat153  -5.177865e-02 -4.426013e-03 -0.068175182 -0.1262460829  0.0078065024 -0.0908526122  4.470668e-02 -1.044465e-02
## stat154  -1.124460e-02 -9.005774e-02  0.003870737 -0.0026369868  0.0853394815 -0.0845458298 -9.308588e-02  5.269945e-02
## stat155  -6.577728e-03 -5.093575e-02 -0.021165586 -0.0375963404  0.0465494020 -0.0133383357 -2.582489e-02 -8.130433e-02
## stat156   1.110144e-01 -7.429953e-02  0.074932835 -0.0050000329  0.0310956978  0.0176791550  4.780383e-02  6.653965e-02
## stat157   8.211042e-02  7.038770e-02 -0.057056422 -0.0651201854 -0.0775731779  0.0714305875 -2.622690e-02  4.269056e-02
## stat158  -5.088894e-02 -6.169272e-03  0.020852330  0.0889734345  0.1140384072  0.0875361032 -1.155792e-02  8.885244e-02
## stat159  -2.589383e-03  1.062584e-02  0.028119262 -0.0154142973  0.0106058468  0.0145531316 -9.303825e-02  6.811865e-02
## stat160  -4.172469e-03  9.378462e-03 -0.004405967 -0.0459087099  0.0066608385 -0.0342043024 -9.956802e-02  8.471110e-02
## stat161  -3.052349e-02  5.297173e-03  0.095731806 -0.0908968287 -0.0236302927 -0.1602097827  2.155475e-02 -5.840007e-02
## stat162  -1.245628e-02  1.617601e-01 -0.026364231  0.0046874947  0.0102931860  0.0576476460  7.312078e-02 -5.137292e-02
## stat163   3.032982e-02 -4.434661e-02  0.017229018 -0.0585795068  0.0562209910  0.0712119317  3.696911e-02 -3.351495e-02
## stat164  -6.364141e-02  1.608624e-02 -0.020904207  0.0483083656 -0.0280458744  0.0118022665  4.790400e-02 -2.538092e-02
## stat165  -1.051557e-01 -4.360783e-02  0.086016856  0.0989284737  0.0877880698 -0.0332368275  8.641088e-02  5.862240e-02
## stat166   8.446739e-02  9.151576e-02  0.058425935 -0.0120069111  0.0650553435 -0.0021790639  8.383938e-02  1.663696e-02
## stat167  -9.604849e-03  4.530971e-02  0.014918201  0.0496814771  0.0136241547 -0.0655529967 -4.800153e-02 -1.102556e-01
## stat168   9.716953e-03  5.663197e-02  0.014213707 -0.0498441052  0.0328656343  0.0074490685  1.886647e-02  6.758482e-02
## stat169  -1.016937e-01 -2.855946e-02 -0.015623795 -0.0030131529  0.1125349314 -0.0350756918  1.016111e-01  8.047681e-02
## stat170   9.502108e-02 -9.596721e-02  0.153333828 -0.0230249959 -0.0642828183 -0.0675470723 -5.097800e-02  4.503166e-02
## stat171  -3.894226e-02  1.424000e-01  0.025029683  0.0193097641  0.0579899336  0.0400230742 -8.258467e-03  1.809260e-02
## stat172  -6.006972e-02 -2.045492e-01  0.003005422 -0.0159012039  0.0489240305 -0.0535624714 -2.166182e-02 -4.989749e-02
## stat173   4.308710e-02 -5.862394e-03 -0.121255991 -0.0375753788  0.0184043753  0.0185910510  3.637554e-02 -7.327720e-02
## stat174   1.026795e-01 -3.127792e-02  0.012364893  0.0557764995 -0.0230993688 -0.0826823421  1.158420e-01  1.168524e-01
## stat175  -3.529057e-02 -1.067360e-01  0.039984989  0.0199007630  0.0286443425  0.1125685890  7.213664e-02 -3.140202e-02
## stat176   7.314943e-02  5.759324e-02 -0.065295587 -0.1084532724  0.0501392792  0.0711153959 -5.562231e-02  8.626345e-04
## stat177  -3.307932e-02  1.204112e-01  0.088385313 -0.0251488573  0.0318291400 -0.1048208128 -1.594741e-03 -1.130089e-01
## stat178   4.949756e-02  3.574073e-02 -0.058319344  0.0670095792  0.0135917422  0.0739158797  1.011440e-01  5.327097e-02
## stat179  -6.195755e-02  3.218822e-02  0.068748336  0.0266760429 -0.0053602940  0.0603158544 -1.389556e-01  3.671591e-03
## stat180  -1.692910e-02 -9.055191e-02  0.012896615 -0.0019881722  0.0851062790 -0.0915126372 -1.084283e-01 -1.008710e-01
## stat181   7.430893e-02  7.843138e-02  0.111441696 -0.0874766033 -0.0208289353 -0.0298472612  1.217629e-01  5.400562e-02
## stat182  -4.204422e-02  2.989578e-02 -0.024958144 -0.0501395780  0.0587476488  0.0217593747  1.015361e-01 -3.815564e-02
## stat183   2.340976e-02 -8.641555e-02  0.003348994 -0.0119226020  0.1616662716  0.1474328625  3.871043e-02  3.934926e-02
## stat184   2.795502e-02  8.730111e-02  0.075040515  0.0616252646  0.0817516265 -0.0734567342  1.706440e-03  3.461661e-02
## stat185   9.060697e-02 -6.149606e-02 -0.115518431  0.0951031276 -0.0719980482 -0.0375176812  2.801659e-02  6.342790e-02
## stat186  -5.915920e-02 -6.366421e-02 -0.063978345  0.1133066690 -0.0393527354 -0.0254621126 -1.807096e-02  5.804645e-02
## stat187  -2.783804e-02 -2.587465e-02 -0.081676542  0.0623291805 -0.1031677809  0.0320919284 -9.905494e-02 -4.599786e-02
## stat188  -2.507039e-02  4.691992e-02  0.002409329  0.0295743803  0.0726241687  0.0033235962  3.169904e-02 -6.078925e-02
## stat189  -2.882763e-02  4.644540e-02  0.084072087 -0.0745984294 -0.1184753094 -0.0312365336 -1.072453e-01  8.594689e-02
## stat190   7.154143e-02 -7.062731e-03 -0.024705551  0.0357093350  0.0530202974  0.0020175656 -5.298738e-02 -3.865976e-02
## stat191  -9.490257e-02  4.793106e-02 -0.034066558 -0.0256097450 -0.0344178939  0.0038550785  5.922322e-02  5.541609e-02
## stat192  -1.462055e-02 -4.546909e-02 -0.062118965 -0.0619501791 -0.1460352111 -0.0186134150 -2.508303e-02 -1.302045e-01
## stat193   4.068073e-02 -4.112378e-02 -0.036844998  0.0677968635  0.1087902280  0.0396830058  8.323454e-02 -1.431511e-01
## stat194   1.236098e-01 -8.301307e-02  0.101349435  0.0778283691  0.0381646363  0.0452227204 -5.463146e-02 -8.605820e-02
## stat195  -5.822459e-02 -1.368984e-02  0.023278924  0.0297738892  0.0812484770 -0.0491499034  4.278173e-03 -4.757842e-02
## stat196   1.513819e-02  3.645742e-02  0.003394415 -0.0322361153 -0.0683757951 -0.1024763826 -3.247779e-02 -8.167945e-02
## stat197  -1.162492e-01  2.962698e-02  0.044603562 -0.0428643785  0.0128330910 -0.0020875820 -7.670489e-02  4.608719e-02
## stat198   2.035500e-03  1.235534e-02 -0.041369669 -0.0442956861  0.0173141643 -0.1711303950 -2.172212e-03  6.894360e-02
## stat199   2.408380e-02 -3.006437e-02  0.067009897 -0.1321814085 -0.0940474470  0.0631504249 -1.499976e-02  6.309655e-02
## stat200  -7.688100e-02  5.082631e-02 -0.022343896  0.0518306529  0.0211968349 -0.0105887087  2.888226e-02  1.145247e-02
## stat201  -1.041407e-01 -5.887639e-02 -0.060296155  0.0117727618  0.0065200798 -0.0345447343 -8.890285e-03  1.503389e-01
## stat202   2.610103e-02  1.178126e-01  0.001330329  0.0619054007 -0.1027530421 -0.0159443846  1.016605e-02 -1.006277e-01
## stat203   3.861890e-02 -3.335503e-02 -0.029720819 -0.0528168154  0.1272813968 -0.0779280898 -5.531230e-04  1.945132e-02
## stat204  -7.803181e-02  2.668359e-02  0.067453809  0.0493263702  0.0319995835  0.0642194984  5.725072e-02  3.660048e-03
## stat205   7.739674e-02 -2.887833e-02 -0.082280201 -0.0370638764 -0.0371250060 -0.0589688262  1.578909e-02  1.693557e-02
## stat206   7.877732e-02 -1.761328e-02  0.010246548 -0.0130542253  0.0970664657  0.0211390250 -5.090969e-02 -8.083758e-02
## stat207   9.351729e-02 -6.743084e-02  0.123716361 -0.0606940409  0.0397479148  0.0028343056  9.683945e-03  1.369574e-01
## stat208   1.235785e-01  2.287596e-02 -0.096556029 -0.0607006440 -0.0125207638 -0.0702998340  1.879045e-02  1.968355e-02
## stat209   5.710496e-02  9.820227e-02  0.084407783  0.0270321514  0.0514083171  0.0068707793 -2.603966e-02  4.732435e-02
## stat210  -2.095116e-04 -6.249111e-02  0.010396452  0.0176295540 -0.0185883488  0.0303706017  1.851774e-02 -5.598848e-02
## stat211  -2.611679e-02  3.819616e-03  0.018165270 -0.0314136077  0.0526577270 -0.0080707546  7.089564e-02 -1.000542e-01
## stat212  -6.850350e-02  1.663353e-01  0.001835482  0.0126509339 -0.0330036789 -0.0335899173  5.440256e-02  1.584819e-02
## stat213   1.802597e-02 -8.515913e-02  0.084428327  0.0098360973  0.0400812995  0.1156143328  7.856034e-03  9.379976e-03
## stat214  -3.098004e-02  8.579676e-02  0.075999061  0.1192450752  0.1152331602 -0.0853900769  6.399763e-02  3.969193e-03
## stat215  -1.714106e-01  1.803659e-02 -0.016308099 -0.0787843663 -0.0357637888  0.0644059203  6.056929e-02 -4.585344e-02
## stat216   4.846554e-02 -7.601085e-02  0.023961553  0.0449462823 -0.1691109340  0.0148332270  2.281295e-02  2.347445e-02
## stat217  -2.188600e-02 -7.852727e-02  0.060874136 -0.1038749470  0.0540820826 -0.0428578567  8.571931e-02 -3.561217e-02
## x18.sqrt  4.858839e-02 -1.947431e-02 -0.063354163  0.0675962157  0.1045114992 -0.0309430786 -1.268924e-03  1.559144e-02
##                  PC205         PC206         PC207        PC208         PC209         PC210         PC211         PC212
## x1       -1.065717e-01 -1.339629e-02 -0.0332037624  0.031026619 -0.0042946877 -6.348944e-02  0.0616471853  1.989632e-02
## x2       -1.068713e-01 -6.047697e-02  0.1030448191  0.099521886 -0.1152948079  4.135377e-02  0.0549126365  3.648634e-02
## x3       -8.318323e-02 -2.352132e-02  0.0224817763 -0.003848793  0.1105161421  3.880836e-02 -0.0366376038 -4.571439e-02
## x4        6.762797e-02 -3.482967e-02  0.1550363295 -0.026613259  0.0076114007  3.879417e-02  0.0944529090 -3.044986e-02
## x5       -3.755296e-02 -4.074597e-02  0.0031959385 -0.052052315 -0.1571526413  2.367886e-03  0.0272739552 -6.253270e-02
## x6       -2.824826e-04  1.337059e-01 -0.1211332798  0.063327590 -0.0962241867 -2.684542e-02  0.0581866517  1.232787e-02
## x7        5.848742e-02  7.895540e-02 -0.0219746233  0.054181531 -0.0317097730  1.423506e-01 -0.0558095093 -2.080902e-02
## x8       -3.787345e-02  8.838485e-02  0.0372450808 -0.073460795 -0.0612581511 -3.261305e-02  0.0203493979 -9.705967e-02
## x9        5.041120e-02 -9.624242e-05 -0.0606115218  0.080599629  0.0232884666  3.270671e-02 -0.0828840020  7.121973e-02
## x10       1.326468e-01 -3.080205e-02 -0.0458337953  0.004238024 -0.0146056557  4.037912e-02  0.0056264328 -8.479294e-03
## x11       1.047987e-02  2.152255e-02 -0.0296828146  0.009836962 -0.1287841676  2.058915e-02  0.1309215734  2.481747e-02
## x12       8.215092e-02  2.721199e-02 -0.0465435863  0.034361029  0.0241539346  1.902533e-02 -0.0358950256 -1.663909e-02
## x13      -3.595327e-02 -1.071701e-01 -0.0862647065 -0.005927182 -0.1679672917 -9.189664e-03  0.0418245177  1.296948e-01
## x14      -1.065833e-01 -3.583198e-02  0.0062596083 -0.038336567  0.0261982221 -1.136443e-04  0.0544237767  9.806597e-02
## x15       5.913883e-02 -4.396354e-02  0.0859570504  0.115107728 -0.0233707271 -7.264729e-02 -0.0177473326 -2.589919e-02
## x16       8.234521e-02  8.330178e-02 -0.0999547691  0.034054291  0.0407144209  3.554641e-02 -0.0955323585  5.116873e-02
## x17      -3.745927e-02  1.185579e-01 -0.0033053014  0.039034899  0.0191837596 -3.648462e-02  0.0238277310 -6.715993e-02
## x19       1.103948e-01 -9.215353e-02  0.0476522365  0.026949466  0.0164401278 -5.084499e-02 -0.1050450819 -1.208008e-03
## x20      -1.941226e-02 -1.216986e-02 -0.0763342351 -0.052535483 -0.1962497827 -4.093859e-02 -0.0034398534  5.824835e-02
## x21       1.262749e-01 -5.055005e-02  0.0258678767 -0.017595864 -0.1279091525 -5.999295e-04  0.0451064288  3.582885e-02
## x22      -5.765553e-02 -5.702100e-02 -0.0526145971  0.023597662 -0.0046280917  1.400024e-01 -0.0305291158  8.122858e-02
## x23       2.492443e-02  1.909889e-02  0.0276672126  0.025785441 -0.0079685127 -5.112248e-02  0.0437055630  2.956503e-02
## stat1     5.914811e-02 -8.173366e-02 -0.0683312654 -0.096471047 -0.0722336843 -2.850214e-02  0.0160954872  1.342392e-02
## stat2    -1.322813e-02  2.408194e-02 -0.0931903043  0.082900771 -0.0189790366 -9.117048e-02 -0.0958365177  7.050171e-02
## stat3     2.489587e-02  1.123162e-01 -0.0022564071 -0.128649479  0.0482061964 -5.365072e-02 -0.0601874661  2.982143e-02
## stat4    -1.124577e-01 -2.604213e-02 -0.0906660822  0.078890437 -0.0493789118  3.297556e-02  0.0020420597 -6.171769e-02
## stat5    -9.753398e-02  5.422935e-02 -0.0144272449  0.003203060 -0.0440262530  5.477305e-02 -0.0618571644  6.665604e-03
## stat6     1.833424e-02 -5.328175e-02 -0.1112295325  0.083526355  0.0924669545  9.272278e-02  0.0042107904 -4.262304e-02
## stat7     1.492174e-01 -2.337746e-02 -0.0193854981  0.027779312  0.0508793731 -2.189841e-02  0.0116780349 -8.752336e-02
## stat8     4.780390e-02  8.901186e-03  0.0436659234 -0.040836563 -0.0234489075  7.105846e-02  0.0624165681 -4.927327e-02
## stat9    -3.280312e-02 -9.344306e-02 -0.0344223365 -0.063530784 -0.0467249630 -3.558821e-02  0.1098777811 -1.375254e-01
## stat10   -2.830342e-02  6.230520e-02  0.0540248508 -0.077756906  0.0663326080 -3.416981e-02 -0.0009714263 -4.030544e-02
## stat11    4.018774e-02 -7.485880e-02  0.0385633695  0.019733809  0.0569630593  2.423663e-03  0.0081642585 -7.912413e-02
## stat12    3.891156e-02  8.604083e-02  0.1180105481  0.087640074 -0.0540114594 -7.119630e-02 -0.0467922849 -2.429470e-02
## stat13    1.540475e-01  3.517137e-02 -0.1374618563  0.016611689 -0.0032659469  4.154689e-02  0.0844298800 -2.876869e-02
## stat14    6.760458e-02  5.439103e-02  0.0194492061 -0.091434006 -0.0331977315  2.585878e-02  0.0275970388 -4.226995e-02
## stat15    8.127934e-02  1.227553e-01  0.0080851416 -0.055426391 -0.0127526445  3.757626e-02 -0.0914597745 -3.497984e-02
## stat16    7.352739e-02 -4.652741e-02 -0.0886643762  0.024447457  0.0328925148 -2.593897e-03  0.0626860527  6.399916e-02
## stat17    3.118637e-02  8.762540e-04 -0.0028311530 -0.013081126  0.0394762562 -8.046162e-02 -0.0511726845  6.706912e-02
## stat18   -2.452237e-04 -2.406113e-02  0.0025672847 -0.111864214 -0.0198993680  1.914731e-02  0.0690477433  7.709763e-03
## stat19    7.323489e-02 -1.025474e-01  0.0107472245  0.008754457 -0.0920642474 -6.094404e-02  0.0284342097  6.924023e-03
## stat20   -3.165713e-02 -2.435050e-02  0.0010980154  0.003109331  0.0266718577  1.194172e-02 -0.0129083213  1.091314e-02
## stat21    1.054446e-01 -8.061033e-02 -0.1230941877 -0.037848957 -0.0204091741  3.849007e-02  0.0353430601 -3.026005e-02
## stat22    6.258914e-02 -2.212522e-02 -0.0292615132 -0.084804183  0.0544945899 -6.161528e-02 -0.0744585125 -7.073893e-03
## stat23    3.191695e-02  1.514049e-01 -0.0430940279  0.095128615 -0.0410066793 -7.708054e-02 -0.0407727116  5.685445e-02
## stat24    2.055970e-02 -6.239434e-03 -0.0587075443  0.023123424  0.0661329680 -1.067628e-01  0.1592977293  1.154507e-01
## stat25   -6.044014e-03 -5.364188e-03  0.0689071353  0.040447107  0.0424233895 -1.167624e-01 -0.0299203326  4.977590e-02
## stat26   -6.396915e-02 -3.877756e-02  0.0806796294  0.107576634  0.0462658364 -6.538710e-03 -0.0053270448 -6.241280e-02
## stat27   -5.865866e-02  1.146722e-03  0.0039201321 -0.062788817  0.0209285223  1.061710e-01  0.0126304778 -6.257582e-02
## stat28   -7.078459e-02  8.804672e-02 -0.0578655763 -0.013247057 -0.0017965673 -2.989477e-02 -0.0118104528  1.060977e-01
## stat29    8.119771e-02  8.702430e-02 -0.0902816798  0.061056494 -0.0714910604  3.857513e-02 -0.0232357209  5.431020e-02
## stat30    1.123346e-01 -4.432572e-02  0.0774053369  0.045016101  0.0857169767 -1.018142e-01 -0.0439001729 -3.337172e-02
## stat31    2.913688e-02  3.210528e-02  0.1283920562 -0.049902114  0.1065359902  2.634084e-02  0.0474048213  7.118069e-02
## stat32    3.629023e-02 -8.319986e-03  0.0570490134  0.009643847 -0.0615105709 -6.441220e-02 -0.0250171508 -5.103722e-02
## stat33   -6.648424e-02 -6.020479e-02  0.0278748554  0.109763041  0.1217916845 -7.265461e-02  0.0151284816 -1.196907e-02
## stat34   -1.261542e-01 -5.175707e-03  0.0584161018 -0.049480986 -0.0484314849 -1.334025e-01  0.0198533178  4.751675e-02
## stat35    1.217474e-01  1.124735e-01 -0.0468208664 -0.003033257  0.0774113989 -3.698398e-02 -0.0514660311  6.732857e-02
## stat36    2.527439e-02  3.359210e-02  0.0584099527  0.078944686 -0.0016218769 -1.312701e-02 -0.0161081660 -6.815967e-02
## stat37   -4.739721e-02 -2.355104e-02 -0.0122491970 -0.027787228  0.0039475134  3.188751e-02  0.0637967036  1.273469e-01
## stat38   -8.863092e-02 -4.954010e-02 -0.0241980709 -0.032699637  0.0940116172 -3.889194e-02  0.0310569129 -1.599485e-02
## stat39    1.358522e-01 -2.723909e-02  0.1253200340  0.060035816  0.0018971312 -1.421568e-01 -0.0046004417  1.341954e-01
## stat40    1.023695e-01  8.581321e-02  0.0004456825 -0.006963831  0.0852997110 -7.305855e-02 -0.0475026589 -4.302919e-02
## stat41    1.113731e-01 -5.184510e-02  0.1671210843  0.018477652  0.0240102981  4.201683e-02 -0.0754584116 -5.781939e-02
## stat42   -1.001407e-01 -1.328619e-01 -0.0066631601 -0.090571013 -0.1263924380 -3.794617e-02  0.0327940886 -6.481277e-02
## stat43    9.589394e-03  3.757549e-02 -0.0243790643 -0.046573891  0.0659306243 -3.926880e-02  0.0213479841 -2.733601e-02
## stat44   -1.363577e-01 -3.273611e-02 -0.0126678461  0.036068216 -0.0094148903 -1.497381e-01 -0.0889893203  1.712398e-02
## stat45    7.969439e-02  4.046791e-02 -0.0790495976 -0.035668736  0.1200745642 -6.749705e-02 -0.0416966379  6.524049e-02
## stat46    6.380871e-02  3.498628e-02  0.0129701695  0.101574127  0.0149606083  8.008591e-02  0.0699565135 -3.923602e-02
## stat47    2.148015e-02  4.987644e-03 -0.0159833608 -0.017219819 -0.0040986785  1.080089e-01 -0.1099312909  1.568587e-01
## stat48    7.700171e-02  2.614994e-02  0.1069658373  0.041238788 -0.0012044746 -2.980765e-02  0.0335052072  4.485626e-02
## stat49   -9.025319e-02 -3.438408e-02  0.0274363811  0.106887348  0.0665781446 -5.592712e-02 -0.0091238240  5.231102e-04
## stat50   -3.872151e-02 -5.192305e-04 -0.0135751923  0.012889915 -0.0179399696 -2.044416e-02  0.0402466161  2.891547e-02
## stat51    8.150678e-02  4.280682e-02  0.0174436246 -0.010768708  0.0078706828  4.301794e-02  0.0397213496 -1.423125e-02
## stat52   -6.416191e-02  2.655164e-03  0.0253106860 -0.012608536  0.0170937070  2.564374e-02  0.0290398997 -9.701796e-03
## stat53    1.108079e-01  5.162528e-02 -0.1250940273  0.022494460  0.0582598800  6.424235e-03  0.0735208745 -1.776479e-02
## stat54   -2.982555e-02 -1.431956e-02  0.1292733138 -0.058772814  0.0005345047 -7.208299e-02  0.0006759636 -7.216037e-02
## stat55   -7.063095e-02  7.712450e-02 -0.1507533609  0.036540881  0.0108686304  5.658498e-03  0.0744337067  1.290991e-02
## stat56   -1.100574e-02  1.306241e-01  0.0564491755  0.063761764  0.1684133600 -5.910688e-02  0.0682153691 -4.065657e-02
## stat57   -1.144702e-01 -3.162102e-02  0.0560577800 -0.024514286 -0.0371557336  5.434758e-03 -0.1608194323  6.705827e-03
## stat58    3.641067e-02 -7.524011e-02 -0.0861730346 -0.084521600 -0.0080094249 -3.154603e-02 -0.0512699650  5.061953e-02
## stat59    1.187945e-01 -6.988047e-02  0.0836314874 -0.049036425  0.0833943975 -4.928832e-02 -0.0418727273  1.347864e-02
## stat60   -3.107753e-02 -5.638144e-02 -0.0030645714 -0.045126573  0.0204074571 -1.251446e-02 -0.0425161437  1.023731e-01
## stat61    2.599844e-02  3.601437e-02  0.0608409988 -0.060906704 -0.0240778389  7.545329e-02 -0.1352005048 -9.890899e-02
## stat62    5.073840e-02 -7.713175e-02 -0.0007282206 -0.027152786  0.0323377612 -4.565519e-02 -0.1586061184 -1.071750e-01
## stat63   -8.294018e-03  2.617485e-02  0.0756048227  0.022158369 -0.0182266689 -6.306957e-02 -0.0701708843  4.869740e-03
## stat64   -9.963962e-03  5.024888e-02 -0.0138369812 -0.140878176 -0.1382619296 -6.502102e-02 -0.0468755572  1.130232e-01
## stat65    2.581511e-02  6.201612e-02  0.0805325735 -0.099757751 -0.0227919251 -5.684291e-02 -0.0028260251 -1.070523e-02
## stat66   -6.182219e-02  1.353549e-02  0.0219490450  0.071003910  0.1612206976  8.967089e-02 -0.0606347423  6.658949e-02
## stat67    1.299530e-01  7.324945e-02 -0.0691573432  0.098625369 -0.0781805481  1.090430e-02  0.0490042457 -4.819995e-02
## stat68    5.246677e-02 -6.486303e-02 -0.0479843353 -0.164520919  0.0615124777  5.688484e-02  0.0005087634  6.771146e-02
## stat69    1.246680e-02  9.285660e-02  0.0078666675  0.059602096 -0.0818518163  5.519867e-02  0.0177558859  1.374963e-01
## stat70   -2.645166e-02  4.703836e-02  0.0333090475  0.044939906  0.0508629937  1.485388e-01  0.0681385862  1.350474e-02
## stat71   -2.507203e-02  9.826012e-02  0.0907716691  0.033960654  0.0965759665  7.149166e-02  0.0779386413  9.113877e-02
## stat72   -7.092469e-03 -6.180551e-02  0.0576078435  0.038150493 -0.0342950909  1.338198e-02  0.0921321541  1.027106e-01
## stat73    1.053658e-01  5.496762e-02  0.0237417895 -0.060968846 -0.0214858679  5.265597e-02  0.1063417029 -3.355913e-02
## stat74   -2.149643e-02 -1.153292e-01 -0.0294588983  0.076042884 -0.0751563020  9.745200e-03 -0.0403389397 -5.386113e-02
## stat75    6.659032e-02  4.005028e-02  0.0289490356  0.020096345  0.0028278642 -1.121908e-01  0.0053773234 -5.930208e-02
## stat76    1.923185e-02 -2.332671e-02 -0.0568925387  0.081940418 -0.1676687996 -6.740276e-02  0.0608010145  3.512534e-02
## stat77    1.157296e-01  3.345957e-02  0.0999784531 -0.067353700  0.0040781594 -2.139694e-02  0.0102066015  1.893670e-02
## stat78    8.439969e-02  1.131788e-02  0.0001226681 -0.063717162 -0.0803675051 -1.702733e-02 -0.0133300512 -6.314105e-02
## stat79    3.535164e-02  1.292967e-01  0.0030465028  0.094102725  0.0453719673  2.387763e-02  0.0339370556  7.850750e-02
## stat80    1.228078e-01 -4.451843e-02  0.0349223264 -0.072350746  0.0748191407 -2.759529e-02 -0.0425501335  4.417537e-02
## stat81   -6.738620e-02 -4.526313e-02 -0.0273225102  0.079445670  0.0578403960 -1.099567e-01  0.0640145760  7.369679e-03
## stat82    2.085971e-02  2.170487e-02 -0.0122385213 -0.107228437  0.0837200141 -1.663814e-02  0.0025444729  7.788557e-03
## stat83   -4.698560e-02 -1.575543e-01 -0.0690759327  0.061121247  0.0975103605 -9.829201e-02  0.0432561296  3.133158e-02
## stat84    2.602983e-03 -3.643492e-02  0.0115130479  0.119824561  0.0893656401 -9.197936e-03  0.0898269697 -7.542788e-05
## stat85    7.546167e-02 -1.218016e-01 -0.0367305061  0.015574398  0.0224178020 -3.801819e-02 -0.0037801617  2.662566e-02
## stat86   -3.204861e-02  6.270697e-02 -0.0622013926 -0.040421762 -0.0458592621 -5.261897e-02  0.0096905048 -6.132029e-02
## stat87    4.709303e-02  7.629720e-02  0.0697085384  0.076852769 -0.1091645037  2.022140e-02 -0.0835287793  6.509088e-02
## stat88   -6.870881e-02  7.722043e-02  0.0302855569 -0.101614442 -0.0219087500  7.156881e-02 -0.1881366787  4.288920e-02
## stat89   -6.578199e-02  3.604221e-02  0.0631268188  0.031873204 -0.0432842014  4.740154e-02 -0.1081586055  9.073158e-02
## stat90    2.863808e-02 -1.219444e-01  0.1009654051 -0.095209283  0.0760844482 -2.647030e-03 -0.0029907655 -1.005910e-01
## stat91    5.734800e-02 -3.878362e-02 -0.0707871254  0.019727234 -0.0039219944  1.199074e-01 -0.0029728094 -1.453727e-04
## stat92   -9.465023e-02 -3.581692e-02 -0.0710656192 -0.049480041  0.0312040636 -3.960267e-03 -0.0509211641 -5.026813e-02
## stat93    1.480658e-02 -4.484917e-02 -0.0785075426 -0.010881261 -0.0761514905 -2.401341e-02 -0.0174982233  1.274563e-01
## stat94    1.299001e-01 -9.041271e-02  0.0828750881 -0.126973178  0.0395848683  1.474023e-02  0.0114308527  1.572628e-01
## stat95   -4.427236e-02 -3.204022e-03  0.0444590186  0.090058811  0.0396407930 -2.036799e-02 -0.0092865983 -1.090321e-01
## stat96   -3.529889e-02  5.826156e-02  0.0678024750  0.002352607  0.0157414847 -6.846497e-02  0.0249134225 -2.915937e-02
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## stat99    6.530140e-02  9.472760e-02  0.0190122030 -0.076197629 -0.0616048525  1.505754e-01 -0.0244501846  7.350928e-02
## stat100   5.309180e-02  1.588465e-01  0.0268253649 -0.104346756 -0.0283266636 -8.383647e-02  0.0333467408 -1.626723e-01
## stat101   6.636788e-02  4.316533e-02  0.0095555596 -0.010683872 -0.0219325325  2.406160e-02  0.0193718806 -2.681462e-02
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##                  PC213         PC214         PC215         PC216         PC217         PC218        PC219         PC220
## x1       -0.0055683288 -1.234768e-02  0.1763553250 -0.0019749924 -0.0200493393 -0.0006117035  0.021501166 -0.1041591700
## x2        0.0279676384 -2.001054e-04 -0.0448360802 -0.0875918952  0.0380410958 -0.0320499824  0.069663892  0.0547052545
## x3       -0.0533179840  5.253128e-02 -0.1143193277  0.0435482412  0.0013326349 -0.0177938056 -0.070802094  0.0070345447
## x4       -0.0022554869 -2.538352e-02 -0.0633328353  0.0500895733  0.0007188778 -0.0058690985 -0.129248425 -0.0354083690
## x5       -0.0158914916  7.971794e-02 -0.0424612767 -0.0278449132 -0.0897170579  0.0414621201  0.015340746  0.0337447688
## x6       -0.0296707072  1.007418e-01  0.0084425325  0.0147438403 -0.0373659095 -0.0407168370 -0.086716929  0.1178406304
## x7       -0.0048931731  6.064480e-02 -0.0307102156 -0.0214291008 -0.0674761158  0.0525701332  0.134662605 -0.0509689051
## x8        0.0022121136  1.942067e-02  0.0168229161  0.1699264221  0.1194855194  0.0512486804 -0.035341310  0.0703332008
## x9       -0.0200646181 -1.199674e-01 -0.0036887954 -0.0834286420  0.0491029964  0.0239185986  0.099085252  0.0567412952
## x10       0.0947682162  5.241652e-02 -0.0396403786 -0.0312989502 -0.0064694347 -0.0498376576 -0.053090292  0.0356121767
## x11       0.0712951006 -5.223984e-02  0.0016334186  0.1083911133  0.0915990406 -0.0847715472 -0.007265448  0.0004353883
## x12      -0.0647118758 -5.871102e-02  0.0973705002 -0.0252184578 -0.0833170421 -0.0835933127  0.118454217 -0.0011955693
## x13      -0.0012272832 -1.853278e-02 -0.0378211409  0.0619361798  0.0840542959  0.0146211497  0.039466858  0.0409705185
## x14      -0.0120055328  3.574215e-02  0.1108212244 -0.0355633085 -0.0393481892 -0.0965574402 -0.113054983 -0.0155865045
## x15      -0.1233476283  4.176356e-02 -0.0360920518  0.0799122061 -0.0635313516 -0.0227247081  0.001290413  0.0289624932
## x16       0.1158861795 -4.618927e-02 -0.0743870379  0.1078352618 -0.0184586919 -0.0447643903  0.056567318 -0.0675531111
## x17      -0.0522072920  5.538866e-02  0.0491112585  0.0483487328  0.0666765106 -0.0515730709 -0.008614286  0.0939828928
## x19      -0.0515729600 -3.914616e-02  0.1638923588  0.0035243369 -0.0211070378 -0.1046516009 -0.062414722  0.0354206930
## x20       0.0307370892 -1.970683e-05  0.1067653930  0.0680564332 -0.0400227718  0.0238749895  0.033918868 -0.0218448002
## x21       0.0063822700  6.106539e-03  0.0214692705  0.0090457708 -0.0475284503 -0.0096404598 -0.063379986  0.0166644669
## x22       0.0366689741 -1.715942e-02  0.0585853074  0.1161094976  0.0655904359  0.1001138207  0.013289309 -0.0167716914
## x23       0.0093238633 -8.623534e-02  0.0200616809 -0.1457393042 -0.0791994006  0.0202673701 -0.071252439  0.0165123112
## stat1    -0.0359989564 -3.867093e-02  0.0076593693 -0.0255519513  0.0748240468 -0.0503546277 -0.046693322 -0.0005308863
## stat2    -0.0186739899  7.503295e-03  0.0109182321  0.1137096320  0.1308630239 -0.0523680170 -0.074976886  0.0385816186
## stat3    -0.0016707351  1.160150e-02 -0.0234664626  0.0268549642 -0.1677435393 -0.1530996157  0.018795251  0.0725125225
## stat4     0.0913862822  8.112642e-03  0.0232855057  0.0720893075 -0.1012727138  0.1120389188 -0.024922602 -0.1023234836
## stat5     0.0713245410  1.257148e-01  0.0726486417  0.0597364049  0.1050188217  0.1622008758 -0.132546568  0.0915573843
## stat6     0.0688086465  6.193685e-02  0.0560451533 -0.1061756613 -0.0948372543 -0.0952500207 -0.098103293  0.1035753139
## stat7    -0.0301790777  6.334989e-02 -0.0116110460 -0.0352695538  0.0281966285  0.0839547485  0.042112336  0.0550311220
## stat8    -0.0887221448 -1.300383e-02 -0.0156388563  0.0322706106 -0.1593353592 -0.0247892448  0.033955117  0.0433695480
## stat9     0.0218780612 -8.347771e-02 -0.0933191851  0.0767560242  0.0342654487  0.0039500054  0.157894065 -0.0175352855
## stat10    0.0192665984 -6.879673e-03  0.0045232120  0.0685913985  0.0210144481  0.0871688224  0.038287576  0.0961986258
## stat11    0.0814952655  9.305125e-02 -0.0098297152 -0.1115012893  0.1887652392  0.0660283813 -0.032613798  0.0896265365
## stat12    0.0621772996 -6.869624e-02 -0.0488766594  0.0420357857 -0.0358659768  0.0725280882 -0.030770382 -0.0199517573
## stat13    0.0272847290  3.559635e-02 -0.0173524471  0.0271702174 -0.1344933754 -0.0343232100 -0.068668069  0.0079677129
## stat14    0.0027930108 -1.184986e-03  0.0089940843 -0.0093605059 -0.0602618193 -0.0321325945 -0.086590908  0.0592830486
## stat15    0.0645737604 -6.813324e-02 -0.0354248504  0.0215794144 -0.0891065704  0.1075859203  0.055047306  0.0424990756
## stat16    0.1402005196  1.433347e-01  0.1192469236  0.0057323618  0.0968156597  0.0864378372  0.046376740  0.0220107064
## stat17    0.0408170582  1.256320e-01  0.0941850492  0.0949555564  0.0928916631  0.0471860008  0.084146638  0.0943009000
## stat18    0.0168996267 -2.980026e-02 -0.0005078498 -0.0360931044 -0.0071839755  0.0064593316 -0.011997546 -0.0582964759
## stat19    0.0070336256  6.399679e-02 -0.0382623584  0.0368152588  0.0449775132  0.0262013672 -0.087393261 -0.0351463680
## stat20    0.0351977856  1.952481e-02 -0.0669870323 -0.0331313879 -0.0414605674  0.1405715690 -0.075573815  0.0081334605
## stat21    0.0761116786 -7.225013e-02  0.0694956230 -0.0704081538  0.0663284814  0.0539046204  0.006280743 -0.0737929026
## stat22    0.0045925739  4.148464e-02  0.0087760701 -0.0657265468 -0.0759652644  0.1058552713  0.012027280  0.0992094977
## stat23    0.0507952675  1.747250e-02 -0.0460314071 -0.0825207083 -0.0184950287  0.0975089263  0.056790434 -0.1376669610
## stat24   -0.0745414820  2.231948e-02 -0.0806767748  0.0645081224 -0.1535501120  0.0105361145  0.032910393 -0.0544727334
## stat25   -0.0901441534 -1.693278e-02  0.0248425573  0.0436286189  0.0236763687 -0.0077398217  0.055001943  0.0809486637
## stat26    0.0290939215 -4.844834e-02  0.0802361339  0.0644734040 -0.1174944135  0.0728414337 -0.040836443  0.0266954865
## stat27   -0.0879674975 -5.887246e-03 -0.0845686223 -0.0148942921  0.0114761566  0.0047524151 -0.037214959 -0.0120937429
## stat28    0.0492731799 -6.296886e-02 -0.0484884414 -0.0073981871  0.0334407579 -0.0959784671 -0.025378583 -0.0188847490
## stat29   -0.0058272395 -4.244561e-02  0.0053578500  0.0898448765  0.0881841024 -0.0212544686 -0.105508061  0.0072197632
## stat30   -0.0756035816 -9.361330e-02  0.1109738048  0.0532696949  0.0331589183  0.1454871276 -0.063814916 -0.0042675935
## stat31    0.1353329433  1.816797e-02  0.0118320682 -0.0696156117 -0.0076269863 -0.1369618477  0.085177728 -0.0198272261
## stat32   -0.0487226346  1.723171e-01 -0.1149989772 -0.1255988202 -0.0249229097  0.0754627833  0.014917585  0.0820935346
## stat33   -0.0523243947 -1.231561e-01  0.0156883346  0.0240395888 -0.0495297226  0.0094256511  0.083290723  0.0660501435
## stat34    0.0285453622  2.993825e-02 -0.0006392582 -0.0412393634 -0.0228249476  0.0741564764  0.018785634 -0.0028727886
## stat35    0.0877202947 -6.883474e-02 -0.0078744376  0.0634934742  0.0451635984  0.0065993703  0.035132504 -0.0375904722
## stat36    0.0106400316  4.462751e-02  0.0557448192  0.0640471329 -0.0783019463 -0.0160867280  0.066850279 -0.1140751457
## stat37    0.0804449616 -2.137724e-02 -0.0080581676  0.0549051026 -0.0493475772 -0.0227700389  0.027923388 -0.0032507841
## stat38    0.0274047655  2.677789e-02 -0.0767429711  0.0333600797  0.0768572227 -0.0186372689  0.014046540 -0.0747690322
## stat39    0.0317302518 -4.893928e-02  0.0554324623 -0.0974030897  0.0445182699  0.0412376196  0.020697887 -0.0033347051
## stat40    0.0528672813 -3.129546e-02 -0.0093309770  0.0733227335 -0.0357877024  0.0018496688 -0.001690113 -0.0634008962
## stat41    0.0247790823 -3.812596e-02  0.0309203984 -0.0812953287 -0.0122956435 -0.0703591700 -0.153583154 -0.1629618023
## stat42    0.0048807983 -7.609822e-02 -0.0481462744  0.0336898196 -0.0062300736  0.0769506353  0.076140576  0.0132737399
## stat43   -0.0648393969  4.115712e-02 -0.0966709319  0.0277072016  0.0241304023  0.0170732907 -0.020288926  0.0088213648
## stat44    0.0716214787  6.920487e-02 -0.0694506336 -0.0034363819 -0.0161073607 -0.0057167177 -0.068927054 -0.0273731330
## stat45   -0.0568744210 -6.111364e-02  0.0422079010 -0.0399367894 -0.0452802917 -0.0912856604  0.001370393  0.0249317255
## stat46    0.0242726255  4.862764e-02  0.0875139464  0.0356586384 -0.1196335256  0.0018480375  0.030204039 -0.0962024989
## stat47    0.1476882138 -5.391228e-02  0.0882701183  0.0245337175 -0.0126709092  0.0323144137  0.053468871  0.0525701950
## stat48   -0.0525082797 -9.672637e-03 -0.0201980838  0.0381158063 -0.0095162313 -0.0263723340  0.054262026 -0.1239349611
## stat49   -0.0429503942  4.076642e-02 -0.0322007356  0.0808228616  0.0146489232  0.0541860443  0.056148872  0.0193690338
## stat50    0.0374908266  1.046980e-01  0.0643312975 -0.0088968702  0.0615735514 -0.0305028964 -0.037911799 -0.0634942610
## stat51    0.0352983029 -2.304507e-02 -0.1222479802 -0.0325639467 -0.0547277928  0.0505804903 -0.065765738  0.0318626313
## stat52   -0.0613486974  1.200612e-01  0.0916549009 -0.0644170430  0.0919358088  0.0283997619  0.016606174 -0.0402866206
## stat53   -0.1136388673  2.857514e-02  0.0633954315 -0.0604688397  0.0186839440 -0.0198288853 -0.085702075  0.0397949843
## stat54    0.0190624502 -3.176438e-02  0.0786720403 -0.0107423445 -0.1302676523  0.0348125369 -0.067821734  0.0582839811
## stat55   -0.0053866550  1.841505e-02  0.0701839325 -0.0856423098 -0.1607041017 -0.0328470051 -0.094834996 -0.0413026984
## stat56    0.0057954776  7.830296e-02  0.0614497626  0.0019162198  0.0639890930 -0.0463221551 -0.017497513  0.0165090491
## stat57   -0.0077615468  1.240551e-02  0.0284401884 -0.0858501367  0.0539723898  0.0181891932 -0.006609246 -0.0409498016
## stat58    0.0090456251  5.288974e-02 -0.0114891481 -0.0240161554  0.0394394481  0.0208023116 -0.015228180 -0.1662233765
## stat59   -0.0585597864  1.375254e-01  0.0063152992 -0.0111790753 -0.0065346419 -0.0025686553  0.137726824 -0.0209863233
## stat60   -0.0022553324  5.046704e-02  0.0323843324 -0.0694652336 -0.0296129055 -0.0965548483  0.072736854 -0.0328381770
## stat61   -0.0352879098  1.275600e-02  0.0073996367 -0.1058654423 -0.0046143626 -0.0001569233  0.029567149  0.0002430826
## stat62   -0.0422156786 -1.981952e-02  0.0505538825  0.0225530068  0.0153871724 -0.0913867434  0.057881626  0.0862792940
## stat63    0.0694256461  6.517587e-03 -0.0822950053  0.0984501533  0.0145670604 -0.0391498191 -0.057095234 -0.0555605015
## stat64    0.0593196278  2.597081e-02 -0.0397271216 -0.0848662840  0.0142553325  0.0440018185  0.047989164  0.0126012384
## stat65   -0.0979826846 -3.837017e-02  0.0001237902  0.0595273390  0.0834701515 -0.0496588176  0.046013760  0.0881511259
## stat66   -0.0706588426  1.163757e-02 -0.0522207587  0.0082934072 -0.0021942402 -0.0435222483 -0.002881417  0.0166326897
## stat67   -0.0318474163  1.732131e-02 -0.0641443882  0.0730655447  0.0360903316 -0.0240432680 -0.005430675 -0.0740348414
## stat68   -0.0342089039 -5.845953e-02 -0.0299934700  0.0564374170 -0.0657850983 -0.1093241433  0.017179750  0.0002699029
## stat69   -0.1131781348 -7.141994e-02 -0.0638287478  0.0344671558 -0.0601579270 -0.0358881960  0.040475122  0.0770762728
## stat70   -0.0571997836 -1.102389e-02  0.0507381087 -0.0043122218  0.0820161451 -0.0161762474  0.009408628 -0.1265431670
## stat71   -0.0354447080  1.206904e-02 -0.0375858219  0.1140199985  0.0202663679 -0.1089724130 -0.009050264  0.1881311733
## stat72   -0.0317963809  1.384193e-02  0.1001740384  0.0464285555  0.0394101112 -0.0635224301  0.132838476  0.0419851044
## stat73   -0.0382198514 -2.724237e-02  0.0222180725  0.0044297115 -0.0057946346  0.0876755819 -0.188231345  0.0186903343
## stat74   -0.0673115661 -1.789735e-02 -0.0409074047 -0.0949849991 -0.0673610607 -0.0396199922  0.070989301 -0.0763884998
## stat75    0.0537470904 -1.094596e-01  0.0771575368  0.0178327515 -0.0444134361 -0.0363862952  0.009809128  0.0123022598
## stat76   -0.0085955460 -2.587605e-02 -0.0750305866  0.0678852168 -0.0383324208 -0.0959913524 -0.006569766  0.0910351668
## stat77    0.0745431486  7.647105e-02  0.0275599800 -0.1208176662  0.0687988667 -0.0174680961 -0.062797095 -0.0287875306
## stat78   -0.0135396059 -1.201372e-01  0.0507530109 -0.0629685841  0.0077009008  0.0547827697  0.126748623 -0.0161208087
## stat79   -0.0619910649 -5.420057e-02  0.0211186821 -0.0601220581 -0.0509232611 -0.0081888476 -0.099027957 -0.1223629255
## stat80    0.0758668790  1.101071e-01 -0.0495036332  0.0203865200  0.0511362115 -0.1067177435  0.074569745  0.1473598121
## stat81    0.0898337748 -4.359494e-02  0.0265326449 -0.0544678603 -0.0113093971  0.0919792866 -0.062889081  0.0751823540
## stat82   -0.0750416589  3.339974e-02  0.0483335088 -0.0981124799 -0.0104009105  0.1129341363  0.045406880  0.0369637514
## stat83    0.0105850354 -2.511325e-02 -0.1244353056 -0.0390068719  0.0562437139 -0.0060391768  0.080574299  0.1356748943
## stat84    0.0628558881 -7.469613e-02 -0.0946326522  0.0136737399 -0.0425791978  0.1186358607 -0.120505128 -0.0011675120
## stat85   -0.0578091345  5.607329e-02  0.1322677269  0.0629667173 -0.0246620428  0.1557574770  0.113926703 -0.0475100973
## stat86    0.0849399975  7.265766e-02  0.1180367681 -0.0118043761  0.0304275283 -0.0320118904 -0.029266335 -0.0891087039
## stat87   -0.0528859657  8.287641e-02 -0.0246242095 -0.0366048910 -0.1386757164  0.0963588935  0.007926009  0.0340016400
## stat88    0.0312569345 -7.844262e-02 -0.1243046457 -0.0627090214  0.1116647723 -0.0521608079 -0.022725998 -0.0373294212
## stat89   -0.0415750376 -1.876931e-02  0.0191811025 -0.0017864609 -0.0278613684 -0.1172035337 -0.052605939  0.0653754132
## stat90    0.0882232978 -1.003161e-02  0.0575298982  0.0032690562  0.0242269308 -0.0980131545 -0.041622844 -0.0390116340
## stat91   -0.0285854234 -1.412217e-02 -0.0415118259  0.0176210354  0.1139309752  0.0821330649  0.158168235 -0.0483168480
## stat92   -0.1188829335  4.821465e-02  0.0018798384 -0.0171610414 -0.0401863700  0.0089879617 -0.052647129 -0.0295993520
## stat93   -0.1554735355 -8.404463e-02  0.0029704130 -0.0817746516 -0.0390628609  0.0017809952 -0.069708009  0.0316798988
## stat94   -0.0711051562 -7.175365e-02 -0.0372427043  0.0583200357  0.0350530805  0.0877485043 -0.049729467  0.0080927044
## stat95    0.0347758687 -1.382739e-01  0.0318712923 -0.0669977906  0.0865977937  0.0286010554  0.026497437  0.1203125418
## stat96    0.0790262743 -9.889338e-04  0.0731422169 -0.0175010010 -0.0695135506 -0.0155252241  0.007735108  0.0255040166
## stat97    0.0610354133  1.231443e-01  0.0070487086  0.0169668486  0.0853907894 -0.0876327182  0.097613180 -0.0383663797
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## stat99    0.0544025476  3.500076e-02 -0.0010866073  0.0268160742  0.0514993030  0.0656922275 -0.012391240 -0.0052073751
## stat100  -0.0217321571  3.065056e-02  0.0599299108  0.0611385321 -0.0675534909  0.0164465471 -0.006881783  0.0301731563
## stat101  -0.0053755427  4.070731e-02 -0.1125506750 -0.0192321237  0.0862787848  0.0640478670 -0.117823348 -0.0794260936
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## stat103   0.0215104442 -1.347710e-02 -0.0417942814  0.0239424076  0.0251313160  0.0155600410  0.009813114 -0.0414453917
## stat104   0.0825436047 -7.615123e-03  0.0698000552 -0.0431711388  0.0799615804 -0.0961341309  0.023073070 -0.0569886051
## stat105   0.0278160215  8.875021e-02  0.0258487123 -0.0396252654  0.0210605836  0.0434748042 -0.108934749  0.0553710309
## stat106   0.0088412597  6.794423e-03 -0.1010933428  0.0186528495 -0.0454991558 -0.0466115513  0.051559150 -0.1016965934
## stat107  -0.0413036152 -9.956475e-02  0.1573968019  0.0860232307  0.0161423484  0.0343331434 -0.040708284 -0.0377372676
## stat108  -0.0677101247  5.100346e-02 -0.0753599226 -0.0274333076  0.0569230133  0.0965509666 -0.006141923 -0.0005054984
## stat109   0.0553327051  4.000738e-02 -0.1116481975  0.0872397830  0.0065449616 -0.1029012208 -0.056773319  0.0648200869
## stat110   0.0389384928  8.328444e-03 -0.0877352495  0.0416661796  0.0171934625  0.0466071543  0.156515787  0.0550883145
## stat111   0.0470648847  1.271902e-02  0.0180948810  0.0093747827 -0.0139902758 -0.0689282054 -0.037284818  0.0028131517
## stat112   0.0227534176 -1.086751e-01 -0.0450161435 -0.0058791017 -0.1200136656 -0.0157827232  0.096005457 -0.0108717344
## stat113  -0.1610603956 -2.861213e-02  0.1538966423  0.0692638401 -0.0541385811  0.0945469726  0.044155121  0.0759411255
## stat114  -0.1468503639  1.044808e-01 -0.0970475186 -0.0683646470 -0.0510577766  0.0458721773 -0.026399674  0.0117309108
## stat115   0.1057976030  9.887645e-03  0.0099307042  0.0558918786 -0.0600456705  0.0403262140 -0.033356461  0.0738100223
## stat116  -0.0498169691  1.139901e-02  0.0747822268 -0.0850005110  0.0654813673  0.0666279357  0.030330141 -0.0590212183
## stat117   0.0503194251 -7.476976e-02 -0.0568790027  0.0061933329 -0.0591493961  0.0323871299 -0.149192243 -0.0337171718
## stat118   0.0215435601 -5.193421e-02  0.0756742367 -0.0491756122  0.0163010846  0.0789465621 -0.106405788  0.0001429411
## stat119   0.1565130831  6.186086e-02  0.0500220809 -0.1585808407 -0.0593052643 -0.0683073430  0.021249481  0.0067503280
## stat120  -0.0389575795 -5.122465e-02 -0.0787734018  0.0028021925  0.0980741998  0.0171623192 -0.066739909  0.0556179517
## stat121   0.0350915074  4.549994e-02  0.0687074861  0.0328784299 -0.1215089771  0.0284582326  0.018360146  0.0786789397
## stat122   0.0912687767 -5.898612e-02 -0.0029259854 -0.0085269374 -0.0793374829  0.0996917082  0.002664112  0.0265004593
## stat123   0.0028454975  3.775524e-02 -0.0004090092 -0.0192464894  0.0088834404 -0.0838462829 -0.019925474 -0.0053784155
## stat124   0.0913292561  6.345618e-02 -0.0519845276  0.2036160844 -0.0530804188  0.0719811528  0.009384156 -0.0751651544
## stat125   0.0809851556  2.360436e-02  0.0493415126  0.0361464069 -0.0300333591  0.0779418621 -0.113804444 -0.0604732141
## stat126  -0.0111565241  4.535211e-02  0.0367374262  0.0570294508  0.0500016470  0.0620344767 -0.068258426  0.0563171808
## stat127   0.0736304417 -3.466803e-02 -0.0258413379  0.0400277189 -0.0305335393 -0.1205511718 -0.052638026 -0.0032415340
## stat128   0.0762294306 -2.141020e-02 -0.0541251722 -0.0170618000 -0.0450046726 -0.0164029618 -0.000112100  0.0088520352
## stat129   0.0049589055  1.175198e-02  0.0073034482 -0.1172650383 -0.0261542996  0.0965211974  0.037681196  0.1182209152
## stat130   0.0653229673 -2.171517e-02  0.0440096545 -0.0005354324 -0.0712544417 -0.0218226098  0.037730842 -0.0700540682
## stat131  -0.0201533992  4.936972e-03  0.1928870346 -0.0637962066  0.0155547237 -0.0529433018  0.057906783  0.0802848745
## stat132   0.0062694711  4.725400e-02 -0.0428017545  0.0599387787 -0.1166095315 -0.0539873438  0.054402746 -0.0407724341
## stat133  -0.0258569259 -1.665246e-01  0.0083596791 -0.0704148702 -0.0594410922  0.0056013392 -0.050568494 -0.0040789306
## stat134   0.0468319472  1.582630e-01 -0.0072315092 -0.0737849607 -0.0087624860 -0.0616352426 -0.026840767 -0.0304370157
## stat135   0.0656308062  2.088384e-02  0.0699053823  0.0017308336 -0.0350298886 -0.0852560304 -0.003461957 -0.0327563654
## stat136   0.0950476658 -9.374984e-02  0.0780537222 -0.0253262039  0.1057683068  0.0603949668  0.004039472  0.0884421978
## stat137   0.0303055412  7.675607e-02  0.0552177613 -0.1121944724  0.0330238032 -0.0511009753 -0.008771313 -0.1055512257
## stat138   0.0341143307  7.693661e-02 -0.1033723806 -0.0029636965 -0.0624429254 -0.0109200094  0.092476673 -0.1032475079
## stat139  -0.0913288342 -3.063049e-02 -0.0655389002  0.0190895453 -0.0095023980  0.0116644902 -0.107864293  0.0210809982
## stat140   0.0088922075  2.020381e-02  0.0510800661  0.0477549859 -0.0173142377 -0.0593052686 -0.019876181  0.0226411707
## stat141  -0.1586373042  9.094900e-02  0.0138684677  0.1127372201  0.0707322508  0.0615505851 -0.036696589 -0.1408673324
## stat142  -0.0382377495  1.130292e-01  0.0564539538 -0.0409549055 -0.0374992850 -0.0925677647 -0.007425942  0.0851520735
## stat143   0.0209812243 -1.835059e-01 -0.0103813821  0.0620313694  0.0872015502  0.0467578941 -0.035572007 -0.0254081102
## stat144   0.0459866810 -7.942350e-02 -0.0034847504 -0.0286344630  0.0221542562 -0.0550045161 -0.008225267  0.0957680353
## stat145   0.0820931231 -8.732861e-02  0.1467675642  0.0802629060 -0.0349463363 -0.0364338750 -0.012598590  0.0993474879
## stat146   0.1575417638  5.485948e-02 -0.0696531716 -0.0884897745 -0.0853036008  0.0106774005  0.035658575  0.0622116385
## stat147  -0.0560043258  2.558402e-02 -0.0452233121 -0.0494025128  0.0356275521 -0.0576728026  0.009133206  0.0734140128
## stat148  -0.0432077431  5.094183e-02  0.0208903749 -0.0249381868  0.0614350734  0.0189987983  0.047367986  0.0107667459
## stat149  -0.0765061308  4.062599e-02  0.0285626456  0.0874825826  0.1009736897 -0.0287533076 -0.004410912  0.0033472590
## stat150  -0.0628475450 -3.508328e-02 -0.0738823477 -0.0319882342  0.0651270722 -0.0364138259 -0.000277930 -0.0066409385
## stat151  -0.0291009531  2.903875e-02  0.0197043346  0.0554642389  0.0417976888  0.0408733922  0.066153603  0.1048563497
## stat152   0.0362650314  6.584838e-02  0.0498974602 -0.0667784578 -0.0306809742  0.0270649361 -0.043800360  0.0819244955
## stat153   0.0151265882  1.452807e-02 -0.0498956354  0.0272636625 -0.0007388329  0.0811844544  0.029375303  0.0460270448
## stat154  -0.0667611616  3.128898e-02  0.0435875870  0.1635313778 -0.0592741494  0.0798117985 -0.012788026 -0.0102788497
## stat155   0.1562300941 -1.778133e-02  0.0341179254 -0.0579652031 -0.0582571372  0.0461155465 -0.049042677 -0.0080468684
## stat156  -0.0018507132 -6.225669e-02  0.0571831261  0.0488043344 -0.0500192961  0.0015471193  0.030055401  0.0968079941
## stat157  -0.1124029390  1.036555e-01 -0.0016062788 -0.0432494759  0.0346808072  0.0044741187 -0.001631008 -0.0784882856
## stat158  -0.0735964676 -1.201841e-02  0.0215663082 -0.1319299105 -0.0274121678  0.0226596169  0.035895206 -0.0395817249
## stat159   0.0763484621  4.839972e-02  0.0725906357  0.0003561271  0.0471312620 -0.0548314072 -0.067792650 -0.1610611815
## stat160   0.0548500412 -2.829140e-03 -0.0819861285 -0.0188412420  0.1174522807 -0.1154403575  0.056664575  0.0274420159
## stat161  -0.0220797359  2.044187e-02  0.0529114107  0.0660936182 -0.0132945372 -0.0515965846  0.030166712 -0.0204528640
## stat162   0.0624283082 -9.870700e-02 -0.0097322820  0.0544573979  0.0100568800 -0.0683972317 -0.004957128 -0.0636523493
## stat163  -0.0588881682 -1.350051e-01 -0.0319837120 -0.0653508928  0.0995060040 -0.1009849195 -0.069995897 -0.0377370134
## stat164   0.0191589124 -4.864112e-02  0.1384024278  0.1401035969  0.0600916707  0.0369492224 -0.144203231 -0.0478369166
## stat165   0.0706134057  8.748736e-03  0.0039056283  0.0456971921  0.0816919257 -0.1685371367 -0.019878095 -0.0771205482
## stat166  -0.0265411499 -5.931663e-02 -0.0303862309 -0.0560240363  0.0392791443  0.0455720565 -0.084446507  0.1418701872
## stat167   0.1139091268 -7.978585e-02  0.0014416466 -0.1062756509 -0.0096824496  0.0059691425 -0.043765306 -0.0097735305
## stat168  -0.0542339843  8.840734e-02  0.0043717052  0.0031013503 -0.0230770489 -0.0811385066 -0.112597669  0.0681962228
## stat169   0.0093065190  5.110853e-02  0.0309289793  0.0933346018  0.0632606449 -0.1218504223 -0.088452611 -0.0268988025
## stat170  -0.0477819092  4.302554e-03 -0.0031961739 -0.0330351838 -0.0402681493 -0.0868432164 -0.087685293 -0.0856467015
## stat171  -0.0710863500 -2.978300e-02 -0.0920491338  0.0326326986 -0.1344151002 -0.0350824115 -0.013941951  0.0496522606
## stat172  -0.0285067565 -4.367784e-02  0.0237464723 -0.1074957547  0.0178562310  0.0298423564  0.025621115  0.0068517890
## stat173  -0.1017522555 -1.662314e-02 -0.0725344433 -0.1023658717 -0.0829770888  0.0004845383 -0.129221146  0.0457080522
## stat174  -0.0013080747  5.577282e-02  0.0261941347  0.0842056488 -0.0939218357 -0.0206049543  0.017891256  0.0979855569
## stat175  -0.0558980541  6.713215e-02 -0.0200230196  0.0320475379  0.0093023923  0.0027541175 -0.058443995  0.0909023213
## stat176  -0.0027185726  5.321503e-02  0.0023931173 -0.0215859541  0.0992137575 -0.0739980159 -0.082651103  0.0386240605
## stat177  -0.0229204479 -7.420382e-02 -0.1027751789 -0.0812748600 -0.0347207277 -0.0245311601  0.012931020 -0.0337134329
## stat178   0.0659806975  2.339927e-02 -0.1068398997 -0.0957567090 -0.0032014447  0.0052601502  0.124092530 -0.0039156725
## stat179   0.0811549189  2.272741e-02 -0.0585077213 -0.0110918546 -0.0357346836 -0.0109820966 -0.033437943  0.1249641546
## stat180  -0.0277899515 -7.630279e-03  0.0665941079  0.0009471930  0.0635748394 -0.1042411609 -0.029402468  0.1060029764
## stat181  -0.0173909477 -1.658954e-02  0.0355914377  0.0215825124 -0.0479685217  0.0024845730 -0.113147797  0.0153283492
## stat182  -0.0158436584  1.095108e-01  0.0846510627 -0.0568997786 -0.0087386662 -0.0304313229  0.023138022  0.0449495335
## stat183   0.1014816049  4.173289e-02  0.0443955070 -0.0809992296 -0.1170772299  0.0670772133  0.036692317  0.0254862677
## stat184  -0.0173349449  1.787476e-02  0.0528416382  0.0691999130 -0.0347195101 -0.0634360965  0.026128878 -0.0270597633
## stat185   0.0804897182  2.831001e-02  0.0188945067  0.0159569125  0.0334372281  0.0637897140 -0.040803407  0.1290222533
## stat186  -0.0255464883 -1.999730e-01 -0.0146131212  0.0240497295 -0.0552535766 -0.0463273329  0.091868650  0.0331183240
## stat187   0.0126995783  5.099232e-02 -0.0183977711  0.0822858637 -0.0050746395  0.0676381931  0.011155075 -0.0496875585
## stat188   0.0036820770 -4.204723e-02  0.0254835269 -0.0511253446  0.0474687604  0.0606277891 -0.056057909 -0.0471702588
## stat189  -0.0401836196  3.741676e-02  0.0653826670 -0.0043950811 -0.0361953126 -0.0253040466  0.068300853  0.0441731951
## stat190  -0.0015720712 -2.526669e-02 -0.0170446288  0.0115602075 -0.0136039279  0.0125733271 -0.079366218  0.0064422677
## stat191   0.0126868863 -7.067825e-02 -0.0146758586  0.0312862074 -0.1076445281  0.0448825416  0.048493641 -0.0426478597
## stat192  -0.0069389985  3.330160e-02  0.0501426006  0.0007626109 -0.0748475699 -0.0782738757 -0.012338127 -0.0672707795
## stat193  -0.0196749072 -8.272262e-02 -0.0537570559  0.0506948170  0.1260239317 -0.0652313351  0.054797783 -0.0238622400
## stat194  -0.0569042193  4.220357e-02  0.0534260795  0.0217572337  0.0414869772  0.0824024657  0.009465369 -0.0273092515
## stat195   0.1526336980 -1.115287e-01  0.0117833981 -0.0823911709  0.0405149083  0.0467031840 -0.092637161  0.0443484487
## stat196  -0.0090163794  4.267491e-02 -0.1662737726  0.0497071162 -0.0012119566 -0.0538348805 -0.022645683  0.0688044894
## stat197   0.0003081008 -5.781435e-02 -0.0243094770 -0.0428224632  0.0906610755 -0.1306604113 -0.060283128  0.0395857151
## stat198   0.0051922069 -1.825577e-02 -0.0750239821 -0.1421823640  0.1205665472  0.0372358520  0.007922548  0.1265393935
## stat199  -0.0890962160 -8.197853e-02  0.1813845352 -0.0787015094 -0.0429852149 -0.0474475591  0.032866219  0.0162143618
## stat200  -0.1132779013 -6.687014e-02  0.0371946893 -0.0116196124 -0.0003372638  0.0100921860 -0.022645012 -0.0216439856
## stat201  -0.0038331518  1.174257e-01 -0.1302397857  0.0423092886 -0.0693981460  0.0307183215  0.006764690 -0.0797654949
## stat202  -0.0295317166  2.613172e-02  0.0508835944 -0.0623781937  0.0041463923 -0.1327830774  0.068955477  0.0329121353
## stat203   0.0266399717  8.904627e-03  0.0289102464  0.0011148708 -0.0502576760 -0.0696821864  0.026065760  0.1072695250
## stat204  -0.0426002409  6.961876e-02 -0.0076796150 -0.0288006310 -0.0199148279 -0.0364709764 -0.040660884  0.0029756702
## stat205  -0.0781327918  8.396674e-03  0.0540346335 -0.0034821433  0.0628961479 -0.0754705997  0.049292178 -0.0384349334
## stat206  -0.0448375318 -1.551431e-01  0.0300620937  0.0920115215  0.0022063255 -0.0502874804 -0.003581152  0.0191212150
## stat207  -0.0024157119 -3.223828e-02 -0.0244087758  0.0240586303  0.0020743615 -0.0826842949  0.033665853 -0.0239444977
## stat208  -0.0696770826  5.647441e-02 -0.0016156471 -0.0394689926 -0.0067922347 -0.0424417857 -0.021816112 -0.1278467792
## stat209  -0.0474116325 -3.336858e-02  0.0346649309  0.0535485173  0.0003750840  0.0434397322  0.044352316 -0.0343370565
## stat210   0.0307617558 -1.091969e-01 -0.0419321906 -0.0581022232  0.0221743846 -0.0127496209  0.015017081 -0.1302293079
## stat211   0.0292838083  1.025253e-01  0.1290655211  0.0518758483 -0.0625690060 -0.0343725661  0.047041151  0.0226982559
## stat212  -0.0226261765  3.070357e-02  0.0258584190 -0.0516873273 -0.0715255768 -0.0626195361  0.039023170 -0.0191005536
## stat213   0.1473480016 -9.587479e-03 -0.0672284698  0.0371100686 -0.0060708715 -0.0607742135  0.089713292  0.0130441391
## stat214   0.0746845335 -3.354725e-02  0.0486782863  0.0910467133 -0.0191111200  0.0071905099  0.039269529  0.0469724131
## stat215  -0.1175791719 -1.876776e-02  0.0220806112 -0.0851179539  0.0512382382  0.0930326706  0.119032206 -0.0569826394
## stat216  -0.0450671815  2.399684e-02  0.0464423625 -0.0260583485  0.0747377608  0.0078669242  0.040277659 -0.0433247842
## stat217  -0.0930207811 -7.239672e-03 -0.0524308956  0.0344990932 -0.1159674371  0.0017103836 -0.172821638 -0.0016236246
## x18.sqrt  0.1577963182 -4.738193e-03  0.0002608857  0.0870939236 -0.0802839147  0.0303199164  0.024235284 -0.0190118229
##                  PC221         PC222         PC223         PC224         PC225         PC226         PC227
## x1        1.434769e-01 -0.0164761916  0.0314432941 -9.736855e-02  3.361368e-02 -3.567377e-02  0.0482223650
## x2       -3.758227e-02 -0.0621721355  0.0048035308  8.080394e-02  3.679434e-02 -7.670378e-02 -0.0186181850
## x3       -1.737212e-02  0.1092550562  0.0354758686 -1.022432e-01 -5.988958e-03 -7.051961e-02 -0.0087718422
## x4       -5.869706e-02  0.0176164501  0.1530078089 -6.084782e-02  3.178504e-02  7.900342e-02  0.0288721761
## x5        1.371596e-02  0.0073257980  0.0197842157 -2.877251e-03 -2.253255e-02 -4.514293e-02 -0.0344840948
## x6       -2.951062e-02  0.0044835772 -0.0661047916  1.418183e-02 -2.120949e-01  7.336427e-02 -0.0272993096
## x7       -8.615355e-02 -0.0298567830  0.0987212867 -9.071328e-02  1.151126e-01 -1.402984e-01 -0.0288086953
## x8        5.364317e-02  0.0334101455 -0.0180515111 -6.261819e-03 -1.539404e-02  1.034171e-01 -0.0798864946
## x9       -9.831921e-02 -0.1200415947 -0.0713380355  4.774855e-02  6.811025e-02  1.322461e-01  0.0038014066
## x10       8.350275e-02  0.0426017845  0.0831393010 -4.703868e-02 -1.914846e-02 -8.124845e-02 -0.0738316713
## x11       3.611410e-02  0.0251259918 -0.0047294414 -3.159370e-02 -1.061924e-01 -5.217322e-02  0.0183444697
## x12      -3.483067e-02 -0.1683573945  0.0299529307  1.421564e-02  2.990070e-02 -8.882571e-03 -0.0137214074
## x13      -4.632970e-02  0.0231037701 -0.0022954745  1.795045e-02  9.470780e-02  2.846180e-02  0.0368037784
## x14      -6.447108e-03 -0.0086635007 -0.1297245228  6.407469e-02  2.493765e-03  1.133907e-01 -0.0129071678
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## x17       7.645165e-02  0.0665751200  0.0663123066  1.400777e-01  8.320002e-02  4.599634e-02 -0.0277011508
## x19      -5.221580e-04 -0.0613742188  0.0272305030 -1.124234e-01  4.174984e-02  7.214875e-02 -0.0452359414
## x20       5.548147e-02  0.0679206450 -0.0326903213  2.230521e-02 -2.994569e-02 -8.552146e-03  0.0466438298
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## x22       7.513075e-04 -0.0647558442 -0.0960164324 -7.800341e-02 -1.454851e-02  4.764031e-02  0.1835800285
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## stat57    1.000721e-02  0.0955408334 -0.0191695644  6.422746e-03  5.430729e-02 -4.282908e-02  0.0499121587
## stat58   -5.335669e-02  0.0158914100  0.0270342512  6.722082e-02  4.330197e-02  2.604187e-02 -0.1259563123
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## stat123   9.683596e-02 -0.0077747081 -0.0132859326  3.132890e-02 -5.973106e-03 -5.608392e-02  0.0585325121
## stat124   4.313405e-02 -0.0929609258 -0.0412414094 -4.451164e-02  3.316648e-02  4.388233e-02  0.0270289440
## stat125   5.208992e-02 -0.0368711071  0.0696570649  4.732580e-02  1.027031e-01 -5.680284e-03 -0.0209040684
## stat126  -2.139210e-02 -0.0402777358  0.0872888831  1.587890e-02  6.039074e-02  6.885217e-02 -0.0332744883
## stat127  -7.454172e-03 -0.0526920967  0.0440418999  1.470690e-01  1.896948e-02  9.946596e-02  0.0491910041
## stat128   6.608489e-03  0.0429899582  0.0216658012 -1.109451e-02  7.114514e-02 -6.432869e-02  0.1517699119
## stat129  -1.865784e-02 -0.0648579227  0.0316458934  6.978180e-02  4.030746e-03  6.702380e-02  0.0542338142
## stat130  -1.481698e-02 -0.0346337393 -0.1091476460 -8.985205e-02 -4.944937e-02 -9.030497e-02  0.0305245338
## stat131   1.499068e-02 -0.0558224969  0.0340337052 -2.893763e-02 -8.222057e-02 -2.943994e-02  0.0173006064
## stat132   1.261035e-02 -0.0295747705 -0.0863603961 -1.143225e-01 -2.597990e-02  6.652965e-02 -0.0879022904
## stat133   9.475079e-02 -0.0298229804  0.0590700805 -5.172175e-02  7.305274e-02 -4.663407e-02 -0.0602315449
## stat134  -9.336473e-02  0.0082864930  0.0827512760  2.317235e-02  1.302213e-01 -1.579314e-03  0.0968133959
## stat135  -6.326928e-02 -0.0779417074 -0.0609377872 -1.365335e-01 -8.131903e-02 -1.988589e-02 -0.0046182850
## stat136   1.495723e-02 -0.0686568613  0.0703064713  2.581743e-02 -1.357358e-02 -2.913656e-03 -0.0261047540
## stat137  -2.532549e-02  0.0473198763 -0.0095552520 -1.516245e-02 -3.574182e-02 -1.034496e-01 -0.1439740867
## stat138   2.868098e-02 -0.0335307856  0.1061615266 -9.277808e-02  6.822099e-02  1.168049e-01 -0.0014695041
## stat139   7.574791e-02  0.0115201076  0.1061522053 -1.474023e-01  8.734107e-02 -5.783467e-02  0.0974209017
## stat140   3.813249e-02  0.0041492159 -0.0074190882  7.437880e-03  4.831881e-02  5.046533e-02 -0.0114580714
## stat141  -1.602420e-01 -0.0861636274 -0.0020318735 -1.017004e-01 -2.181982e-02 -1.648359e-02  0.0740869893
## stat142   8.156228e-02  0.0519292463  0.0700224902 -7.794104e-02  1.146033e-01 -2.564106e-02 -0.0225500704
## stat143   9.030975e-02 -0.0387675422  0.0002314544 -3.929800e-03  1.614412e-02 -8.272118e-02 -0.0357793722
## stat144  -1.157506e-02 -0.1684699022 -0.0204385727 -4.499775e-02  4.806666e-02 -2.906973e-04  0.0109506259
## stat145   1.473194e-02  0.0407416317 -0.0351745986 -3.648631e-02 -6.467610e-02 -1.072305e-01  0.0220677599
## stat146   5.285002e-02 -0.0012249527  0.1307738887  3.037973e-02  9.068662e-03  2.050739e-01 -0.0483482911
## stat147   1.544409e-02 -0.0525629698 -0.0215401565  8.167478e-02  1.121259e-01 -1.797242e-02  0.0880108952
## stat148   2.160315e-02 -0.0182423556  0.0338104260 -4.844543e-02 -2.871413e-02  4.111421e-02  0.0260235610
## stat149   6.126925e-02 -0.1641191773 -0.1363364537  3.224516e-02 -7.650664e-02 -6.851677e-02  0.0919920071
## stat150  -5.599258e-02  0.1236080469  0.0659354611 -6.613300e-02  1.347454e-02 -7.330223e-02  0.0185431458
## stat151  -7.276385e-03  0.0518414852 -0.0131668708  4.890076e-02 -5.933929e-02  4.714894e-02 -0.1259829043
## stat152   2.785963e-02 -0.0193449768  0.0260357446 -6.002641e-02 -3.867035e-02  3.402253e-02 -0.0781019650
## stat153  -1.095537e-01  0.0457944127 -0.0550862715 -6.649208e-02 -8.085296e-02  9.230192e-02 -0.0943951650
## stat154   3.219124e-02 -0.0718805100  0.1038589537  6.626725e-02  1.536222e-02  8.163008e-03  0.1487694021
## stat155   8.880109e-03 -0.0237691941 -0.0323269491  1.382273e-03  6.753826e-02 -3.361800e-02 -0.0217104094
## stat156   5.351143e-02 -0.0271318711 -0.0701756291 -1.529173e-02  2.155397e-02  7.987466e-02  0.0088440277
## stat157   1.427271e-01  0.0050143697 -0.0404724508 -1.034708e-01  4.050752e-02  8.312771e-02  0.0302490594
## stat158   3.992852e-02  0.0334147760  0.0361642667 -3.913324e-02 -4.595866e-03 -7.788912e-02 -0.0364990160
## stat159   7.570607e-02  0.0134635346  0.1110592461  3.650840e-02 -2.493089e-02 -1.504196e-02  0.0120838368
## stat160  -2.625688e-03  0.0255636101  0.0182417031 -7.612740e-02  2.644741e-02  5.348978e-02  0.0464360562
## stat161   4.871104e-02 -0.0551118130  0.0410702352  1.182860e-01 -6.777698e-03  1.545401e-02 -0.0560358740
## stat162  -2.113151e-02 -0.0654592378 -0.0516318621  5.275761e-02  1.333121e-02  1.590839e-02 -0.0084456907
## stat163   2.430518e-02  0.0112916993 -0.0512063386 -6.305431e-02  7.843738e-02  5.561774e-02  0.0339439850
## stat164  -7.143335e-02 -0.0502839333  0.0934633729  4.582134e-02  1.787434e-02 -2.218476e-02 -0.0247954435
## stat165   1.018241e-03  0.0263030699 -0.0087239102  5.927074e-03  1.077307e-03 -3.255281e-02 -0.0518826963
## stat166   1.290632e-01  0.0481740777 -0.1281313851 -1.751764e-02  6.498183e-02  1.161851e-02 -0.0243388410
## stat167  -3.130156e-02  0.0960849703 -0.0200975378  2.722560e-02  1.295973e-02  2.774799e-02 -0.0034587258
## stat168  -5.801804e-02 -0.0780257804 -0.0340296566  1.370595e-02  1.938337e-02  8.174260e-03 -0.0268121062
## stat169   5.304146e-03 -0.0078945891 -0.0453261728  2.467540e-02 -3.559303e-02  5.984298e-02 -0.0798704801
## stat170   1.053997e-02 -0.0447062994 -0.0503856068  2.421857e-03  2.283753e-02 -4.471886e-02 -0.0248721320
## stat171  -5.940659e-02 -0.1211162841 -0.0719111430 -7.912246e-02  6.931988e-02 -4.688872e-02  0.0718121999
## stat172  -1.087436e-01 -0.0557059518  0.0645467439  1.267230e-01  1.589495e-02  4.608267e-03 -0.0163359251
## stat173   1.039013e-02 -0.0651376504  0.0313923827 -6.304552e-02 -1.111093e-02  3.318140e-02  0.0416238015
## stat174  -7.073113e-02  0.1839710554  0.0336179540  8.037382e-02 -2.060963e-02 -5.503503e-02 -0.0045733258
## stat175  -4.660092e-02 -0.0546080087 -0.0221594603 -7.779617e-02  2.571222e-02  4.982642e-02 -0.0149666729
## stat176  -1.400983e-01 -0.0286411650  0.0225534332  5.127706e-03  7.560989e-02 -7.812488e-03  0.0063619584
## stat177  -6.512991e-02  0.0432492437 -0.0514160950  3.668910e-02  8.882891e-02  4.127724e-03 -0.0065190658
## stat178  -4.189316e-02 -0.0572359850 -0.0834602711 -4.568418e-02 -9.627475e-03 -1.220637e-01 -0.0764522806
## stat179   4.985311e-03  0.0778011980 -0.0089133753 -9.896235e-02  5.603190e-03 -2.637876e-02  0.0955637569
## stat180  -4.806328e-02  0.1162863492 -0.0163675493 -2.999950e-02  5.477874e-02  9.292924e-02  0.0125554455
## stat181   2.002932e-02 -0.1068436224  0.1186295328  2.067286e-03 -1.800290e-01 -2.062459e-02 -0.0433359683
## stat182   1.546308e-01 -0.0629595456  0.0117138944  7.003982e-02 -5.681338e-02  1.070249e-02  0.0186548407
## stat183  -7.827957e-02  0.0061904664 -0.0042424794  5.445238e-02 -1.303901e-01  6.646622e-02  0.0331748551
## stat184   3.069552e-03  0.1533742372  0.0758337530 -7.174461e-02 -1.298125e-01 -3.993936e-02  0.0082915772
## stat185   7.018177e-02  0.0115446403 -0.1057049150  2.924175e-02 -1.077534e-01 -7.577642e-03 -0.0127323522
## stat186  -2.816222e-02 -0.1189667190  0.1005473122 -1.000124e-01  6.729676e-02 -3.271535e-02  0.0556092092
## stat187   7.915975e-02  0.0044859646 -0.0765660266  3.835150e-02  4.789112e-02  7.666150e-02 -0.1207810831
## stat188  -6.794200e-03 -0.0304279832  0.0162635401  6.397664e-02 -9.678046e-02 -6.863513e-03  0.0505576615
## stat189  -1.009662e-02 -0.0471512581  0.0688142739 -4.047880e-02  3.412002e-02  2.922659e-02  0.0789948953
## stat190   1.795955e-02 -0.0516203592  0.0443464340 -6.564071e-02 -3.687286e-03  2.885433e-03 -0.0486656556
## stat191   8.785221e-02  0.0663564779  0.0183562218  6.950170e-02 -5.338846e-02  1.671571e-01 -0.0282946259
## stat192  -4.848193e-02  0.1003476533 -0.0128424191  3.944655e-02 -4.162550e-02 -3.116132e-02  0.1349045980
## stat193   1.255137e-01  0.0879422121  0.0468823366  1.495053e-01 -3.464019e-02 -6.505777e-02  0.0591802994
## stat194  -1.946776e-02  0.0083273694 -0.0430918813 -1.651433e-02 -7.012564e-02 -1.315239e-01 -0.0058356029
## stat195   5.570590e-02 -0.0191355101  0.1193628511 -4.928390e-02  1.746867e-02  1.129273e-01 -0.0448372940
## stat196   6.044343e-02 -0.0026348330  0.0788456784  2.099393e-02 -5.382876e-02 -8.909200e-02  0.0398769141
## stat197   9.389053e-02 -0.0354398547  0.0442711747 -5.065732e-02 -9.478405e-02  4.903140e-02  0.1048567203
## stat198  -2.800242e-02 -0.0304067941  0.0013773435  3.645442e-02  9.940673e-03  7.055440e-02  0.0034994956
## stat199  -8.348332e-02  0.1255500819 -0.0208787429  4.576737e-02 -1.127485e-03  1.481391e-02  0.0445687113
## stat200  -4.990110e-02 -0.0332097897 -0.0173133382 -1.705598e-02 -3.913027e-02  4.698453e-02 -0.0631687164
## stat201   7.150530e-02 -0.0124653941  0.0220996741  3.606452e-02  4.120286e-02  9.316460e-02  0.0057144709
## stat202  -1.001768e-01  0.1103877868 -0.0795608461 -1.994711e-02  8.964907e-02  1.419843e-01 -0.1393101956
## stat203   8.747639e-02 -0.0310217662 -0.0748542104 -6.192285e-02  3.307923e-02 -1.013368e-01  0.0247502087
## stat204  -1.086857e-01  0.0020049875 -0.0226856002 -8.191571e-02 -7.733511e-02  7.208102e-02  0.0834329871
## stat205   2.268650e-03  0.0196125628 -0.0481481961 -8.850384e-03 -1.982780e-02  3.147398e-02 -0.0108762945
## stat206   1.955283e-02  0.1319080739  0.0062568074  7.457492e-02 -1.560367e-02  9.462271e-02 -0.0058212678
## stat207   5.446362e-02  0.0532138982 -0.0588501445  2.126580e-03 -2.319681e-02  1.479990e-01  0.0249308689
## stat208  -4.135521e-02 -0.0068372210  0.0355799381  2.429639e-02 -1.981193e-01 -7.828096e-02 -0.0294307251
## stat209  -8.816687e-02  0.0148586793  0.1071566054  1.064106e-02  2.391981e-02  2.555294e-02 -0.0214936692
## stat210  -4.390990e-02 -0.0437234978 -0.0861033168  7.803499e-04 -4.302525e-02 -2.306494e-02 -0.0659295939
## stat211   4.940244e-03  0.0307383063  0.1165191423  1.702724e-03  9.580072e-02 -6.915976e-02  0.0788624927
## stat212   5.717341e-02  0.1133588189 -0.1338358008 -8.164357e-02  4.301527e-02  2.970915e-03 -0.0126535790
## stat213   7.716612e-02 -0.0682841688 -0.0315259923  1.685694e-02  5.909687e-02 -6.090839e-03 -0.0214783839
## stat214  -4.859523e-03  0.0796012384  0.0443497410 -1.116375e-01 -9.489278e-02  3.453304e-02  0.0130712481
## stat215   4.594431e-02 -0.0139777414 -0.0370645464 -1.661643e-02  4.485865e-02 -9.527096e-02 -0.1006165365
## stat216   2.523698e-02 -0.0535469268  0.0419233864 -1.000995e-01 -6.132861e-02  3.521613e-02 -0.0558338882
## stat217   5.405635e-02  0.1393632228 -0.0594085320 -3.070101e-02  2.611318e-02  9.529424e-03 -0.0520837240
## x18.sqrt  1.170874e-02  0.0081603669 -0.0895156987 -6.724985e-05  7.032541e-03  7.922676e-03 -0.0752395380
##                  PC228         PC229         PC230         PC231         PC232         PC233         PC234
## x1       -0.0701118073  3.440398e-02 -0.0857934115  0.0786998989 -0.0511910684  0.0501455037 -0.0777131199
## x2       -0.0559059627 -4.283275e-02  0.0098144870 -0.0082083009  0.0570866649 -0.0720532532  0.0538107713
## x3        0.0013166321  9.809866e-02  0.0362266705 -0.0184429490  0.0340971803  0.0773693461  0.1467863942
## x4       -0.0022719400  4.378008e-02  0.1039654845 -0.1060177434 -0.0732845383  0.0024152124 -0.0713283489
## x5       -0.0643875685 -1.453389e-01  0.0540194270 -0.1065504997  0.0444616263  0.0373069074 -0.0412323461
## x6        0.0016252451 -1.284333e-02  0.1356168936  0.0019521342  0.0365157095 -0.0199557062 -0.0220644838
## x7       -0.0304069552  1.000690e-02  0.0879451073 -0.1114102966 -0.0415376711  0.0534661276  0.0454686274
## x8        0.0466050452 -1.940175e-02 -0.0273057309 -0.0096226882  0.0237725844  0.0916283301  0.0349512508
## x9       -0.0164827384 -2.922681e-02  0.0404819969  0.0602383974  0.0175620030  0.0559089476 -0.0309880820
## x10      -0.0193304554  1.768470e-02 -0.0236889302 -0.0598228672 -0.0744842427  0.0727799932  0.1777855727
## x11       0.0348612215  8.777839e-03  0.0066160026 -0.0094607152 -0.0511250851  0.0015718596 -0.0536213701
## x12      -0.0511044344  2.024729e-02  0.0561020010  0.0344847046  0.0674711897 -0.0295644452  0.0987519264
## x13      -0.1126113221 -1.214646e-01 -0.0936916620  0.0106893888 -0.0418423618 -0.0666419711 -0.0191901601
## x14       0.0111111398  1.705566e-03  0.0353039154  0.0352084516  0.0067127985  0.0005617803 -0.0157419650
## x15      -0.0157894549  1.521065e-02  0.0085280259  0.0464207114 -0.0700066106 -0.1119237128  0.0978314503
## x16      -0.0337573560 -5.881783e-02  0.0005877216 -0.0297825482 -0.0199495887 -0.0543929662 -0.0347939184
## x17       0.0190679640  6.167790e-02 -0.0383765616 -0.0172896523  0.0008258460 -0.0370731932  0.0945253325
## x19      -0.0766636579 -8.222630e-02 -0.0697433535  0.0392366302  0.0235245162  0.0484720013  0.0222603730
## x20      -0.0550523515  8.039989e-02  0.0189559514  0.0547504882  0.0807168143 -0.0212977344 -0.0025227465
## x21      -0.0181405341  2.823172e-02 -0.0025139201 -0.0651977927 -0.0356186430 -0.0384498017  0.0320292341
## x22       0.0544432563  5.230265e-02 -0.0846118769  0.1364699023 -0.0545813420 -0.0262965767  0.0169252259
## x23      -0.0562769548  5.022229e-02 -0.1081481688 -0.0550168804  0.0083606005  0.0687294423  0.0421454045
## stat1    -0.0043430169 -8.384764e-03 -0.1768341208  0.0179680123  0.0970887906  0.0110875616  0.0157687908
## stat2    -0.1291168326  1.022889e-01  0.0833075279  0.0316764618 -0.0898642508  0.0854576249  0.0034481111
## stat3     0.0610552298  8.242612e-02  0.0335905817 -0.0398329867  0.0070420093  0.0013282400  0.1415131131
## stat4     0.0343939544 -7.018182e-02 -0.0288218339  0.0666974434  0.0916832095 -0.0161104515  0.0192389294
## stat5    -0.0837007398 -9.114216e-02  0.0509924529 -0.0552406679  0.0138935202 -0.0937103517  0.0501178997
## stat6     0.0163722888 -4.234591e-03 -0.0290237277 -0.1076656346 -0.1073070055  0.0226791234 -0.0982075555
## stat7     0.1178438160  4.215999e-02 -0.0302183825 -0.0323097744  0.0043568742  0.0657993785 -0.1414373225
## stat8    -0.0030515089  1.259956e-01  0.0470414192 -0.0103018560  0.0120014325 -0.0139839604 -0.1032730628
## stat9     0.0497592753 -3.679860e-04  0.0467540299 -0.0786062722  0.0710879987  0.0483224858  0.0305925529
## stat10   -0.0225758045 -6.788919e-02 -0.0067238367 -0.0543268391  0.0034883639 -0.0687448199  0.1271073201
## stat11    0.0115264595 -9.863645e-02  0.0457847125 -0.0646027430  0.0714616139 -0.0222930734 -0.0618262444
## stat12   -0.0032167217 -1.888340e-02 -0.0536945380 -0.0897804498  0.0396009385  0.1157792259 -0.0004551199
## stat13    0.0066477999 -1.074581e-01  0.0320140776  0.0512793533 -0.0617532801  0.0149466346 -0.0157831986
## stat14    0.0004239549 -3.107121e-03  0.0053692452 -0.0941507594 -0.1717765422 -0.1078886439  0.0130148921
## stat15    0.1280665155 -5.389786e-02 -0.1124986360  0.0529702720 -0.0125152505  0.0261833270 -0.0172821244
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## stat157  -0.0182706251  1.068594e-02 -0.0698708292 -0.0649690442 -0.0417387365 -0.0003816410  0.0195230522
## stat158   0.0078465751  4.483712e-02  0.0792858537 -0.0716129396  0.0169585745  0.0562078831  0.0046594558
## stat159   0.0022783062  1.073810e-01 -0.0110584138  0.0553750532  0.1033263667 -0.0694865405 -0.0789098372
## stat160   0.0179805283 -2.028490e-02 -0.1104570692  0.0466919004  0.0835379067 -0.0653497315  0.0549837113
## stat161  -0.0258403923 -5.596317e-02  0.0276739381  0.0351567508  0.0209426810  0.0096561668 -0.0536586364
## stat162   0.0012345054 -1.474875e-02  0.0914962038 -0.0111608327  0.0361027872 -0.0864593904  0.0147484333
## stat163  -0.0508582638 -2.572437e-02  0.0334829971  0.0669004910 -0.0236980917 -0.1258830240  0.0133830458
## stat164   0.1044093904 -8.384625e-02 -0.0590585333 -0.0297562090 -0.0580465971  0.0886741463  0.0146453155
## stat165  -0.0152697822 -1.840401e-02  0.0570134801  0.0378637717 -0.0594154436  0.0912287461 -0.0247042004
## stat166   0.1003686870  2.196342e-02 -0.0190780369 -0.0447865773  0.0982372091  0.0503029279 -0.0705619418
## stat167   0.0011620961 -3.975994e-02  0.0403388571  0.0444590072 -0.0521226598 -0.0168076121  0.0184581097
## stat168   0.0456621493 -5.581269e-02  0.0752748326 -0.0754720607 -0.0736225104  0.0533572317  0.0318889908
## stat169   0.0169479156  9.320472e-03 -0.0781816292 -0.0784098998 -0.1160842912 -0.0505343495  0.1076574330
## stat170   0.0572329195 -3.855176e-02  0.0558074012  0.0276360889 -0.0620722209 -0.1641318044  0.0231918426
## stat171  -0.0560907338 -1.001966e-01  0.0150759891 -0.0499040099  0.0946152976  0.0255054733 -0.0103922345
## stat172   0.0126153072  7.301968e-02  0.0641159028 -0.0873501284  0.0465232054 -0.0333211244 -0.0062111081
## stat173   0.0710136456 -1.136910e-02 -0.0203333159 -0.0854512112  0.0196049001  0.0498758248  0.1133231689
## stat174  -0.0488844445 -1.097697e-01 -0.0088212670 -0.0145441875  0.0547542576 -0.1018266920 -0.0397383700
## stat175   0.0880606472  1.162940e-01 -0.0334679135  0.0052438032 -0.0311367838  0.1388738134 -0.1148216367
## stat176   0.0030902548  1.588197e-02  0.0187060839  0.0900793125 -0.0789698318  0.0269734438 -0.0217311690
## stat177   0.0120727646 -1.504577e-02 -0.0899796947  0.0289307534  0.0423481640 -0.1208282358 -0.0307097143
## stat178  -0.0466995622 -3.001115e-02 -0.0965932967  0.1512039134 -0.0133022600 -0.0519898855  0.0419904866
## stat179   0.0823989083 -2.176017e-02  0.1154720529 -0.0372907209 -0.0456313176  0.0062092334  0.0594641585
## stat180   0.0613484231  1.860961e-02  0.0910804632  0.0273662490 -0.0249271783  0.0877294093 -0.0894713420
## stat181   0.0618066413  7.926110e-02 -0.0024530460  0.0829845513  0.0822371369  0.0171089771  0.0570690082
## stat182   0.1200498673 -1.489814e-01  0.0445498925  0.0043925711  0.1169610017  0.0128908129  0.0224342344
## stat183  -0.0147171271  1.715586e-01  0.0076754433 -0.0340726740  0.0635919006  0.0115508786  0.0828296844
## stat184   0.0823020489  8.253569e-02 -0.0479027882 -0.0804156604 -0.0053742757 -0.0225993153  0.0389551009
## stat185  -0.0373647565  7.936578e-02 -0.0226234650  0.0812309257  0.1241150029  0.0520576353  0.0727518274
## stat186  -0.0833442190  6.240243e-02 -0.0914330133  0.1057913297 -0.0966674170  0.1072104128 -0.0219597667
## stat187  -0.0040134231 -1.051302e-01 -0.0006795648 -0.0544624552 -0.0583483182  0.0755175592 -0.0099751234
## stat188   0.0181317166  2.743863e-02  0.0390730926 -0.0361729127  0.0849759011  0.0164552770 -0.0431089885
## stat189   0.0179011848 -6.314281e-02 -0.0058528227  0.0067213203  0.0738628813  0.0019198586  0.0294332602
## stat190  -0.0322872310  5.951477e-02 -0.0454142580 -0.0894245897  0.0096675999 -0.0045516140 -0.0283480354
## stat191   0.0632684163  3.971409e-02 -0.1639694621  0.0297591043 -0.0206325481  0.0223438022 -0.0562304260
## stat192  -0.1367716596  3.896137e-02  0.0113987359 -0.0920198816 -0.1065019802  0.0940686483 -0.0587893427
## stat193   0.0779525187 -1.857769e-02 -0.0301604448  0.0139312924  0.0284950084 -0.1074620877 -0.0287898525
## stat194  -0.0304694541 -1.128629e-01 -0.0219126262  0.0880003267  0.0681981015  0.0167820840  0.1141735991
## stat195  -0.0903862961 -4.886282e-02  0.0895750730  0.0134935983 -0.0467121086 -0.0211861406 -0.0674059828
## stat196  -0.0104127622  5.123166e-02  0.0810931702  0.0155223669  0.1403527282 -0.1168702649 -0.0159141836
## stat197   0.0437338633 -2.387814e-02 -0.0131693829 -0.0450170941  0.0823472700 -0.0113019557  0.0861790484
## stat198  -0.0250266695  5.038540e-03 -0.0791359348  0.1148647660 -0.0343467503  0.0898385452 -0.0559075178
## stat199   0.0692191983 -7.739205e-02 -0.0327111192  0.0216449112 -0.0665844637  0.0680952415  0.0171838756
## stat200   0.1158970935 -3.294787e-02  0.0679454278 -0.0154257428  0.1212534429 -0.0232672476  0.0492132494
## stat201  -0.0892793316  4.361688e-02 -0.0025129218 -0.1138150798 -0.0380991297 -0.0155231152 -0.0112068403
## stat202  -0.0433808472  2.384062e-02  0.0461155669 -0.0171261659  0.0569711680 -0.0904595708 -0.1248982430
## stat203  -0.1090197836  6.735097e-03 -0.0366486098  0.0036219794  0.0210918194  0.0124355837  0.0706536590
## stat204   0.0519759434  2.435631e-03  0.0066404150 -0.0729956835  0.0994349067 -0.0809936810 -0.0529594460
## stat205   0.0048766805  6.524093e-02  0.1735745307  0.1049461770  0.0809519958 -0.0179794871  0.0947884556
## stat206   0.0363994838 -7.276235e-02 -0.0135006951 -0.0017634080  0.0577349099  0.0503488538 -0.0486169772
## stat207  -0.1269762923 -4.202267e-02  0.0163281700  0.0476443847 -0.1472784701 -0.0708284072 -0.0170609686
## stat208  -0.0521864469 -5.209541e-02  0.0094943102 -0.0339818101 -0.0126096811 -0.0637758130  0.0168782540
## stat209   0.0533436307  4.573653e-02  0.0205408386  0.0296375990 -0.1325375452 -0.1011353861  0.0522175428
## stat210  -0.1187173391 -2.933293e-03 -0.0413471542 -0.1486951179  0.0940340178 -0.0013021337 -0.0271033400
## stat211   0.0003875344  2.491982e-02 -0.0476498508  0.0974337792  0.0501087067  0.0904181676 -0.0033773873
## stat212  -0.0402672085 -4.388608e-03  0.0396003869  0.0544364573 -0.0801722202  0.0487974918  0.0765666884
## stat213   0.0231772062 -7.835090e-02  0.0247640749  0.0460098793 -0.0354721012  0.1122596631 -0.0277392168
## stat214  -0.0483079023 -9.215236e-02 -0.0122041943 -0.0228529424  0.0403558188  0.0005687941 -0.0466195925
## stat215  -0.0216769203  3.370613e-03 -0.0682014138 -0.0243069787 -0.0742645197  0.0678939857 -0.0860117957
## stat216  -0.0052500255 -6.182594e-02  0.1111318590  0.0742631544  0.0851244541  0.0027675191 -0.0184292053
## stat217  -0.0765037843 -9.612029e-03 -0.0014638942  0.0573271891  0.0492380187 -0.0008423217 -0.0484625361
## x18.sqrt -0.0006733571 -3.077926e-02  0.0121215153  0.1470928040 -0.0089978615  0.1284160721 -0.1110612804
##                  PC235         PC236         PC237         PC238         PC239         PC240
## x1        9.833619e-03 -1.583145e-02  0.0482280980  0.0019890694 -0.0843636973  0.0925374298
## x2       -8.803368e-02  1.269788e-01  0.1110645284 -0.0227936869  0.0419404238 -0.0588065265
## x3       -8.125371e-02 -7.529359e-02  0.1278268451 -0.0003663356 -0.0160366988  0.0785277206
## x4        3.177506e-02 -5.155564e-02 -0.0105719788 -0.0732304170  0.0428121657  0.0165965594
## x5        6.477612e-02  4.224525e-02  0.0596925443  0.0515730039  0.0471900213 -0.0129328318
## x6        4.849738e-02  3.831012e-02  0.0700955238 -0.1061004795  0.0170795247 -0.0272348352
## x7       -5.255632e-02 -1.321298e-02  0.0086997702 -0.0365199480  0.0314430890 -0.0745869623
## x8       -1.078645e-01  7.462201e-02  0.0928362414 -0.0359313275  0.0263754045 -0.0354934916
## x9       -2.882017e-02 -8.218423e-02 -0.0572321906  0.0327587799  0.0446824143  0.0360013448
## x10      -7.959861e-02  1.031173e-01  0.0124566104  0.0236645530  0.0135936017 -0.0306945647
## x11       7.132457e-02 -1.191574e-01  0.0580898500 -0.0386193359 -0.0073642579 -0.0143262178
## x12      -4.706561e-02  8.715071e-02  0.1246749781  0.0638403802 -0.0083909037  0.0773656709
## x13       6.025704e-03 -1.499195e-02  0.0139449692  0.0095856429 -0.0636332723  0.0306841712
## x14      -1.508077e-01  4.403160e-03  0.0554822945  0.0087761479  0.0923984385  0.0483291176
## x15       4.237481e-02  1.044670e-01  0.0464155163  0.0580595008 -0.0316664469 -0.0982120182
## x16      -1.189150e-01  6.492990e-02 -0.0557377604 -0.0666282766 -0.0621461078 -0.0178124953
## x17      -1.615819e-01 -3.512691e-02 -0.0088664800  0.0035340014  0.0185042308  0.0330533495
## x19      -5.511517e-02  4.766626e-02 -0.0037122602  0.0246116784  0.1276766187  0.0570333980
## x20      -1.613969e-01 -4.701683e-02 -0.0905791877 -0.0574190490  0.0165692202  0.1045445164
## x21      -2.264479e-02  4.304938e-03 -0.0019397279  0.0195510457  0.1272338422  0.0795626503
## x22      -4.082694e-02 -3.117980e-03  0.0133881901 -0.0067241708 -0.0511986190  0.0142587332
## x23      -1.201767e-01  3.500274e-02 -0.0359351401  0.0221172712  0.0005797394 -0.0124553721
## stat1    -2.261455e-02  2.289171e-02  0.0383011773 -0.0845039264 -0.0132165912 -0.1004329820
## stat2     5.512111e-02 -1.074490e-01 -0.0097202616  0.0357948186 -0.0913629357  0.0540888325
## stat3     4.388535e-02  5.796506e-02  0.0906831633  0.0223203078  0.0801595877  0.0303835353
## stat4    -3.351728e-02  1.966148e-03 -0.0674846240  0.0852972056 -0.0698759694 -0.0387300019
## stat5    -4.224967e-02  3.712689e-02  0.0265588485  0.0746046518 -0.0131717134  0.0765843838
## stat6    -3.543964e-02 -1.578824e-01  0.0921104277 -0.0276928558 -0.0643397561  0.0146488309
## stat7     2.072213e-03 -1.137536e-01 -0.0326837682  0.0325440931 -0.0225244513  0.0269707399
## stat8     4.280806e-02  4.300454e-02 -0.0181709902  0.0485895534  0.0881053269 -0.0010429729
## stat9     3.905696e-02  1.750793e-02 -0.0610554682 -0.0982405504 -0.0284063152 -0.0883082612
## stat10   -6.827923e-02 -7.612145e-02  0.1009369943  0.0208244592 -0.0102781309  0.0126887165
## stat11   -1.553617e-02  1.111301e-01  0.0450340017 -0.0201716039 -0.0178646813 -0.0396934316
## stat12    6.773397e-02 -7.065868e-03 -0.1020372261 -0.0224019812 -0.0194540102 -0.0749655295
## stat13    1.104799e-01  9.080418e-03  0.0601713815 -0.0278535633 -0.0182410583 -0.0046556772
## stat14   -8.350629e-02 -3.156194e-03 -0.0234675587  0.0702410243 -0.1052026096  0.1166160517
## stat15    3.485746e-02  7.614164e-02  0.0466019914  0.2077790797  0.0404896402  0.0613283711
## stat16   -5.980342e-02 -3.930161e-02 -0.0305223181  0.0045680650  0.0104476424 -0.0624918754
## stat17   -3.581563e-02  1.675532e-03 -0.0132311162 -0.1590517644  0.0600022501  0.0005139814
## stat18   -1.553631e-01  4.248958e-02 -0.0459469212 -0.0627222684  0.0019360337  0.0215889668
## stat19    1.524576e-01 -2.447208e-02 -0.0460851608  0.0323418807  0.0141869736  0.1014987422
## stat20   -1.098370e-01  3.938519e-03  0.0169779020 -0.0563181718 -0.0822488065 -0.1091984982
## stat21   -1.279267e-01  9.798349e-02  0.0243954709 -0.0385277321  0.0147797638  0.0252327900
## stat22   -2.006424e-02 -3.354063e-02  0.0670911785 -0.0014981868  0.0533406749 -0.0009480402
## stat23   -1.899417e-02  2.962661e-02  0.0507316817 -0.0056130511 -0.0666898222 -0.0480850274
## stat24   -4.992348e-02 -2.222439e-02  0.0011163907 -0.0510191749  0.0197782679  0.0362196067
## stat25    2.418265e-02 -7.402465e-02 -0.0090478653 -0.0790450836  0.0073550682  0.1282018153
## stat26   -8.161297e-03  4.182927e-02 -0.0041103347 -0.0194380246  0.1014303288  0.0050621152
## stat27   -7.031084e-04 -7.158972e-02 -0.0614242077  0.0309153908  0.0743630995 -0.0853060384
## stat28   -1.890292e-03 -8.304632e-02 -0.0223619719 -0.1179686747 -0.0674800894  0.0025522308
## stat29    5.272106e-02  7.883684e-03 -0.0169768365 -0.0747848149  0.0026075898 -0.0280418770
## stat30    3.849282e-02  9.996086e-03  0.0616213438 -0.0023976430 -0.0209022351 -0.0880987695
## stat31    7.454484e-02 -1.192620e-01  0.0212790432 -0.0931289140 -0.0302115650  0.0567590605
## stat32   -3.085593e-02 -8.467844e-02 -0.0120296574  0.0036643152 -0.0811266688  0.0348787450
## stat33   -2.120426e-02 -1.575250e-02  0.1594999857 -0.0479898997 -0.0525397480 -0.0144758310
## stat34    6.450328e-03  1.894641e-03 -0.0032148132 -0.0460440313 -0.0145414665 -0.0088816388
## stat35    7.194646e-02 -1.752659e-02  0.1150238622 -0.0565101471 -0.0417571333  0.0463781808
## stat36   -3.148551e-02 -3.063133e-02 -0.0038005829  0.0238917546 -0.0785313564  0.0527618991
## stat37    1.702652e-02  5.797348e-02 -0.0438250361  0.0260639340  0.0859071929  0.1055497439
## stat38   -2.736008e-02 -4.124900e-02  0.0541583106 -0.0385702211  0.0994852961 -0.1611087030
## stat39   -9.215752e-02 -5.379940e-02 -0.0140106347  0.0864529577 -0.0347669977 -0.0017810164
## stat40    1.013083e-01 -3.799665e-02 -0.0056711028  0.0041329127  0.0147258315  0.0373156009
## stat41   -6.678201e-02 -1.631090e-02  0.0745846714 -0.0593724377 -0.0688131693 -0.0278352988
## stat42   -5.764750e-02  1.394149e-03  0.0310038863 -0.0083515896 -0.0503665747  0.0832973517
## stat43   -5.097647e-02  1.282191e-01 -0.0737633717  0.0382626886  0.0266952418  0.0225179053
## stat44    9.991932e-02 -3.185630e-02 -0.0742748064 -0.0880695300  0.0903849080  0.0439897853
## stat45    2.199467e-02  5.198725e-02  0.0270161240  0.1504038554 -0.0236912796 -0.1815750153
## stat46   -7.291235e-03 -1.059721e-01 -0.0816648042  0.0320665657  0.0561267127 -0.1264361020
## stat47    6.447106e-02 -5.416521e-02 -0.0583094643  0.0595427013  0.0157644907 -0.0864428573
## stat48    8.023304e-02 -1.520082e-02  0.0143931622 -0.0762786298  0.0882394727 -0.0443051797
## stat49   -1.990665e-02  1.276331e-01 -0.1381670694 -0.0383212419  0.0259826574 -0.0227085139
## stat50    2.283866e-02 -3.854451e-02 -0.0226790919  0.0311849640  0.0429091800 -0.0126879762
## stat51    5.268097e-02 -6.233394e-02  0.0250832334 -0.0064441745  0.0319332555  0.0702241905
## stat52    9.175662e-02 -8.252680e-02  0.1237393819 -0.0362534492  0.0506667252 -0.0660351102
## stat53    8.854702e-05 -3.505504e-02 -0.0436065462 -0.0589958269 -0.0365059905  0.0125556117
## stat54    6.804351e-03  9.198845e-02 -0.1693741081 -0.0174578541 -0.0337310374 -0.0875484206
## stat55   -2.071438e-03 -4.066005e-03 -0.0316236684 -0.0362998660  0.0299567939 -0.0047414611
## stat56    8.279822e-02 -2.700979e-02 -0.0422790632  0.0157999816  0.0195089519  0.0723520224
## stat57    1.486334e-01  6.771922e-03 -0.0210968330  0.0642078934 -0.0992871387  0.0075373758
## stat58   -1.318186e-02  1.924437e-02  0.0336047015  0.0012556900 -0.0931244327  0.0698600116
## stat59    1.073431e-02 -3.355182e-02 -0.0250079051  0.0321100184  0.0362067191 -0.0346282156
## stat60    4.254998e-03  6.498745e-03  0.0139594358 -0.0064484849  0.0754945171  0.0316032616
## stat61    1.767570e-02  3.297966e-02 -0.2056171551 -0.0247709675  0.0815580995  0.0321222623
## stat62   -1.646843e-02 -5.608120e-02  0.1022366278  0.0729439405 -0.0974526029 -0.0526020160
## stat63    8.111561e-02 -9.931343e-03  0.0292802994 -0.0186939464 -0.0229485403 -0.0070620574
## stat64    1.682032e-02 -8.214164e-02 -0.0391443060  0.0446732525 -0.0488541553 -0.0638247088
## stat65    5.453208e-02 -1.084771e-01  0.0500854663 -0.0632574377 -0.0079071744  0.0170602007
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## stat68    4.344237e-03 -9.404295e-03 -0.0282232174 -0.0716804749 -0.0219887756 -0.0773070363
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## stat71   -6.093511e-02  5.508722e-02 -0.0974243934 -0.0001017774  0.0993382339 -0.0251773271
## stat72   -2.066305e-02  6.976736e-02 -0.0600276762  0.1073546293 -0.1176566574  0.0280934139
## stat73   -3.737680e-02 -1.051512e-01  0.0365524317 -0.0961743183  0.0477254916 -0.0145562625
## stat74    5.699209e-02  1.854579e-02  0.0122706607  0.0557283598  0.0887780183  0.0133786461
## stat75   -4.693358e-02  2.287178e-02  0.0610308256 -0.0015306555  0.0289227167 -0.0806628427
## stat76   -5.295299e-02 -3.444570e-02  0.0455517227  0.0006684795 -0.0553916130 -0.1005306294
## stat77    1.019607e-02 -2.888764e-02 -0.0098854748 -0.0685681704  0.1197933616  0.0074111295
## stat78   -2.141444e-02  2.933518e-02 -0.1103679768 -0.0180042836  0.0129919760 -0.0047117514
## stat79   -1.093534e-02  1.504918e-02  0.0740778364 -0.0236832999  0.0280507169  0.0770530983
## stat80   -8.104031e-02  8.665311e-03 -0.1057480583  0.0436318211 -0.1644110635 -0.0631583285
## stat81   -2.820384e-02 -7.306041e-02  0.1151797579 -0.0041660751 -0.0052325605  0.0126051228
## stat82    4.068795e-02  1.956498e-03 -0.0605901240 -0.0047919519 -0.0809963142 -0.0015008270
## stat83   -2.089831e-02 -6.989349e-02  0.0198532700 -0.0710987682  0.0663721123  0.0948546769
## stat84    6.041117e-02  5.269697e-02 -0.0833060032 -0.0637857209 -0.0275469223 -0.0467774251
## stat85    7.383207e-02 -2.183459e-02  0.0289146147  0.0667798378  0.0103412136 -0.0650553558
## stat86    6.732974e-02  1.067260e-01 -0.0641937859 -0.0095056390  0.0763307150  0.1090454802
## stat87    6.877606e-03 -9.182601e-02 -0.0648913558  0.0468158469  0.0752702056  0.0293096856
## stat88    4.716575e-02  3.913248e-02  0.0685913079 -0.0206413009  0.0082043167 -0.0460448251
## stat89   -2.990534e-02 -9.848406e-03  0.0105120078  0.0054686571 -0.0836653068 -0.1094500184
## stat90    1.286198e-02 -3.298659e-02  0.0098121891 -0.0079183110 -0.1002172530  0.0326382430
## stat91    5.785397e-02  1.073758e-01 -0.0378291262 -0.1324017942  0.0365764456 -0.0060341617
## stat92    5.468609e-02  7.179928e-02 -0.0127144769  0.0450752065 -0.0142049250  0.0480367094
## stat93   -9.222721e-03 -5.675286e-02 -0.0541171142 -0.1488984307  0.0545685092  0.0611412968
## stat94   -1.287554e-03  4.967519e-02 -0.0191428995 -0.0880898736  0.0307605399  0.0115405283
## stat95    1.337494e-01 -4.386646e-02 -0.1356648655 -0.0735276172  0.0297046378 -0.0469080058
## stat96   -6.417839e-03  7.747094e-02  0.0738611905  0.0376846256  0.1001264394  0.0544973771
## stat97   -2.633313e-02  7.434337e-02 -0.0282008893  0.0309130842  0.0951368895 -0.0199812401
## stat98    1.264926e-01  1.832763e-03  0.0117286603  0.0191522333 -0.0297647214  0.0031832688
## stat99   -1.381249e-02  3.197705e-02  0.0474200064 -0.0706700572  0.0630862173 -0.0615108127
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## stat101  -6.838471e-02  8.324436e-02 -0.0391767990  0.1648160532 -0.0438056826 -0.0045058386
## stat102   3.140455e-02  1.394176e-01 -0.0248546046  0.0164535867 -0.0064306018  0.0054070519
## stat103   7.210016e-02  5.712999e-03  0.0518635537 -0.0231403556  0.0159415435 -0.1046413400
## stat104   1.162899e-01 -6.774697e-02 -0.0601307456  0.1543147145  0.0518526963  0.0492895683
## stat105   6.855526e-02 -4.915661e-02  0.0722153261 -0.0532929755  0.0532727678  0.0072146923
## stat106  -1.316117e-01 -3.564110e-02 -0.0775879422  0.0045591434  0.0478632438 -0.0164912039
## stat107   7.297388e-05  2.941813e-02 -0.1099847593  0.0241772751 -0.1441288618 -0.0044065361
## stat108   1.513135e-01  1.187618e-01 -0.0301885195  0.0924542711 -0.0646522544  0.0232953254
## stat109   4.661393e-02 -4.733610e-03 -0.0195666917  0.0202505962 -0.0178829163  0.0522819699
## stat110   1.047904e-01  1.007600e-02 -0.0384947865 -0.0287927097 -0.0562715789  0.0691806871
## stat111   4.873024e-02 -1.074834e-01 -0.1176211043 -0.0132497515 -0.0480325966 -0.0566812694
## stat112  -3.780195e-02 -3.305187e-02 -0.0332993386  0.0185807130  0.0268374682  0.0848203670
## stat113   7.066624e-02 -9.342238e-02  0.0237780191 -0.1095981732  0.1078192126  0.0215159461
## stat114  -2.036767e-02 -6.942374e-02 -0.0329331256 -0.0736347869 -0.1071796618 -0.0201262952
## stat115  -2.708281e-02 -9.414029e-02 -0.0192158763  0.0772961696 -0.0030154791 -0.0559661048
## stat116  -4.775105e-02  5.262235e-02 -0.0016033975 -0.0538755359 -0.0280367104  0.0583873956
## stat117  -8.307358e-02  8.355474e-03 -0.0404155847 -0.0171316562 -0.0735742018  0.0668724058
## stat118   5.575156e-03  4.632716e-03  0.0490656671 -0.0398560190  0.0657219083  0.0721590892
## stat119   1.060814e-01 -7.720476e-02 -0.1054776614 -0.0398671904 -0.0826155794  0.0524935612
## stat120  -1.663179e-02  4.867562e-02 -0.0844725039  0.0055225922  0.0488055258  0.0973740235
## stat121   4.369888e-02  6.305269e-02  0.0001689073 -0.0717615208 -0.0659131196 -0.1096133676
## stat122   1.284737e-01  2.155174e-02  0.0021029972 -0.0405619471  0.0467877182  0.0152397927
## stat123  -4.553322e-04  1.206261e-01  0.0469553802  0.1020106148  0.0143151210 -0.1431913006
## stat124  -4.157430e-02  8.705996e-03  0.0905248785  0.0005081398 -0.0691854392  0.0758674377
## stat125   8.715770e-02  5.110152e-02 -0.0063225958  0.0808025900 -0.0347905697  0.0506825626
## stat126  -2.526056e-02 -5.429689e-02  0.0460765611 -0.0229357677  0.0567886201 -0.0735992744
## stat127   2.327455e-02 -8.032154e-02 -0.0377378421  0.0260322821 -0.0360899565 -0.0417729394
## stat128   1.567583e-02 -6.806629e-02  0.0713504173  0.0973212153  0.1275536147 -0.1185198660
## stat129   4.581349e-02  8.993534e-02  0.0436199740 -0.1037296066  0.0073846722 -0.1109821258
## stat130   1.483844e-02  7.642184e-02 -0.0415835948 -0.0036357875  0.0242404795  0.0273276703
## stat131  -3.248702e-02 -1.268898e-01 -0.0445034567  0.0472571466  0.0165192149  0.0933236139
## stat132  -1.211563e-02  2.771635e-02 -0.1006804698 -0.0129968364  0.0772939859  0.0191796832
## stat133   2.428013e-03 -5.850908e-02  0.0885539127 -0.0476967833  0.0291951307 -0.1389818848
## stat134  -3.625518e-02 -4.474637e-02 -0.0755111916  0.0243370037  0.0713760804 -0.0288996535
## stat135   1.125484e-01 -8.949208e-03 -0.0430247761 -0.0537475463  0.0198497588  0.0791632798
## stat136   2.159867e-02 -6.551831e-03 -0.0370472802  0.0746673552 -0.0407135690 -0.0309384261
## stat137  -2.068616e-02 -5.441086e-02  0.0981696184  0.1376874875 -0.0518743570 -0.0052097684
## stat138  -1.629680e-03 -2.619201e-02  0.0227653253 -0.0765913045 -0.1047002853  0.0277495526
## stat139   1.922334e-02  7.193740e-02 -0.0394768355 -0.1338238347 -0.0216935979  0.0528713041
## stat140   4.564095e-02 -7.002682e-02 -0.0401626797 -0.0935310409 -0.0310441070  0.0003463844
## stat141  -3.424567e-02 -1.786964e-02 -0.0042098757 -0.0077595653  0.1156673347 -0.0215223488
## stat142  -4.148294e-02  1.023131e-01 -0.0863310089 -0.0618102484 -0.1347358544  0.1101656215
## stat143  -6.788771e-02  4.474552e-02  0.0548948489  0.0490247181 -0.0211162561  0.0422632970
## stat144   2.770851e-02  1.018711e-01 -0.0257726198  0.0975353361  0.0898776421  0.0325406471
## stat145   1.532339e-01 -2.136629e-03  0.0898674941  0.0134283651 -0.0376075177 -0.0608269810
## stat146  -2.613090e-02 -7.593288e-02 -0.0172589425 -0.0943864865  0.0136702035 -0.0578524479
## stat147  -4.562686e-02 -7.045634e-02  0.0709567284  0.0599639812 -0.0235068739 -0.1308536086
## stat148  -3.608930e-02 -7.888197e-02 -0.0911498524  0.1232477203 -0.0239225176 -0.0227586077
## stat149   1.330580e-03 -4.711118e-02  0.0202383231 -0.0311707406  0.0348488785 -0.0738718090
## stat150  -1.146039e-01 -7.671703e-02 -0.0129205235 -0.0149214890  0.1134663077 -0.0234771312
## stat151   5.155934e-02 -6.450739e-02  0.0025593720  0.1338973228  0.0477250900 -0.0347783671
## stat152  -6.999906e-02  2.148947e-01  0.0226972680 -0.0099143402 -0.0375689429 -0.0710864894
## stat153   6.368574e-02  4.105934e-02  0.1289995975 -0.0786845734  0.0610238421  0.0932311388
## stat154  -6.397433e-02 -7.414887e-02 -0.0687477501  0.1148104809 -0.0968329473  0.0014080995
## stat155  -5.201431e-03 -1.064272e-01  0.0031441575 -0.0433258380  0.0042621214 -0.0233498343
## stat156  -3.972109e-02  2.563121e-02 -0.1251920610 -0.0548380928 -0.0524551196  0.1769442902
## stat157  -9.660708e-02  5.338164e-02 -0.0029072703  0.0067615518 -0.0114329955 -0.0316660214
## stat158   5.452515e-02 -4.710826e-05  0.0444421090  0.0478899598 -0.1404771673 -0.0678239060
## stat159  -9.674188e-04  2.029206e-02  0.0035871426  0.0543681600  0.0747718508 -0.1121542500
## stat160  -2.983898e-02 -7.629345e-02  0.0151674994  0.0192644797 -0.0658664278  0.0281752266
## stat161  -3.345207e-02 -8.922876e-02  0.0557917993  0.0208148057 -0.1295305722 -0.0365884576
## stat162  -1.383938e-01  9.821353e-02 -0.0728267377 -0.0653782009 -0.0901317995 -0.0239767262
## stat163  -1.804105e-02  7.895841e-02  0.0509628060  0.0157845185  0.0767583147  0.0170257737
## stat164  -4.558921e-02 -4.856754e-02 -0.0542086834  0.0386247682  0.1660843651  0.0474612137
## stat165  -3.687326e-02  4.570650e-02 -0.0062345176 -0.0849213898  0.0344877423  0.0338528394
## stat166   2.016460e-02 -2.489134e-02 -0.0057845085 -0.0038513818 -0.1191387505 -0.0303320913
## stat167   4.509822e-02  5.208747e-02  0.0401245766  0.0771146266  0.0376630621  0.1017527950
## stat168   3.432716e-02 -1.553598e-02 -0.0448131041  0.0518062817 -0.0031598425 -0.0289736918
## stat169  -1.658791e-02  1.894437e-02 -0.0243817308 -0.0738754827  0.1156836581 -0.0076339690
## stat170   7.624686e-02  8.932392e-02  0.0116149023 -0.0107596766 -0.0592266052 -0.0306313900
## stat171   1.306876e-02 -4.271493e-02  0.0824202700  0.1214243267  0.0046300892  0.0104847448
## stat172   4.074941e-02 -1.720226e-02  0.0450076213 -0.0038603663  0.0103578358  0.0077465895
## stat173  -2.520043e-03 -1.169873e-01  0.0389012458  0.0508556194  0.0069197062  0.0958891758
## stat174  -2.054679e-02 -1.108891e-01 -0.0742488962 -0.0676062716  0.0284712272 -0.0158076709
## stat175   6.043142e-02  1.040339e-01  0.1633996383  0.0896956863 -0.0133967586  0.0145783796
## stat176  -1.311147e-02 -9.973067e-03 -0.1370831183 -0.0103979080 -0.0745426951 -0.1560895061
## stat177  -5.915615e-02 -7.931927e-02 -0.0978788625 -0.0302343571 -0.0385699221  0.0379547342
## stat178  -1.199611e-01 -8.575403e-02  0.0262779006  0.0704123782  0.1012618522  0.0828306311
## stat179  -6.364589e-02 -1.469619e-02 -0.0163024037  0.0821761402  0.0873081628  0.0020827788
## stat180  -7.285344e-02 -4.785916e-02  0.0231369768  0.0905716078  0.0486718793 -0.0973364602
## stat181  -9.326206e-03 -1.359705e-02  0.0564202738 -0.0513861812 -0.0875258095 -0.0045829269
## stat182   4.116711e-02  8.072875e-02 -0.0006763499  0.0054184707 -0.0221971812  0.0709318322
## stat183  -6.198955e-02 -3.343213e-02 -0.0129887888 -0.0175780640 -0.0413373790 -0.0591604083
## stat184   8.618959e-02  1.477174e-02  0.1300526288 -0.0293104367 -0.0140278172 -0.0323005157
## stat185   4.852406e-02  1.462039e-02 -0.0838817157  0.1231453003  0.0649951344 -0.0042900253
## stat186   6.131501e-02  4.416366e-02  0.0503681376 -0.0207197312 -0.0267203540  0.0295689864
## stat187   9.143951e-02  3.618453e-03 -0.0327471799  0.0510990459 -0.1476633055  0.0105507161
## stat188  -7.027411e-02 -7.858488e-02  0.0225649700 -0.0183504203 -0.0204333019  0.1399812631
## stat189   7.762811e-02  4.131593e-02  0.0359128981  0.0751023135  0.0407133918  0.1536420739
## stat190   1.935077e-02 -6.258625e-02 -0.0800133465  0.1281728840  0.0573211464 -0.0232285292
## stat191  -3.967167e-02 -3.145307e-02 -0.0139988508  0.0742796869  0.0362291443 -0.1054385942
## stat192  -5.345331e-02  6.153848e-02  0.0523396421  0.0431895438 -0.1306709619 -0.0309666575
## stat193  -6.772250e-02 -3.547342e-02 -0.0363198745  0.0474709135 -0.0710457364  0.0020269016
## stat194  -1.889942e-02 -9.312420e-02  0.0566993199  0.0175508938 -0.1211513725  0.0689506624
## stat195   6.431426e-02  1.361193e-02  0.0089859324  0.0806589909  0.0075709681  0.0385048505
## stat196   3.433283e-02 -1.237059e-01 -0.0834179752  0.0430138558  0.0023430247 -0.0009756640
## stat197   6.664547e-02  7.512493e-02 -0.0461451185  0.1656166329  0.0479003268 -0.0634346704
## stat198   9.912890e-02  5.898018e-02 -0.0194289915 -0.0450723682 -0.1072002427  0.0405216788
## stat199  -4.536366e-02  4.235294e-02 -0.0434677843 -0.1070801116 -0.0538184989 -0.0353472107
## stat200   1.275497e-01 -3.153857e-02 -0.1619824250 -0.0676535536  0.0585896417 -0.1621891088
## stat201   7.571836e-02 -2.132856e-02  0.1244190262  0.0560608625  0.0876772723  0.0431733428
## stat202   8.327428e-02  9.900851e-02  0.0143901531 -0.0367695730 -0.0324374914  0.0516051469
## stat203   3.425612e-02  8.535592e-02  0.0520798278 -0.0653485149  0.0451075032 -0.0239492102
## stat204   1.708797e-01  1.244003e-01 -0.0960761090 -0.0833868563 -0.0216612082  0.0158732112
## stat205   7.395627e-03 -7.583697e-02  0.0339318937  0.0408766578 -0.0441586723  0.1478506778
## stat206   1.132621e-01 -6.287358e-02  0.0164864330  0.0849883886 -0.0929190254  0.0075770289
## stat207   6.454215e-02  1.560668e-03  0.1492843782  0.0325684988  0.0103621776 -0.0050873524
## stat208  -3.231587e-02 -4.794680e-02  0.0206205174  0.0308789917 -0.0965091889  0.0129358338
## stat209   2.761043e-02 -3.176905e-02 -0.1441484116  0.1465193632  0.0710740277 -0.0090005731
## stat210   4.449593e-02 -3.371789e-02 -0.1270521367  0.0840603190  0.0690742011 -0.0759119492
## stat211  -3.193365e-02  5.057500e-02  0.0039105900 -0.0940116622 -0.0624037534 -0.0279503241
## stat212   2.640972e-02  3.000265e-03 -0.0616115700 -0.0705095823  0.0377682339 -0.1083317823
## stat213   1.609179e-02  1.457910e-02  0.0620487519 -0.0965103037  0.0144320861  0.0929282180
## stat214  -1.181161e-01 -1.874195e-02 -0.0416693943  0.0570788085  0.0598268280  0.0254916200
## stat215  -4.534195e-03  4.081127e-02  0.0664891471  0.0681805891  0.0748518199 -0.0787665624
## stat216  -4.341201e-02 -1.087404e-01  0.0190007930 -0.0132950509  0.1468583341 -0.0418279750
## stat217   1.395179e-02 -1.420540e-02 -0.0871605432  0.0805098615 -0.0755356434  0.0068908325
## x18.sqrt  4.149242e-02 -9.784938e-02  0.0638694348  0.0066699312  0.0025306088 -0.0641368027
#creating dataset
data.pca = dplyr::select(data,!!label.names) %>% 
  dplyr::bind_cols(dplyr::select(as.data.frame(pca.model$x)
                                 ,!!colnames(pca.model$rotation)[pca.model$pcaSel])
  )

Train Test Split

data.pca = data[sample(nrow(data.pca)),] # randomly shuffle data
split = sample.split(data.pca[,label.names], SplitRatio = 0.8)

data.train = subset(data.pca, split == TRUE)
data.test = subset(data.pca, split == FALSE)

Common Functions

plot.diagnostics <-  function(model, train) {
  plot(model)
  
  residuals = resid(model) # Plotted above in plot(lm.out)
  r.standard = rstandard(model)
  r.student = rstudent(model)
  
  df = data.frame(x=predict(model,train),y=r.student)
  p=ggplot(data=df,aes(x=x,y=y)) +
    geom_point(color='blue',alpha=0.5,shape=20,size=2) +
    geom_hline(yintercept = 0,size=1)+
    ylab("Student Residuals") +
    xlab("Predicted Values")+
    ggtitle("Student Residual Plot")
  plot(p)
  
  df = data.frame(x=predict(model,train),y=r.standard)
  p=ggplot(data=df,aes(x=x,y=y)) +
    geom_point(color='blue',alpha=0.5,shape=20,size=2) +
    geom_hline(yintercept = c(-2,0,2),size=1)+
    ylab("Student Residuals") +
    xlab("Predicted Values")+
    ggtitle("Student Residual Plot")
  plot(p)
  # Histogram
  df=data.frame(r.student)
  p=ggplot(data=df,aes(r.student)) +
    geom_histogram(aes(y=..density..),bins = 50,fill='blue',alpha=0.6) + 
    stat_function(fun = dnorm, n = 100, args = list(mean = 0, sd = 1)) +
    ylab("Density")+
    xlab("Studentized Residuals")+
    ggtitle("Distribution of Studentized Residuals")
  plot(p)
  # http://www.stat.columbia.edu/~martin/W2024/R7.pdf
  # Influential plots
  inf.meas = influence.measures(model)
  # print (summary(inf.meas)) # too much data
  
  # Leverage plot
  lev = hat(model.matrix(model))
  df=tibble::rownames_to_column(as.data.frame(lev),'id')
  p=ggplot(data=df,aes(x=as.numeric(id),y=lev)) +
    geom_point(color='blue',alpha=0.5,shape=20,size=2) +
    ylab('Leverage - check') + 
    xlab('Index')
  plot(p)
  # Cook's Distance
  cd = cooks.distance(model)
  df=tibble::rownames_to_column(as.data.frame(cd),'id')
  p=ggplot(data=df,aes(x=as.numeric(id),y=cd)) +
    geom_point(color='blue',alpha=0.5,shape=20,size=2) +
    geom_text(data=filter(df,cd>15/nrow(train)),aes(label=id),check_overlap=T,size=3,vjust=-.5)+
    ylab('Cooks distances') + 
    geom_hline(yintercept = c(4/nrow(train),0),size=1)+
    xlab('Index')
  plot(p)
  print (paste("Number of data points that have Cook's D > 4/n: ", length(cd[cd > 4/nrow(train)]), sep = "")) 
  print (paste("Number of data points that have Cook's D > 1: ", length(cd[cd > 1]), sep = "")) 
  return(cd)
}

# function to set up random seeds
# Based on http://jaehyeon-kim.github.io/2015/05/Setup-Random-Seeds-on-Caret-Package.html 
setCaretSeeds <- function(method = "cv", numbers = 1, repeats = 1, tunes = NULL, seed = 1701) {
  #B is the number of resamples and integer vector of M (numbers + tune length if any)
  B <- if (method == "cv") numbers
  else if(method == "repeatedcv") numbers * repeats
  else NULL
  if(is.null(length)) {
    seeds <- NULL
  } else {
    set.seed(seed = seed)
    seeds <- vector(mode = "list", length = B)
    seeds <- lapply(seeds, function(x) sample.int(n = 1000000
                                                  , size = numbers + ifelse(is.null(tunes), 0, tunes)))
    seeds[[length(seeds) + 1]] <- sample.int(n = 1000000, size = 1)
  }
  # return seeds
  seeds
}



train.caret.glmselect = function(formula, data, method
                                 ,subopt = NULL, feature.names
                                 , train.control = NULL, tune.grid = NULL, pre.proc = NULL){
  
  if(is.null(train.control)){
    train.control <- trainControl(method = "cv"
                              ,number = 10
                              ,seeds = setCaretSeeds(method = "cv"
                                                     , numbers = 10
                                                     , seed = 1701)
                              ,search = "grid"
                              ,verboseIter = TRUE
                              ,allowParallel = TRUE
                              )
  }
  
  if(is.null(tune.grid)){
    if (method == 'leapForward' | method == 'leapBackward' | method == 'leapSeq'){
      tune.grid = data.frame(nvmax = 1:length(feature.names))
    }
    if (method == 'glmnet' && subopt == 'LASSO'){
      # Will only show 1 Lambda value during training, but that is OK
      # https://stackoverflow.com/questions/47526544/why-need-to-tune-lambda-with-carettrain-method-glmnet-and-cv-glmnet
      # Another option for LASSO is this: https://github.com/topepo/caret/blob/master/RegressionTests/Code/lasso.R
      lambda = 10^seq(-2,0, length =100)
      alpha = c(1)
      tune.grid = expand.grid(alpha = alpha,lambda = lambda)
    }
    if (method == 'lars'){
      # https://github.com/topepo/caret/blob/master/RegressionTests/Code/lars.R
      fraction = seq(0, 1, length = 100)
      tune.grid = expand.grid(fraction = fraction)
      pre.proc = c("center", "scale") 
    }
  }
  
  # http://sshaikh.org/2015/05/06/parallelize-machine-learning-in-r-with-multi-core-cpus/
  cl <- makeCluster(ceiling(detectCores()*0.85)) # use 75% of cores only, leave rest for other tasks
  registerDoParallel(cl)

  set.seed(1) 
  # note that the seed has to actually be set just before this function is called
  # settign is above just not ensure reproducibility for some reason
  model.caret <- caret::train(formula
                              , data = data
                              , method = method
                              , tuneGrid = tune.grid
                              , trControl = train.control
                              , preProc = pre.proc
                              )
  
  stopCluster(cl)
  registerDoSEQ() # register sequential engine in case you are not using this function anymore
  
  if (method == 'leapForward' | method == 'leapBackward' | method == 'leapSeq'){
    print("All models results")
    print(model.caret$results) # all model results
    print("Best Model")
    print(model.caret$bestTune) # best model
    model = model.caret$finalModel

    # Metrics Plot 
    dataPlot = model.caret$results %>%
      gather(key='metric',value='value',-nvmax) %>%
      dplyr::filter(metric %in% c('MAE','RMSE','Rsquared'))
    metricsPlot = ggplot(data=dataPlot,aes(x=nvmax,y=value) ) +
      geom_line(color='lightblue4') +
      geom_point(color='blue',alpha=0.7,size=.9) +
      facet_wrap(~metric,ncol=2,scales='free_y')+
      theme_light()
    plot(metricsPlot)
    
    # Residuals Plot
    # leap function does not support studentized residuals
    dataPlot=data.frame(pred=predict(model.caret,data),res=resid(model.caret))
    residPlot = ggplot(dataPlot,aes(x=pred,y=res)) +
      geom_point(color='light blue',alpha=0.7) +
      geom_smooth(method="lm")+
      theme_light()
    plot(residPlot)
   
    residHistogram = ggplot(dataPlot,aes(x=res)) +
      geom_histogram(aes(y=..density..),fill='light blue',alpha=1) +
      #geom_density(color='lightblue4') + 
      stat_function(fun = dnorm, n = 100, args = list(mean = mean(dataPlot$res)
                                                       , sd = sd(dataPlot$res)),color='lightblue4')  
      theme_light()
    plot(residHistogram)
    id = rownames(model.caret$bestTune)    
    # Provides the coefficients of the best model
    # regsubsets doens return a full model (see documentation of regsubset), so we need to recalcualte themodel
    # https://stackoverflow.com/questions/13063762/how-to-obtain-a-lm-object-from-regsubsets
    print("Coefficients of final model:")
    coefs <- coef(model, id=id)
    #calculate the model to the the coef intervals
    nams <- names(coefs)
    nams <- nams[!nams %in% "(Intercept)"]
    response <-  as.character(formula[[2]])
    form <- as.formula(paste(response, paste(nams, collapse = " + "), sep = " ~ "))
    mod <- lm(form, data = data)
    #coefs
    #coef(mod)
    print(car::Confint(mod))
    return(list(model = model,id = id, residPlot = residPlot, residHistogram=residHistogram
                ,modelLM=mod))
  }
  if (method == 'glmnet' && subopt == 'LASSO'){
    print(model.caret)
    print(plot(model.caret))
    print(model.caret$bestTune)
    
    print(model.caret$results)
    model=model.caret$finalModel
    # Metrics Plot 
    dataPlot = model.caret$results %>%
      gather(key='metric',value='value',-lambda) %>%
      dplyr::filter(metric %in% c('MAE','RMSE','Rsquared'))
    metricsPlot = ggplot(data=dataPlot,aes(x=lambda,y=value) ) +
      geom_line(color='lightblue4') +
      geom_point(color='blue',alpha=0.7,size=.9) +
      facet_wrap(~metric,ncol=2,scales='free_y')+
      theme_light()
    plot(metricsPlot)
    
    # Residuals Plot 
    dataPlot=data.frame(pred=predict(model.caret,data),res=resid(model.caret))
    residPlot = ggplot(dataPlot,aes(x=pred,y=res)) +
      geom_point(color='light blue',alpha=0.7) +
      geom_smooth(method="lm")+
      theme_light()
    plot(residPlot)

    residHistogram = ggplot(dataPlot,aes(x=res)) +
      geom_histogram(aes(y=..density..),fill='light blue',alpha=1) +
      #geom_density(color='lightblue4') +
      stat_function(fun = dnorm, n = 100, args = list(mean = mean(dataPlot$res)
                                                       , sd = sd(dataPlot$res)),color='lightblue4')  
      theme_light()
    plot(residHistogram)
    
    print("Coefficients") 
    #no interval for glmnet: https://stackoverflow.com/questions/39750965/confidence-intervals-for-ridge-regression
    t=coef(model,s=model.caret$bestTune$lambda)
    model.coef = t[which(t[,1]!=0),]
    print(as.data.frame(model.coef))
    id = NULL # not really needed but added for consistency
    return(list(model = model.caret,id = id, residPlot = residPlot, metricsPlot=metricsPlot ))
  }
  if (method == 'lars'){
    print(model.caret)
    print(plot(model.caret))
    print(model.caret$bestTune)
    
    # Metrics Plot
    dataPlot = model.caret$results %>%
        gather(key='metric',value='value',-fraction) %>%
      dplyr::filter(metric %in% c('MAE','RMSE','Rsquared'))
    metricsPlot = ggplot(data=dataPlot,aes(x=fraction,y=value) ) +
      geom_line(color='lightblue4') +
      geom_point(color='blue',alpha=0.7,size=.9) +
      facet_wrap(~metric,ncol=2,scales='free_y')+
      theme_light()
    plot(metricsPlot)
    
    # Residuals Plot
    dataPlot=data.frame(pred=predict(model.caret,data),res=resid(model.caret))
    residPlot = ggplot(dataPlot,aes(x=pred,y=res)) +
      geom_point(color='light blue',alpha=0.7) +
      geom_smooth(method="lm")+
      theme_light()
    plot(residPlot)

    residHistogram = ggplot(dataPlot,aes(x=res)) +
      geom_histogram(aes(y=..density..),fill='light blue',alpha=1) +
      #geom_density(color='lightblue4') + 
      stat_function(fun = dnorm, n = 100, args = list(mean = mean(dataPlot$res)
                                                       , sd = sd(dataPlot$res)),color='lightblue4')  
      theme_light()
    plot(residHistogram)
    
    print("Coefficients") 
    t=coef(model.caret$finalModel,s=model.caret$bestTune$fraction,mode='fraction')
    model.coef = t[which(t!=0)]
    print(model.coef)
    id = NULL # not really needed but added for consistency
    return(list(model = model.caret,id = id, residPlot = residPlot, residHistogram=residHistogram))
  }
}

# https://stackoverflow.com/questions/48265743/linear-model-subset-selection-goodness-of-fit-with-k-fold-cross-validation
# changed slightly since call[[2]] was just returning "formula" without actually returnign the value in formula
predict.regsubsets <- function(object, newdata, id, formula, ...) {
    #form <- as.formula(object$call[[2]])
    mat <- model.matrix(formula, newdata) # adds intercept and expands any interaction terms
    coefi <- coef(object, id = id)
    xvars <- names(coefi)
    return(mat[,xvars]%*%coefi)
}
  
test.model = function(model, test, level=0.95
                      ,draw.limits = FALSE, good = 0.1, ok = 0.15
                      ,method = NULL, subopt = NULL
                      ,id = NULL, formula, feature.names, label.names
                      ,transformation = NULL){
  ## if using caret for glm select equivalent functionality, 
  ## need to pass formula (full is ok as it will select subset of variables from there)
  if (is.null(method)){
    pred = predict(model, newdata=test, interval="confidence", level = level) 
  }
  
  if (method == 'leapForward' | method == 'leapBackward' | method == 'leapSeq'){
    pred = predict.regsubsets(model, newdata = test, id = id, formula = formula)
  }
  
  if (method == 'glmnet' && subopt == 'LASSO'){
    xtest = as.matrix(test[,feature.names]) 
    pred=as.data.frame(predict(model, xtest))
  }
  
  if (method == 'lars'){
    pred=as.data.frame(predict(model, newdata = test))
  }
    
  # Summary of predicted values
  print ("Summary of predicted values: ")
  print(summary(pred[,1]))

  test.mse = mean((test[,label.names]-pred[,1])^2)
  print (paste(method, subopt, "Test MSE:", test.mse, sep=" "))
  
  if(log.pred == TRUE || norm.pred == TRUE){
    # plot transformewd comparison first
    df=data.frame(x=test[,label.names],y=pred[,1])
    ggplot(df,aes(x=x,y=y)) +
      geom_point(color='blue',alpha=0.5,shape=20,size=2) +
      geom_abline(slope=1,intercept=0,color='black',size=1) +
      #scale_y_continuous(limits=c(min(df),max(df)))+
      xlab("Actual (Transformed)")+
      ylab("Predicted (Transformed)")
  }
    
  if (log.pred == FALSE && norm.pred == FALSE){
    x = test[,label.names]
    y = pred[,1]
  }
  if (log.pred == TRUE){
    x = 10^test[,label.names]
    y = 10^pred[,1]  
  }
  if (norm.pred == TRUE){
    x = predict(transformation, test[,label.names], inverse = TRUE)
    y = predict(transformation, pred[,1], inverse = TRUE)
  }

  df=data.frame(x,y)
  ggplot(df,aes(x,y)) +
    geom_point(color='blue',alpha=0.5,shape=20,size=2) +
    geom_abline(slope=c(1+good,1-good,1+ok,1-ok)
                ,intercept=rep(0,4),color=c('dark green','dark green','dark red','dark red'),size=1,alpha=0.8) +
    #scale_y_continuous(limits=c(min(df),max(df)))+
    xlab("Actual")+
    ylab("Predicted") 
    
 
}

Setup Formulae

n <- names(data.train)
 formula <- as.formula(paste(paste(n[n %in% label.names], collapse = " + ")
                             ," ~", paste(n[!n %in% label.names], collapse = " + "))) 

grand.mean.formula = as.formula(paste(paste(n[n %in% label.names], collapse = " + ")," ~ 1"))

print(formula)
## y3.log ~ x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 + 
##     x12 + x13 + x14 + x15 + x16 + x17 + x19 + x20 + x21 + x22 + 
##     x23 + stat1 + stat2 + stat3 + stat4 + stat5 + stat6 + stat7 + 
##     stat8 + stat9 + stat10 + stat11 + stat12 + stat13 + stat14 + 
##     stat15 + stat16 + stat17 + stat18 + stat19 + stat20 + stat21 + 
##     stat22 + stat23 + stat24 + stat25 + stat26 + stat27 + stat28 + 
##     stat29 + stat30 + stat31 + stat32 + stat33 + stat34 + stat35 + 
##     stat36 + stat37 + stat38 + stat39 + stat40 + stat41 + stat42 + 
##     stat43 + stat44 + stat45 + stat46 + stat47 + stat48 + stat49 + 
##     stat50 + stat51 + stat52 + stat53 + stat54 + stat55 + stat56 + 
##     stat57 + stat58 + stat59 + stat60 + stat61 + stat62 + stat63 + 
##     stat64 + stat65 + stat66 + stat67 + stat68 + stat69 + stat70 + 
##     stat71 + stat72 + stat73 + stat74 + stat75 + stat76 + stat77 + 
##     stat78 + stat79 + stat80 + stat81 + stat82 + stat83 + stat84 + 
##     stat85 + stat86 + stat87 + stat88 + stat89 + stat90 + stat91 + 
##     stat92 + stat93 + stat94 + stat95 + stat96 + stat97 + stat98 + 
##     stat99 + stat100 + stat101 + stat102 + stat103 + stat104 + 
##     stat105 + stat106 + stat107 + stat108 + stat109 + stat110 + 
##     stat111 + stat112 + stat113 + stat114 + stat115 + stat116 + 
##     stat117 + stat118 + stat119 + stat120 + stat121 + stat122 + 
##     stat123 + stat124 + stat125 + stat126 + stat127 + stat128 + 
##     stat129 + stat130 + stat131 + stat132 + stat133 + stat134 + 
##     stat135 + stat136 + stat137 + stat138 + stat139 + stat140 + 
##     stat141 + stat142 + stat143 + stat144 + stat145 + stat146 + 
##     stat147 + stat148 + stat149 + stat150 + stat151 + stat152 + 
##     stat153 + stat154 + stat155 + stat156 + stat157 + stat158 + 
##     stat159 + stat160 + stat161 + stat162 + stat163 + stat164 + 
##     stat165 + stat166 + stat167 + stat168 + stat169 + stat170 + 
##     stat171 + stat172 + stat173 + stat174 + stat175 + stat176 + 
##     stat177 + stat178 + stat179 + stat180 + stat181 + stat182 + 
##     stat183 + stat184 + stat185 + stat186 + stat187 + stat188 + 
##     stat189 + stat190 + stat191 + stat192 + stat193 + stat194 + 
##     stat195 + stat196 + stat197 + stat198 + stat199 + stat200 + 
##     stat201 + stat202 + stat203 + stat204 + stat205 + stat206 + 
##     stat207 + stat208 + stat209 + stat210 + stat211 + stat212 + 
##     stat213 + stat214 + stat215 + stat216 + stat217 + x18.sqrt
print(grand.mean.formula)
## y3.log ~ 1
# Update feature.names because we may have transformed some features
feature.names = n[!n %in% label.names]

Full Model

model.full = lm(formula , data.train)
summary(model.full)
## 
## Call:
## lm(formula = formula, data = data.train)
## 
## Residuals:
##       Min        1Q    Median        3Q       Max 
## -0.087790 -0.020521 -0.004714  0.016662  0.159351 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  1.970e+00  9.469e-03 208.031  < 2e-16 ***
## x1          -6.875e-05  6.514e-04  -0.106 0.915943    
## x2           4.046e-04  4.177e-04   0.969 0.332785    
## x3           2.609e-05  1.142e-04   0.228 0.819343    
## x4          -5.445e-05  9.015e-06  -6.040 1.65e-09 ***
## x5           3.372e-04  2.952e-04   1.142 0.253437    
## x6           5.357e-04  5.952e-04   0.900 0.368142    
## x7           1.138e-02  6.377e-04  17.842  < 2e-16 ***
## x8           3.744e-04  1.480e-04   2.530 0.011439 *  
## x9           3.188e-03  3.305e-04   9.646  < 2e-16 ***
## x10          1.111e-03  3.079e-04   3.609 0.000310 ***
## x11          1.714e+05  7.327e+04   2.340 0.019332 *  
## x12         -1.744e-04  1.883e-04  -0.926 0.354398    
## x13          5.803e-05  7.474e-05   0.776 0.437570    
## x14         -4.724e-04  3.222e-04  -1.466 0.142617    
## x15          3.963e-04  3.081e-04   1.286 0.198366    
## x16          7.984e-04  2.126e-04   3.755 0.000175 ***
## x17          1.432e-03  3.243e-04   4.416 1.02e-05 ***
## x19          1.729e-04  1.652e-04   1.047 0.295369    
## x20         -6.344e-04  1.148e-03  -0.553 0.580448    
## x21          1.445e-04  4.198e-05   3.442 0.000581 ***
## x22         -3.157e-04  3.443e-04  -0.917 0.359213    
## x23          4.404e-05  3.286e-04   0.134 0.893385    
## stat1       -1.822e-04  2.483e-04  -0.734 0.462967    
## stat2        1.467e-04  2.461e-04   0.596 0.551067    
## stat3        3.431e-04  2.473e-04   1.387 0.165437    
## stat4       -5.715e-04  2.486e-04  -2.299 0.021552 *  
## stat5       -3.114e-04  2.474e-04  -1.259 0.208167    
## stat6       -2.738e-04  2.476e-04  -1.106 0.268768    
## stat7       -1.120e-04  2.482e-04  -0.451 0.651817    
## stat8        2.294e-04  2.489e-04   0.922 0.356831    
## stat9        6.876e-05  2.461e-04   0.279 0.779934    
## stat10      -3.776e-05  2.473e-04  -0.153 0.878631    
## stat11      -2.589e-04  2.509e-04  -1.032 0.302085    
## stat12       1.796e-04  2.481e-04   0.724 0.469286    
## stat13      -5.746e-04  2.453e-04  -2.343 0.019169 *  
## stat14      -1.001e-03  2.469e-04  -4.053 5.12e-05 ***
## stat15      -1.434e-04  2.453e-04  -0.584 0.558915    
## stat16      -2.676e-05  2.481e-04  -0.108 0.914127    
## stat17      -2.092e-04  2.454e-04  -0.852 0.394052    
## stat18      -1.851e-04  2.469e-04  -0.750 0.453549    
## stat19       7.791e-05  2.446e-04   0.319 0.750095    
## stat20      -3.289e-04  2.473e-04  -1.330 0.183586    
## stat21      -1.824e-04  2.476e-04  -0.737 0.461407    
## stat22      -4.280e-04  2.467e-04  -1.735 0.082797 .  
## stat23       6.412e-04  2.462e-04   2.605 0.009223 ** 
## stat24      -5.935e-04  2.472e-04  -2.401 0.016375 *  
## stat25      -5.027e-04  2.457e-04  -2.046 0.040790 *  
## stat26      -4.465e-04  2.477e-04  -1.803 0.071510 .  
## stat27       1.587e-04  2.467e-04   0.643 0.519942    
## stat28       1.040e-04  2.481e-04   0.419 0.675164    
## stat29       2.090e-04  2.492e-04   0.839 0.401640    
## stat30       3.128e-04  2.501e-04   1.251 0.211104    
## stat31      -1.615e-04  2.497e-04  -0.647 0.517700    
## stat32       1.137e-05  2.506e-04   0.045 0.963807    
## stat33      -2.695e-04  2.473e-04  -1.090 0.275856    
## stat34       1.406e-04  2.459e-04   0.572 0.567560    
## stat35      -4.585e-04  2.480e-04  -1.849 0.064565 .  
## stat36      -2.043e-04  2.464e-04  -0.829 0.407034    
## stat37      -5.047e-04  2.491e-04  -2.026 0.042776 *  
## stat38       5.782e-05  2.485e-04   0.233 0.816027    
## stat39      -1.208e-04  2.457e-04  -0.492 0.622873    
## stat40       1.602e-04  2.483e-04   0.645 0.518939    
## stat41      -6.164e-04  2.462e-04  -2.503 0.012331 *  
## stat42      -1.103e-04  2.468e-04  -0.447 0.654990    
## stat43      -3.934e-04  2.483e-04  -1.585 0.113116    
## stat44       1.676e-05  2.480e-04   0.068 0.946099    
## stat45      -1.565e-04  2.462e-04  -0.636 0.525053    
## stat46       3.396e-04  2.473e-04   1.374 0.169646    
## stat47       2.950e-04  2.494e-04   1.183 0.236878    
## stat48       2.600e-04  2.467e-04   1.054 0.291971    
## stat49       7.408e-05  2.460e-04   0.301 0.763343    
## stat50       2.825e-04  2.448e-04   1.154 0.248659    
## stat51       3.813e-04  2.475e-04   1.540 0.123536    
## stat52       1.571e-04  2.479e-04   0.634 0.526284    
## stat53      -2.557e-04  2.500e-04  -1.023 0.306465    
## stat54      -4.243e-04  2.489e-04  -1.705 0.088316 .  
## stat55       2.774e-04  2.454e-04   1.130 0.258433    
## stat56      -2.860e-04  2.481e-04  -1.153 0.249030    
## stat57       6.872e-05  2.446e-04   0.281 0.778717    
## stat58       2.393e-04  2.446e-04   0.978 0.327948    
## stat59       4.209e-04  2.487e-04   1.692 0.090687 .  
## stat60       4.380e-04  2.495e-04   1.756 0.079175 .  
## stat61       1.849e-06  2.480e-04   0.007 0.994051    
## stat62       5.518e-05  2.472e-04   0.223 0.823371    
## stat63       1.627e-04  2.504e-04   0.650 0.515850    
## stat64      -1.790e-04  2.470e-04  -0.725 0.468720    
## stat65      -3.782e-04  2.492e-04  -1.517 0.129200    
## stat66       1.695e-04  2.527e-04   0.671 0.502278    
## stat67       1.701e-04  2.477e-04   0.687 0.492327    
## stat68      -6.913e-05  2.480e-04  -0.279 0.780464    
## stat69       1.919e-04  2.469e-04   0.777 0.437014    
## stat70       8.695e-05  2.470e-04   0.352 0.724834    
## stat71      -3.863e-05  2.457e-04  -0.157 0.875043    
## stat72       3.121e-04  2.479e-04   1.259 0.208067    
## stat73       3.755e-04  2.495e-04   1.505 0.132334    
## stat74      -2.071e-04  2.479e-04  -0.835 0.403674    
## stat75      -1.151e-04  2.498e-04  -0.461 0.645096    
## stat76       1.450e-04  2.468e-04   0.588 0.556866    
## stat77      -2.794e-04  2.485e-04  -1.124 0.260954    
## stat78      -2.863e-04  2.484e-04  -1.153 0.249060    
## stat79      -6.347e-05  2.468e-04  -0.257 0.797029    
## stat80       1.381e-04  2.485e-04   0.556 0.578361    
## stat81       2.620e-04  2.486e-04   1.054 0.291893    
## stat82       2.354e-04  2.455e-04   0.959 0.337687    
## stat83       3.367e-05  2.477e-04   0.136 0.891889    
## stat84      -2.227e-04  2.471e-04  -0.901 0.367382    
## stat85      -1.910e-05  2.487e-04  -0.077 0.938798    
## stat86       1.999e-04  2.477e-04   0.807 0.419643    
## stat87      -1.903e-04  2.488e-04  -0.765 0.444466    
## stat88      -1.622e-04  2.435e-04  -0.666 0.505264    
## stat89      -1.810e-04  2.458e-04  -0.736 0.461559    
## stat90      -3.024e-04  2.484e-04  -1.217 0.223580    
## stat91      -5.075e-04  2.454e-04  -2.068 0.038693 *  
## stat92      -2.590e-04  2.473e-04  -1.047 0.295134    
## stat93      -3.048e-04  2.503e-04  -1.218 0.223323    
## stat94      -1.919e-04  2.479e-04  -0.774 0.438924    
## stat95       3.935e-05  2.484e-04   0.158 0.874122    
## stat96      -2.172e-04  2.458e-04  -0.884 0.376921    
## stat97       6.804e-05  2.469e-04   0.276 0.782895    
## stat98       3.507e-03  2.444e-04  14.351  < 2e-16 ***
## stat99       3.155e-04  2.488e-04   1.268 0.204754    
## stat100      7.802e-04  2.465e-04   3.165 0.001560 ** 
## stat101     -2.134e-04  2.503e-04  -0.853 0.393756    
## stat102      1.265e-04  2.489e-04   0.508 0.611404    
## stat103     -3.971e-04  2.490e-04  -1.594 0.110892    
## stat104     -4.051e-04  2.464e-04  -1.644 0.100139    
## stat105      4.281e-04  2.460e-04   1.740 0.081925 .  
## stat106     -3.522e-04  2.462e-04  -1.431 0.152601    
## stat107     -1.174e-05  2.459e-04  -0.048 0.961921    
## stat108     -2.974e-04  2.466e-04  -1.206 0.227981    
## stat109     -4.193e-06  2.457e-04  -0.017 0.986385    
## stat110     -3.298e-03  2.459e-04 -13.411  < 2e-16 ***
## stat111     -1.204e-04  2.470e-04  -0.488 0.625836    
## stat112     -2.939e-04  2.502e-04  -1.175 0.240151    
## stat113     -2.056e-04  2.484e-04  -0.828 0.407880    
## stat114      3.119e-04  2.464e-04   1.266 0.205729    
## stat115      7.628e-05  2.476e-04   0.308 0.757998    
## stat116      1.780e-04  2.489e-04   0.715 0.474476    
## stat117      6.357e-05  2.484e-04   0.256 0.798054    
## stat118     -2.053e-04  2.460e-04  -0.834 0.404175    
## stat119      4.778e-05  2.469e-04   0.194 0.846534    
## stat120      8.390e-05  2.462e-04   0.341 0.733310    
## stat121     -2.703e-04  2.475e-04  -1.092 0.274827    
## stat122     -3.042e-04  2.463e-04  -1.235 0.216861    
## stat123      5.896e-06  2.500e-04   0.024 0.981183    
## stat124     -1.755e-04  2.473e-04  -0.710 0.477952    
## stat125     -1.152e-05  2.481e-04  -0.046 0.962962    
## stat126      1.528e-04  2.452e-04   0.623 0.533335    
## stat127      4.626e-05  2.479e-04   0.187 0.851982    
## stat128      6.080e-05  2.476e-04   0.246 0.806030    
## stat129      2.103e-04  2.466e-04   0.853 0.393691    
## stat130      2.428e-04  2.485e-04   0.977 0.328519    
## stat131      3.363e-04  2.483e-04   1.354 0.175643    
## stat132     -9.678e-05  2.470e-04  -0.392 0.695204    
## stat133     -1.024e-04  2.471e-04  -0.414 0.678605    
## stat134     -1.514e-04  2.467e-04  -0.614 0.539384    
## stat135      2.167e-05  2.473e-04   0.088 0.930164    
## stat136      5.831e-05  2.475e-04   0.236 0.813721    
## stat137      1.727e-05  2.459e-04   0.070 0.944004    
## stat138      6.790e-05  2.476e-04   0.274 0.783895    
## stat139      2.208e-04  2.494e-04   0.885 0.376007    
## stat140      6.425e-06  2.462e-04   0.026 0.979184    
## stat141      1.313e-04  2.473e-04   0.531 0.595450    
## stat142      1.174e-04  2.502e-04   0.469 0.639021    
## stat143      4.126e-05  2.476e-04   0.167 0.867656    
## stat144      3.594e-04  2.465e-04   1.458 0.144853    
## stat145     -7.790e-05  2.512e-04  -0.310 0.756455    
## stat146     -4.421e-04  2.483e-04  -1.781 0.075043 .  
## stat147     -2.573e-04  2.512e-04  -1.024 0.305699    
## stat148     -3.464e-04  2.442e-04  -1.418 0.156188    
## stat149     -6.713e-04  2.488e-04  -2.698 0.006996 ** 
## stat150      5.836e-05  2.481e-04   0.235 0.814036    
## stat151     -2.212e-04  2.492e-04  -0.888 0.374742    
## stat152     -1.464e-04  2.469e-04  -0.593 0.553307    
## stat153     -2.034e-04  2.518e-04  -0.808 0.419180    
## stat154      7.513e-05  2.485e-04   0.302 0.762392    
## stat155     -3.400e-04  2.467e-04  -1.379 0.168094    
## stat156      5.754e-04  2.509e-04   2.294 0.021840 *  
## stat157     -9.609e-05  2.453e-04  -0.392 0.695235    
## stat158      6.422e-05  2.506e-04   0.256 0.797769    
## stat159      5.681e-05  2.453e-04   0.232 0.816876    
## stat160      1.849e-04  2.489e-04   0.743 0.457755    
## stat161      1.828e-04  2.482e-04   0.736 0.461575    
## stat162     -1.556e-04  2.450e-04  -0.635 0.525334    
## stat163     -4.061e-05  2.498e-04  -0.163 0.870895    
## stat164      1.986e-04  2.497e-04   0.795 0.426392    
## stat165     -2.873e-04  2.447e-04  -1.174 0.240451    
## stat166     -3.691e-05  2.457e-04  -0.150 0.880583    
## stat167     -7.926e-05  2.468e-04  -0.321 0.748084    
## stat168     -2.477e-04  2.460e-04  -1.007 0.314129    
## stat169     -1.262e-04  2.479e-04  -0.509 0.610834    
## stat170     -2.508e-04  2.475e-04  -1.013 0.311026    
## stat171      2.669e-04  2.498e-04   1.069 0.285241    
## stat172      1.535e-04  2.470e-04   0.622 0.534134    
## stat173     -2.550e-04  2.490e-04  -1.024 0.305824    
## stat174      2.071e-04  2.486e-04   0.833 0.405035    
## stat175     -3.037e-04  2.480e-04  -1.225 0.220714    
## stat176      1.699e-04  2.476e-04   0.686 0.492557    
## stat177     -6.734e-05  2.478e-04  -0.272 0.785837    
## stat178     -1.873e-04  2.497e-04  -0.750 0.453234    
## stat179     -2.269e-05  2.465e-04  -0.092 0.926662    
## stat180     -3.943e-04  2.454e-04  -1.607 0.108183    
## stat181      2.956e-04  2.499e-04   1.183 0.237021    
## stat182      1.180e-04  2.491e-04   0.474 0.635838    
## stat183      2.252e-04  2.450e-04   0.919 0.357992    
## stat184     -3.300e-05  2.490e-04  -0.133 0.894557    
## stat185     -4.606e-06  2.456e-04  -0.019 0.985039    
## stat186     -2.337e-04  2.491e-04  -0.938 0.348180    
## stat187     -2.899e-04  2.461e-04  -1.178 0.238771    
## stat188     -1.494e-04  2.466e-04  -0.606 0.544589    
## stat189      1.148e-04  2.479e-04   0.463 0.643194    
## stat190      1.268e-04  2.470e-04   0.513 0.607734    
## stat191     -4.050e-04  2.486e-04  -1.629 0.103337    
## stat192     -1.126e-04  2.484e-04  -0.453 0.650520    
## stat193      4.553e-07  2.502e-04   0.002 0.998548    
## stat194      8.995e-05  2.463e-04   0.365 0.715034    
## stat195      3.262e-04  2.473e-04   1.319 0.187149    
## stat196     -1.622e-04  2.501e-04  -0.648 0.516725    
## stat197      1.417e-04  2.451e-04   0.578 0.563201    
## stat198     -2.471e-04  2.476e-04  -0.998 0.318254    
## stat199     -2.617e-05  2.461e-04  -0.106 0.915317    
## stat200     -8.303e-05  2.446e-04  -0.339 0.734313    
## stat201     -2.069e-04  2.466e-04  -0.839 0.401434    
## stat202     -3.130e-04  2.495e-04  -1.255 0.209705    
## stat203      1.458e-04  2.483e-04   0.587 0.557160    
## stat204     -6.651e-04  2.459e-04  -2.704 0.006866 ** 
## stat205     -9.348e-05  2.471e-04  -0.378 0.705250    
## stat206      3.486e-05  2.492e-04   0.140 0.888753    
## stat207      2.672e-04  2.463e-04   1.085 0.278069    
## stat208      1.457e-04  2.479e-04   0.588 0.556706    
## stat209     -2.876e-04  2.459e-04  -1.169 0.242309    
## stat210      6.745e-05  2.486e-04   0.271 0.786126    
## stat211      1.573e-05  2.466e-04   0.064 0.949143    
## stat212     -1.182e-04  2.470e-04  -0.479 0.632303    
## stat213     -3.536e-04  2.496e-04  -1.416 0.156712    
## stat214     -3.929e-04  2.487e-04  -1.580 0.114210    
## stat215     -1.864e-04  2.464e-04  -0.756 0.449394    
## stat216     -9.204e-05  2.475e-04  -0.372 0.709991    
## stat217      4.742e-04  2.484e-04   1.909 0.056280 .  
## x18.sqrt     2.660e-02  9.477e-04  28.072  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.03134 on 5343 degrees of freedom
## Multiple R-squared:  0.272,  Adjusted R-squared:  0.2393 
## F-statistic: 8.317 on 240 and 5343 DF,  p-value: < 2.2e-16
cd.full = plot.diagnostics(model=model.full, train=data.train)

## [1] "Number of data points that have Cook's D > 4/n: 288"
## [1] "Number of data points that have Cook's D > 1: 0"

Checking with removal of high influence points

high.cd = names(cd.full[cd.full > 4/nrow(data.train)])

#save dataset with high.cd flagged
t = data.train %>% 
  rownames_to_column() %>%
  mutate(high.cd = ifelse(rowname %in% high.cd,1,0))
write.csv(t,file='data_high_cd_flag.csv',row.names = F)
###
data.train2 = data.train[!(rownames(data.train)) %in% high.cd,]
model.full2 = lm(formula , data.train2)
summary(model.full2)
## 
## Call:
## lm(formula = formula, data = data.train2)
## 
## Residuals:
##       Min        1Q    Median        3Q       Max 
## -0.057191 -0.017273 -0.002512  0.016683  0.071119 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  1.958e+00  7.804e-03 250.888  < 2e-16 ***
## x1          -2.153e-04  5.368e-04  -0.401  0.68834    
## x2           4.797e-04  3.432e-04   1.398  0.16229    
## x3          -2.247e-05  9.355e-05  -0.240  0.81015    
## x4          -5.830e-05  7.433e-06  -7.844 5.29e-15 ***
## x5           5.739e-04  2.421e-04   2.370  0.01782 *  
## x6           1.762e-04  4.893e-04   0.360  0.71879    
## x7           1.195e-02  5.245e-04  22.779  < 2e-16 ***
## x8           5.157e-04  1.218e-04   4.234 2.34e-05 ***
## x9           3.241e-03  2.712e-04  11.949  < 2e-16 ***
## x10          1.508e-03  2.535e-04   5.950 2.87e-09 ***
## x11          1.941e+05  6.039e+04   3.213  0.00132 ** 
## x12          7.673e-05  1.545e-04   0.497  0.61946    
## x13          1.114e-04  6.149e-05   1.811  0.07019 .  
## x14         -2.515e-04  2.645e-04  -0.951  0.34161    
## x15          3.666e-04  2.524e-04   1.452  0.14645    
## x16          7.824e-04  1.749e-04   4.474 7.84e-06 ***
## x17          1.475e-03  2.665e-04   5.536 3.26e-08 ***
## x19          1.449e-04  1.357e-04   1.068  0.28550    
## x20         -9.261e-04  9.450e-04  -0.980  0.32714    
## x21          1.363e-04  3.448e-05   3.952 7.84e-05 ***
## x22         -3.502e-04  2.825e-04  -1.240  0.21518    
## x23          2.982e-04  2.706e-04   1.102  0.27056    
## stat1       -1.789e-04  2.036e-04  -0.879  0.37959    
## stat2        3.537e-04  2.020e-04   1.751  0.08008 .  
## stat3        3.184e-04  2.035e-04   1.565  0.11762    
## stat4       -6.669e-04  2.050e-04  -3.254  0.00115 ** 
## stat5       -3.027e-04  2.035e-04  -1.488  0.13684    
## stat6       -4.424e-04  2.032e-04  -2.177  0.02953 *  
## stat7       -2.132e-04  2.035e-04  -1.047  0.29495    
## stat8        1.243e-05  2.045e-04   0.061  0.95151    
## stat9        3.033e-05  2.022e-04   0.150  0.88081    
## stat10       4.248e-06  2.025e-04   0.021  0.98326    
## stat11      -2.815e-04  2.060e-04  -1.366  0.17189    
## stat12       2.009e-04  2.038e-04   0.986  0.32412    
## stat13      -5.151e-04  2.013e-04  -2.559  0.01054 *  
## stat14      -1.103e-03  2.029e-04  -5.435 5.75e-08 ***
## stat15      -3.862e-04  2.019e-04  -1.913  0.05578 .  
## stat16      -1.842e-04  2.035e-04  -0.905  0.36531    
## stat17      -2.617e-04  2.021e-04  -1.295  0.19536    
## stat18      -9.741e-05  2.028e-04  -0.480  0.63099    
## stat19       7.765e-05  2.016e-04   0.385  0.70014    
## stat20       1.682e-04  2.032e-04   0.828  0.40787    
## stat21      -1.355e-04  2.035e-04  -0.666  0.50549    
## stat22      -3.244e-04  2.023e-04  -1.603  0.10895    
## stat23       6.712e-04  2.028e-04   3.310  0.00094 ***
## stat24      -6.094e-04  2.033e-04  -2.998  0.00273 ** 
## stat25      -4.335e-04  2.022e-04  -2.144  0.03207 *  
## stat26      -5.229e-04  2.040e-04  -2.563  0.01039 *  
## stat27       1.550e-04  2.035e-04   0.762  0.44627    
## stat28       8.251e-05  2.041e-04   0.404  0.68608    
## stat29       1.722e-04  2.048e-04   0.841  0.40049    
## stat30       1.523e-04  2.053e-04   0.742  0.45807    
## stat31      -9.278e-06  2.051e-04  -0.045  0.96391    
## stat32       2.850e-05  2.064e-04   0.138  0.89016    
## stat33      -1.402e-04  2.031e-04  -0.690  0.49007    
## stat34       3.622e-04  2.024e-04   1.790  0.07356 .  
## stat35      -5.216e-04  2.040e-04  -2.557  0.01058 *  
## stat36      -1.924e-04  2.026e-04  -0.950  0.34227    
## stat37      -2.170e-04  2.048e-04  -1.060  0.28924    
## stat38       1.122e-04  2.037e-04   0.551  0.58172    
## stat39      -9.340e-05  2.018e-04  -0.463  0.64354    
## stat40       7.828e-05  2.046e-04   0.383  0.70204    
## stat41      -6.465e-04  2.021e-04  -3.198  0.00139 ** 
## stat42      -1.031e-04  2.030e-04  -0.508  0.61153    
## stat43      -3.425e-04  2.041e-04  -1.678  0.09349 .  
## stat44       2.995e-05  2.039e-04   0.147  0.88322    
## stat45      -1.072e-04  2.021e-04  -0.530  0.59584    
## stat46       7.285e-05  2.035e-04   0.358  0.72043    
## stat47       4.319e-04  2.049e-04   2.108  0.03505 *  
## stat48       2.849e-04  2.023e-04   1.409  0.15898    
## stat49      -1.676e-04  2.023e-04  -0.829  0.40729    
## stat50       2.698e-04  2.012e-04   1.341  0.17992    
## stat51       1.722e-04  2.036e-04   0.846  0.39772    
## stat52       1.638e-04  2.037e-04   0.804  0.42153    
## stat53      -3.143e-04  2.056e-04  -1.529  0.12639    
## stat54      -3.946e-04  2.049e-04  -1.926  0.05417 .  
## stat55       4.763e-05  2.019e-04   0.236  0.81351    
## stat56      -1.236e-04  2.038e-04  -0.606  0.54444    
## stat57      -1.106e-04  2.015e-04  -0.549  0.58298    
## stat58       2.664e-04  2.005e-04   1.329  0.18383    
## stat59       3.894e-04  2.046e-04   1.903  0.05710 .  
## stat60       4.578e-04  2.049e-04   2.234  0.02550 *  
## stat61      -8.386e-05  2.038e-04  -0.411  0.68074    
## stat62      -1.192e-04  2.026e-04  -0.588  0.55644    
## stat63       2.142e-04  2.057e-04   1.041  0.29778    
## stat64       1.061e-04  2.026e-04   0.524  0.60048    
## stat65      -1.878e-04  2.048e-04  -0.917  0.35927    
## stat66       1.631e-04  2.076e-04   0.786  0.43207    
## stat67       2.707e-04  2.036e-04   1.330  0.18360    
## stat68      -1.494e-04  2.038e-04  -0.733  0.46358    
## stat69      -5.792e-05  2.032e-04  -0.285  0.77559    
## stat70       1.270e-04  2.029e-04   0.626  0.53139    
## stat71       1.222e-04  2.024e-04   0.603  0.54625    
## stat72       2.010e-04  2.036e-04   0.987  0.32356    
## stat73       3.781e-04  2.057e-04   1.838  0.06616 .  
## stat74      -7.996e-05  2.039e-04  -0.392  0.69492    
## stat75       1.245e-04  2.052e-04   0.607  0.54401    
## stat76       1.137e-04  2.028e-04   0.561  0.57514    
## stat77       4.593e-07  2.043e-04   0.002  0.99821    
## stat78      -5.097e-04  2.035e-04  -2.504  0.01230 *  
## stat79       1.187e-04  2.023e-04   0.587  0.55742    
## stat80       1.883e-04  2.040e-04   0.923  0.35609    
## stat81       1.901e-04  2.045e-04   0.930  0.35246    
## stat82       7.349e-05  2.020e-04   0.364  0.71596    
## stat83       5.446e-05  2.033e-04   0.268  0.78881    
## stat84      -2.118e-04  2.031e-04  -1.043  0.29711    
## stat85      -4.218e-04  2.047e-04  -2.060  0.03942 *  
## stat86       2.840e-04  2.039e-04   1.393  0.16378    
## stat87      -1.339e-04  2.040e-04  -0.656  0.51160    
## stat88       1.129e-06  2.004e-04   0.006  0.99551    
## stat89       7.160e-05  2.024e-04   0.354  0.72352    
## stat90      -3.964e-04  2.040e-04  -1.943  0.05209 .  
## stat91      -4.711e-04  2.010e-04  -2.344  0.01912 *  
## stat92      -1.594e-04  2.029e-04  -0.786  0.43219    
## stat93      -1.931e-04  2.064e-04  -0.935  0.34964    
## stat94      -1.522e-04  2.028e-04  -0.750  0.45303    
## stat95       2.656e-04  2.045e-04   1.299  0.19402    
## stat96      -1.959e-04  2.022e-04  -0.969  0.33281    
## stat97       2.543e-04  2.028e-04   1.254  0.20980    
## stat98       3.405e-03  2.010e-04  16.935  < 2e-16 ***
## stat99       4.557e-04  2.046e-04   2.228  0.02594 *  
## stat100      8.089e-04  2.027e-04   3.991 6.66e-05 ***
## stat101     -2.299e-05  2.058e-04  -0.112  0.91106    
## stat102      1.210e-04  2.049e-04   0.591  0.55478    
## stat103     -4.278e-04  2.042e-04  -2.095  0.03620 *  
## stat104     -3.061e-04  2.031e-04  -1.507  0.13184    
## stat105      4.465e-04  2.024e-04   2.206  0.02746 *  
## stat106     -3.900e-04  2.021e-04  -1.930  0.05367 .  
## stat107     -4.123e-05  2.020e-04  -0.204  0.83830    
## stat108     -3.134e-04  2.029e-04  -1.544  0.12255    
## stat109     -1.372e-04  2.020e-04  -0.679  0.49711    
## stat110     -3.208e-03  2.019e-04 -15.886  < 2e-16 ***
## stat111     -1.495e-04  2.025e-04  -0.738  0.46042    
## stat112     -4.427e-04  2.060e-04  -2.149  0.03171 *  
## stat113     -1.650e-05  2.040e-04  -0.081  0.93556    
## stat114      3.056e-04  2.027e-04   1.508  0.13168    
## stat115      2.109e-07  2.036e-04   0.001  0.99917    
## stat116      1.316e-04  2.046e-04   0.643  0.51997    
## stat117     -9.500e-05  2.038e-04  -0.466  0.64122    
## stat118      1.246e-04  2.021e-04   0.617  0.53751    
## stat119      2.238e-04  2.026e-04   1.104  0.26955    
## stat120      9.639e-07  2.025e-04   0.005  0.99620    
## stat121     -2.081e-04  2.035e-04  -1.023  0.30651    
## stat122     -1.978e-04  2.028e-04  -0.975  0.32942    
## stat123      2.194e-04  2.053e-04   1.069  0.28516    
## stat124     -2.777e-04  2.031e-04  -1.367  0.17155    
## stat125     -6.277e-05  2.039e-04  -0.308  0.75819    
## stat126      2.175e-04  2.015e-04   1.079  0.28049    
## stat127     -9.208e-05  2.033e-04  -0.453  0.65071    
## stat128     -2.145e-04  2.034e-04  -1.055  0.29166    
## stat129      2.281e-04  2.025e-04   1.127  0.25990    
## stat130      1.169e-04  2.040e-04   0.573  0.56659    
## stat131      2.712e-04  2.035e-04   1.332  0.18277    
## stat132     -1.317e-04  2.029e-04  -0.649  0.51648    
## stat133      1.149e-04  2.035e-04   0.564  0.57255    
## stat134     -3.503e-05  2.025e-04  -0.173  0.86262    
## stat135     -1.150e-04  2.031e-04  -0.566  0.57152    
## stat136     -2.122e-05  2.031e-04  -0.104  0.91679    
## stat137      1.985e-04  2.020e-04   0.983  0.32567    
## stat138     -1.656e-05  2.035e-04  -0.081  0.93513    
## stat139      3.385e-05  2.051e-04   0.165  0.86890    
## stat140      5.464e-05  2.022e-04   0.270  0.78694    
## stat141      2.350e-04  2.030e-04   1.158  0.24700    
## stat142      1.757e-04  2.059e-04   0.853  0.39364    
## stat143      1.477e-05  2.039e-04   0.072  0.94224    
## stat144      4.040e-04  2.026e-04   1.994  0.04619 *  
## stat145     -2.367e-05  2.067e-04  -0.115  0.90883    
## stat146     -5.328e-04  2.039e-04  -2.614  0.00899 ** 
## stat147     -1.616e-04  2.067e-04  -0.782  0.43435    
## stat148     -2.228e-04  2.008e-04  -1.109  0.26735    
## stat149     -7.558e-04  2.050e-04  -3.687  0.00023 ***
## stat150     -2.100e-04  2.042e-04  -1.028  0.30382    
## stat151      1.472e-04  2.051e-04   0.718  0.47297    
## stat152     -2.149e-04  2.027e-04  -1.060  0.28912    
## stat153      1.519e-04  2.065e-04   0.736  0.46194    
## stat154      2.831e-04  2.046e-04   1.383  0.16668    
## stat155     -2.079e-04  2.029e-04  -1.025  0.30558    
## stat156      4.035e-04  2.059e-04   1.959  0.05012 .  
## stat157     -1.269e-04  2.015e-04  -0.630  0.52870    
## stat158      2.408e-04  2.058e-04   1.170  0.24199    
## stat159      1.591e-04  2.016e-04   0.789  0.43002    
## stat160      5.330e-05  2.050e-04   0.260  0.79490    
## stat161      1.407e-04  2.043e-04   0.689  0.49100    
## stat162     -6.442e-06  2.009e-04  -0.032  0.97442    
## stat163     -2.909e-05  2.061e-04  -0.141  0.88780    
## stat164      1.302e-04  2.055e-04   0.634  0.52635    
## stat165     -9.396e-05  2.012e-04  -0.467  0.64047    
## stat166      4.036e-05  2.015e-04   0.200  0.84123    
## stat167     -8.971e-05  2.029e-04  -0.442  0.65842    
## stat168     -2.183e-04  2.021e-04  -1.080  0.28006    
## stat169     -9.377e-05  2.045e-04  -0.458  0.64662    
## stat170     -5.387e-05  2.037e-04  -0.264  0.79142    
## stat171      1.064e-04  2.054e-04   0.518  0.60444    
## stat172      4.405e-04  2.027e-04   2.173  0.02979 *  
## stat173     -2.053e-05  2.043e-04  -0.100  0.91996    
## stat174      3.249e-04  2.043e-04   1.591  0.11178    
## stat175     -1.044e-04  2.037e-04  -0.513  0.60822    
## stat176     -1.881e-04  2.036e-04  -0.924  0.35564    
## stat177     -4.450e-04  2.036e-04  -2.186  0.02883 *  
## stat178     -1.377e-04  2.049e-04  -0.672  0.50173    
## stat179      4.000e-05  2.025e-04   0.198  0.84339    
## stat180     -2.037e-04  2.025e-04  -1.006  0.31447    
## stat181      2.715e-04  2.053e-04   1.322  0.18613    
## stat182      2.826e-04  2.052e-04   1.377  0.16855    
## stat183      2.355e-04  2.015e-04   1.169  0.24250    
## stat184      7.741e-05  2.044e-04   0.379  0.70496    
## stat185      1.245e-04  2.021e-04   0.616  0.53777    
## stat186      1.901e-05  2.047e-04   0.093  0.92603    
## stat187     -1.916e-04  2.021e-04  -0.948  0.34314    
## stat188     -1.153e-04  2.027e-04  -0.569  0.56951    
## stat189     -9.714e-05  2.044e-04  -0.475  0.63456    
## stat190     -5.304e-05  2.030e-04  -0.261  0.79390    
## stat191     -2.952e-04  2.041e-04  -1.446  0.14819    
## stat192     -1.477e-05  2.045e-04  -0.072  0.94240    
## stat193      1.515e-04  2.059e-04   0.736  0.46171    
## stat194     -1.569e-04  2.029e-04  -0.773  0.43932    
## stat195      7.721e-05  2.036e-04   0.379  0.70457    
## stat196     -1.569e-04  2.051e-04  -0.765  0.44417    
## stat197     -5.094e-05  2.016e-04  -0.253  0.80052    
## stat198     -2.133e-04  2.034e-04  -1.048  0.29450    
## stat199      7.116e-05  2.018e-04   0.353  0.72434    
## stat200     -2.118e-04  2.017e-04  -1.050  0.29370    
## stat201     -1.078e-04  2.031e-04  -0.531  0.59574    
## stat202     -2.108e-04  2.053e-04  -1.027  0.30447    
## stat203      1.357e-04  2.041e-04   0.665  0.50626    
## stat204     -2.541e-04  2.026e-04  -1.255  0.20967    
## stat205      1.489e-04  2.025e-04   0.735  0.46210    
## stat206     -1.463e-04  2.048e-04  -0.715  0.47495    
## stat207      3.554e-04  2.026e-04   1.755  0.07936 .  
## stat208      2.201e-04  2.042e-04   1.078  0.28123    
## stat209     -1.502e-04  2.021e-04  -0.743  0.45728    
## stat210     -1.467e-04  2.041e-04  -0.719  0.47234    
## stat211      1.101e-07  2.027e-04   0.001  0.99957    
## stat212      2.845e-05  2.031e-04   0.140  0.88858    
## stat213     -2.865e-04  2.051e-04  -1.397  0.16260    
## stat214     -1.736e-04  2.044e-04  -0.850  0.39563    
## stat215     -1.955e-04  2.029e-04  -0.963  0.33537    
## stat216     -1.771e-04  2.030e-04  -0.873  0.38293    
## stat217      4.254e-04  2.042e-04   2.083  0.03726 *  
## x18.sqrt     2.659e-02  7.772e-04  34.209  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.02505 on 5055 degrees of freedom
## Multiple R-squared:  0.3739, Adjusted R-squared:  0.3442 
## F-statistic: 12.58 on 240 and 5055 DF,  p-value: < 2.2e-16
cd.full2 = plot.diagnostics(model.full2, data.train2)

## [1] "Number of data points that have Cook's D > 4/n: 280"
## [1] "Number of data points that have Cook's D > 1: 0"
# much more normal residuals than before. 
# Checking to see if distributions are different and if so whcih variables
# High Leverage Plot 
plotData = data.train %>% 
  rownames_to_column() %>%
  mutate(type=ifelse(rowname %in% high.cd,'High','Normal')) %>%
  dplyr::select(type,target=one_of(label.names))

ggplot(data=plotData, aes(x=type,y=target)) +
  geom_boxplot(fill='light blue',outlier.shape=NA) +
  scale_y_continuous(name="Target Variable Values",label=scales::comma_format(accuracy=.1)) +
  theme_light() +
  ggtitle('Distribution of High Leverage Points and Normal  Points')

# 2 sample t-tests

plotData = data.train %>% 
  rownames_to_column() %>%
  mutate(type=ifelse(rowname %in% high.cd,'High','Normal')) %>%
  dplyr::select(type,one_of(feature.names))

comp.test = lapply(dplyr::select(plotData, one_of(feature.names))
                   , function(x) t.test(x ~ plotData$type, var.equal = TRUE)) 

sig.comp = list.filter(comp.test, p.value < 0.05)
sapply(sig.comp, function(x) x[['p.value']])
##          x13       stat19       stat85       stat98      stat110      stat128      stat146      stat151      stat170 
## 3.359554e-02 2.259607e-02 2.327147e-02 8.755716e-06 3.281339e-04 2.242415e-04 3.912634e-02 1.276976e-02 3.055927e-02 
##      stat172     x18.sqrt 
## 3.472633e-02 8.943334e-03
mm = melt(plotData, id=c('type')) %>% filter(variable %in% names(sig.comp))

ggplot(mm,aes(x=type, y=value)) +
  geom_boxplot()+
  facet_wrap(~variable, ncol=5, scales = 'free_y') +
  scale_y_continuous(name="values",label=scales::comma_format(accuracy=.1)) +
  ggtitle('Distribution of High Leverage Points and Normal Points')

# Distribution (box) Plots
mm = melt(plotData, id=c('type'))

ggplot(mm,aes(x=type, y=value)) +
  geom_boxplot()+
  facet_wrap(~variable, ncol=8, scales = 'free_y') +
  scale_y_continuous(name="values",label=scales::comma_format(accuracy=.1)) +
  ggtitle('Distribution of High Leverage Points and Normal Points')

Grand Means Model

model.null = lm(grand.mean.formula, data.train)
summary(model.null)
## 
## Call:
## lm(formula = grand.mean.formula, data = data.train)
## 
## Residuals:
##       Min        1Q    Median        3Q       Max 
## -0.114992 -0.023860 -0.002993  0.020575  0.174910 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 2.0968675  0.0004808    4361   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.03593 on 5583 degrees of freedom

Variable Selection

Basic: http://www.stat.columbia.edu/~martin/W2024/R10.pdf Cross Validation + Other Metrics: http://www.sthda.com/english/articles/37-model-selection-essentials-in-r/154-stepwise-regression-essentials-in-r/

Forward Selection with CV

Train

if (algo.forward.caret == TRUE){
  set.seed(1)
  returned = train.caret.glmselect(formula = formula
                                   , data = data.train
                                   , method = "leapForward"
                                   , feature.names = feature.names)
  model.forward = returned$model
  id = returned$id
}
## Aggregating results
## Selecting tuning parameters
## Fitting nvmax = 11 on full training set
## [1] "All models results"
##     nvmax       RMSE  Rsquared        MAE       RMSESD RsquaredSD        MAESD
## 1       1 0.03389262 0.1107374 0.02638098 0.0006522431 0.01843699 0.0004657941
## 2       2 0.03307022 0.1535661 0.02570143 0.0007777253 0.02125833 0.0006093741
## 3       3 0.03251205 0.1824264 0.02515777 0.0007730663 0.02790904 0.0005946623
## 4       4 0.03203058 0.2063268 0.02453996 0.0007618678 0.02742323 0.0006125272
## 5       5 0.03175409 0.2198443 0.02433833 0.0007521550 0.02365268 0.0005893048
## 6       6 0.03164410 0.2252731 0.02426658 0.0007067374 0.02069752 0.0005718563
## 7       7 0.03167451 0.2237877 0.02430027 0.0007134016 0.02161979 0.0006044690
## 8       8 0.03162055 0.2265125 0.02428486 0.0007295711 0.02287693 0.0005987685
## 9       9 0.03155615 0.2297157 0.02422169 0.0007806923 0.02479613 0.0006297838
## 10     10 0.03155548 0.2298092 0.02421996 0.0007214398 0.02383271 0.0005854693
## 11     11 0.03154196 0.2304901 0.02420858 0.0007129736 0.02369648 0.0005638611
## 12     12 0.03157136 0.2290734 0.02422468 0.0007175387 0.02209994 0.0005662709
## 13     13 0.03157326 0.2289631 0.02424003 0.0006890899 0.02081163 0.0005325302
## 14     14 0.03157408 0.2288482 0.02424375 0.0006872834 0.02012904 0.0005257180
## 15     15 0.03156500 0.2293447 0.02422559 0.0007011488 0.02021158 0.0005422081
## 16     16 0.03156692 0.2292913 0.02421692 0.0007047558 0.01964155 0.0005341416
## 17     17 0.03157406 0.2290131 0.02421312 0.0007224985 0.01997446 0.0005265877
## 18     18 0.03156651 0.2293337 0.02420193 0.0007170687 0.01830741 0.0005263061
## 19     19 0.03154426 0.2304284 0.02418362 0.0007083238 0.01837859 0.0005279866
## 20     20 0.03156336 0.2295238 0.02420827 0.0007248759 0.01924171 0.0005474819
## 21     21 0.03159354 0.2281295 0.02422863 0.0007258288 0.02029223 0.0005583579
## 22     22 0.03158827 0.2284198 0.02423897 0.0007322096 0.02047236 0.0005712637
## 23     23 0.03158918 0.2284546 0.02422965 0.0007397660 0.02140798 0.0005825951
## 24     24 0.03156738 0.2294569 0.02421477 0.0007204914 0.02062076 0.0005591127
## 25     25 0.03158046 0.2288811 0.02424395 0.0007370698 0.01940678 0.0005602539
## 26     26 0.03156660 0.2296202 0.02424118 0.0007475190 0.02005125 0.0005655149
## 27     27 0.03157535 0.2292097 0.02425496 0.0007620121 0.02091631 0.0005994477
## 28     28 0.03157245 0.2293569 0.02425905 0.0007539778 0.02078355 0.0006000104
## 29     29 0.03157606 0.2292309 0.02427772 0.0007456688 0.02121314 0.0005949577
## 30     30 0.03158297 0.2289855 0.02427458 0.0007424941 0.02120135 0.0005905713
## 31     31 0.03159641 0.2284016 0.02427954 0.0007294122 0.02068815 0.0005790158
## 32     32 0.03162840 0.2269521 0.02430767 0.0007352183 0.02067730 0.0005812586
## 33     33 0.03163171 0.2269222 0.02431474 0.0007451232 0.02212524 0.0005848146
## 34     34 0.03165120 0.2260814 0.02433254 0.0007545036 0.02282494 0.0005976554
## 35     35 0.03165677 0.2257806 0.02433627 0.0007670402 0.02282972 0.0006149066
## 36     36 0.03165992 0.2256477 0.02433483 0.0007757491 0.02300518 0.0006239556
## 37     37 0.03166073 0.2256000 0.02433813 0.0007776993 0.02251088 0.0006295498
## 38     38 0.03169350 0.2241666 0.02437638 0.0007785527 0.02202197 0.0006242243
## 39     39 0.03170841 0.2234815 0.02438115 0.0007746087 0.02145523 0.0006218006
## 40     40 0.03172080 0.2229621 0.02438731 0.0007762988 0.02190566 0.0006237509
## 41     41 0.03171933 0.2230222 0.02438021 0.0007870144 0.02199319 0.0006318247
## 42     42 0.03173215 0.2224369 0.02438865 0.0007887085 0.02184682 0.0006332416
## 43     43 0.03173805 0.2221917 0.02439324 0.0007844157 0.02225580 0.0006386062
## 44     44 0.03174866 0.2217454 0.02439946 0.0007925515 0.02205424 0.0006406263
## 45     45 0.03175382 0.2215894 0.02441245 0.0007919993 0.02228831 0.0006324808
## 46     46 0.03176008 0.2213054 0.02441978 0.0008012386 0.02215076 0.0006444014
## 47     47 0.03177571 0.2206776 0.02442649 0.0008048797 0.02241642 0.0006426561
## 48     48 0.03178057 0.2204795 0.02443155 0.0007964909 0.02258343 0.0006338613
## 49     49 0.03179672 0.2197388 0.02443360 0.0007995788 0.02267451 0.0006244367
## 50     50 0.03181036 0.2191674 0.02445138 0.0007983631 0.02292363 0.0006280739
## 51     51 0.03183012 0.2182995 0.02445626 0.0007799544 0.02233104 0.0006117159
## 52     52 0.03184665 0.2176371 0.02447949 0.0007916784 0.02267022 0.0006194747
## 53     53 0.03187557 0.2163804 0.02450370 0.0007910934 0.02222590 0.0006221402
## 54     54 0.03188452 0.2160411 0.02450243 0.0007948626 0.02260704 0.0006285390
## 55     55 0.03190424 0.2151724 0.02451560 0.0007967573 0.02274345 0.0006338123
## 56     56 0.03191153 0.2148899 0.02452341 0.0007871291 0.02235004 0.0006410270
## 57     57 0.03192564 0.2142624 0.02452632 0.0007792204 0.02183397 0.0006373998
## 58     58 0.03193314 0.2139404 0.02452961 0.0007865110 0.02187050 0.0006531216
## 59     59 0.03195015 0.2131738 0.02454439 0.0007753268 0.02163585 0.0006557963
## 60     60 0.03195640 0.2129078 0.02454641 0.0007774081 0.02152700 0.0006510219
## 61     61 0.03196346 0.2126280 0.02454408 0.0007752047 0.02150169 0.0006492815
## 62     62 0.03197592 0.2121158 0.02455345 0.0007787450 0.02153486 0.0006472016
## 63     63 0.03197501 0.2121812 0.02455545 0.0007837428 0.02211224 0.0006522922
## 64     64 0.03197631 0.2121295 0.02455476 0.0007854134 0.02220941 0.0006528830
## 65     65 0.03197725 0.2120342 0.02455636 0.0007788172 0.02182623 0.0006393144
## 66     66 0.03197269 0.2122167 0.02456108 0.0007740063 0.02169081 0.0006406713
## 67     67 0.03198506 0.2116904 0.02456877 0.0007839419 0.02211752 0.0006520579
## 68     68 0.03199413 0.2112616 0.02458253 0.0007859389 0.02239952 0.0006499410
## 69     69 0.03199373 0.2113137 0.02457883 0.0007798220 0.02205815 0.0006385058
## 70     70 0.03199677 0.2112019 0.02457828 0.0007698666 0.02177686 0.0006251077
## 71     71 0.03199485 0.2113026 0.02458069 0.0007730486 0.02175998 0.0006162567
## 72     72 0.03200907 0.2107239 0.02458530 0.0007669151 0.02173014 0.0006092107
## 73     73 0.03200855 0.2107544 0.02459189 0.0007757266 0.02215077 0.0006122265
## 74     74 0.03201117 0.2106437 0.02459826 0.0007800256 0.02242840 0.0006149851
## 75     75 0.03201431 0.2105191 0.02460003 0.0007845042 0.02257636 0.0006234061
## 76     76 0.03201160 0.2106621 0.02460640 0.0007867395 0.02262212 0.0006221411
## 77     77 0.03201266 0.2106268 0.02460864 0.0007886349 0.02265895 0.0006271847
## 78     78 0.03202110 0.2102683 0.02460766 0.0007773304 0.02259104 0.0006266930
## 79     79 0.03202476 0.2101262 0.02461330 0.0007777689 0.02258518 0.0006284273
## 80     80 0.03202903 0.2099449 0.02461587 0.0007674038 0.02217838 0.0006157880
## 81     81 0.03203439 0.2097460 0.02461984 0.0007694261 0.02247091 0.0006160833
## 82     82 0.03203382 0.2097776 0.02462296 0.0007794749 0.02305641 0.0006279420
## 83     83 0.03204315 0.2093723 0.02463137 0.0007730535 0.02275154 0.0006261352
## 84     84 0.03204357 0.2093814 0.02462948 0.0007692575 0.02281881 0.0006261303
## 85     85 0.03203773 0.2096284 0.02462763 0.0007668067 0.02279669 0.0006276699
## 86     86 0.03203401 0.2097795 0.02462317 0.0007593516 0.02250249 0.0006268781
## 87     87 0.03204387 0.2093783 0.02463290 0.0007672806 0.02266784 0.0006240430
## 88     88 0.03203691 0.2096838 0.02462673 0.0007756540 0.02282587 0.0006247119
## 89     89 0.03204180 0.2094776 0.02462968 0.0007624696 0.02266256 0.0006148940
## 90     90 0.03205013 0.2091577 0.02463574 0.0007552168 0.02248753 0.0006034368
## 91     91 0.03204325 0.2094303 0.02463652 0.0007551801 0.02249424 0.0006064418
## 92     92 0.03204110 0.2095022 0.02463821 0.0007564882 0.02269060 0.0006096217
## 93     93 0.03204804 0.2091832 0.02464576 0.0007642170 0.02263359 0.0006153836
## 94     94 0.03205150 0.2090376 0.02465272 0.0007614395 0.02282187 0.0006116581
## 95     95 0.03205771 0.2087716 0.02466657 0.0007685122 0.02292044 0.0006146102
## 96     96 0.03206383 0.2085595 0.02467353 0.0007704949 0.02286605 0.0006184227
## 97     97 0.03207374 0.2081871 0.02467893 0.0007669434 0.02296847 0.0006139094
## 98     98 0.03206930 0.2083985 0.02467383 0.0007598021 0.02256854 0.0006110285
## 99     99 0.03206030 0.2087952 0.02466112 0.0007621025 0.02276911 0.0006118157
## 100   100 0.03206239 0.2087650 0.02466531 0.0007631129 0.02287832 0.0006166457
## 101   101 0.03206401 0.2086989 0.02466818 0.0007695363 0.02327026 0.0006213793
## 102   102 0.03206894 0.2085221 0.02467414 0.0007649475 0.02340219 0.0006172890
## 103   103 0.03206915 0.2084901 0.02467590 0.0007673951 0.02338727 0.0006181730
## 104   104 0.03207108 0.2084366 0.02467206 0.0007713758 0.02359671 0.0006210283
## 105   105 0.03206698 0.2086246 0.02467290 0.0007651343 0.02360692 0.0006239227
## 106   106 0.03207714 0.2081655 0.02468269 0.0007701618 0.02334966 0.0006278058
## 107   107 0.03207889 0.2081224 0.02468436 0.0007700058 0.02322265 0.0006331312
## 108   108 0.03208110 0.2080548 0.02468898 0.0007715476 0.02330884 0.0006352272
## 109   109 0.03208564 0.2078974 0.02468895 0.0007688552 0.02350125 0.0006335068
## 110   110 0.03208484 0.2079583 0.02469073 0.0007684368 0.02358449 0.0006320604
## 111   111 0.03209115 0.2076804 0.02469429 0.0007641568 0.02359484 0.0006285761
## 112   112 0.03210008 0.2072880 0.02469761 0.0007561856 0.02346173 0.0006254599
## 113   113 0.03210582 0.2070602 0.02469876 0.0007538455 0.02351254 0.0006296495
## 114   114 0.03211036 0.2068609 0.02470260 0.0007508418 0.02332469 0.0006273500
## 115   115 0.03211472 0.2066601 0.02470800 0.0007480500 0.02327718 0.0006297465
## 116   116 0.03212181 0.2063789 0.02471166 0.0007585094 0.02373405 0.0006370484
## 117   117 0.03212937 0.2060703 0.02472076 0.0007564734 0.02385289 0.0006314804
## 118   118 0.03213464 0.2058998 0.02472557 0.0007585941 0.02417185 0.0006337082
## 119   119 0.03212276 0.2064290 0.02471104 0.0007574814 0.02427740 0.0006302112
## 120   120 0.03212236 0.2064681 0.02471002 0.0007543792 0.02424200 0.0006289935
## 121   121 0.03211955 0.2066522 0.02470603 0.0007491022 0.02428806 0.0006278584
## 122   122 0.03212870 0.2062503 0.02471278 0.0007494040 0.02425334 0.0006252750
## 123   123 0.03213217 0.2061358 0.02471091 0.0007524542 0.02455365 0.0006276453
## 124   124 0.03212654 0.2063931 0.02471048 0.0007617639 0.02466606 0.0006353973
## 125   125 0.03213110 0.2061848 0.02471517 0.0007597298 0.02465370 0.0006329262
## 126   126 0.03213655 0.2059573 0.02472117 0.0007567765 0.02454004 0.0006249616
## 127   127 0.03214156 0.2057590 0.02472606 0.0007571636 0.02442825 0.0006195472
## 128   128 0.03214168 0.2057691 0.02472654 0.0007544975 0.02463043 0.0006124497
## 129   129 0.03213917 0.2058760 0.02472679 0.0007578545 0.02479207 0.0006105473
## 130   130 0.03214027 0.2058703 0.02472381 0.0007589384 0.02477514 0.0006084672
## 131   131 0.03214948 0.2055264 0.02472998 0.0007602427 0.02493383 0.0006110121
## 132   132 0.03214754 0.2055897 0.02473569 0.0007564237 0.02486737 0.0006106477
## 133   133 0.03214923 0.2055522 0.02474112 0.0007509921 0.02463704 0.0006068702
## 134   134 0.03214591 0.2056965 0.02473626 0.0007521630 0.02477664 0.0006059703
## 135   135 0.03214476 0.2057035 0.02473412 0.0007506465 0.02478002 0.0006095934
## 136   136 0.03213873 0.2059317 0.02473443 0.0007521115 0.02446884 0.0006141233
## 137   137 0.03213892 0.2059276 0.02473378 0.0007433840 0.02420227 0.0006064884
## 138   138 0.03214101 0.2058565 0.02473078 0.0007358587 0.02392864 0.0005985141
## 139   139 0.03214038 0.2059084 0.02473152 0.0007380682 0.02401814 0.0006029309
## 140   140 0.03213963 0.2059209 0.02472860 0.0007366739 0.02412524 0.0006026217
## 141   141 0.03213712 0.2060562 0.02472461 0.0007408668 0.02416180 0.0006095230
## 142   142 0.03213206 0.2062776 0.02471759 0.0007470103 0.02438694 0.0006185876
## 143   143 0.03213143 0.2063054 0.02471905 0.0007427978 0.02407153 0.0006179216
## 144   144 0.03212694 0.2064889 0.02471576 0.0007437024 0.02426400 0.0006163579
## 145   145 0.03212649 0.2064974 0.02471591 0.0007421961 0.02415725 0.0006126216
## 146   146 0.03212387 0.2066081 0.02471277 0.0007484210 0.02392050 0.0006125326
## 147   147 0.03212841 0.2064177 0.02471639 0.0007536749 0.02413867 0.0006185756
## 148   148 0.03212876 0.2064184 0.02471613 0.0007501964 0.02419231 0.0006157088
## 149   149 0.03212223 0.2066948 0.02471618 0.0007470898 0.02430866 0.0006142094
## 150   150 0.03212757 0.2064647 0.02472051 0.0007449857 0.02420860 0.0006140338
## 151   151 0.03212061 0.2067597 0.02471559 0.0007439006 0.02430151 0.0006130492
## 152   152 0.03211941 0.2068092 0.02471305 0.0007487717 0.02448898 0.0006154598
## 153   153 0.03212053 0.2067751 0.02471206 0.0007479705 0.02432463 0.0006134153
## 154   154 0.03212253 0.2067065 0.02471682 0.0007460765 0.02417727 0.0006117524
## 155   155 0.03212490 0.2066088 0.02471968 0.0007462854 0.02404273 0.0006063273
## 156   156 0.03213089 0.2063489 0.02472253 0.0007436778 0.02386817 0.0006051497
## 157   157 0.03213119 0.2063593 0.02472286 0.0007451780 0.02410671 0.0006079654
## 158   158 0.03212722 0.2064945 0.02471998 0.0007391939 0.02380983 0.0006010202
## 159   159 0.03212709 0.2065100 0.02471618 0.0007364383 0.02384113 0.0006009256
## 160   160 0.03212378 0.2066799 0.02470548 0.0007309626 0.02377727 0.0005991584
## 161   161 0.03212690 0.2065313 0.02470692 0.0007280906 0.02353383 0.0005948796
## 162   162 0.03212607 0.2065556 0.02470793 0.0007243702 0.02338628 0.0005927453
## 163   163 0.03212730 0.2064982 0.02470824 0.0007214078 0.02335850 0.0005895246
## 164   164 0.03213011 0.2063875 0.02471193 0.0007152918 0.02318670 0.0005910299
## 165   165 0.03212962 0.2064030 0.02471428 0.0007210162 0.02322081 0.0005892562
## 166   166 0.03213054 0.2063542 0.02471802 0.0007210902 0.02309933 0.0005908111
## 167   167 0.03212708 0.2065094 0.02471525 0.0007151715 0.02283863 0.0005888532
## 168   168 0.03212814 0.2064668 0.02471721 0.0007213572 0.02311703 0.0005917779
## 169   169 0.03213288 0.2062512 0.02472036 0.0007247685 0.02317635 0.0005932638
## 170   170 0.03213220 0.2062923 0.02471969 0.0007222271 0.02315388 0.0005900226
## 171   171 0.03213426 0.2061920 0.02472193 0.0007259244 0.02309488 0.0005935151
## 172   172 0.03213216 0.2062855 0.02472161 0.0007279163 0.02313882 0.0005913237
## 173   173 0.03212780 0.2064950 0.02471934 0.0007276880 0.02319942 0.0005911671
## 174   174 0.03212592 0.2065835 0.02471966 0.0007269775 0.02337697 0.0005930050
## 175   175 0.03212919 0.2064497 0.02472361 0.0007288483 0.02349788 0.0005969331
## 176   176 0.03212498 0.2066179 0.02472028 0.0007300817 0.02359109 0.0005990690
## 177   177 0.03212447 0.2066279 0.02471997 0.0007328130 0.02357492 0.0005997371
## 178   178 0.03212460 0.2066435 0.02472257 0.0007308067 0.02353279 0.0005980228
## 179   179 0.03211966 0.2068668 0.02471943 0.0007344497 0.02365057 0.0005986615
## 180   180 0.03212345 0.2067046 0.02472209 0.0007317950 0.02354773 0.0005965431
## 181   181 0.03212416 0.2066744 0.02472113 0.0007332329 0.02374549 0.0005996148
## 182   182 0.03212624 0.2065701 0.02472119 0.0007329079 0.02355686 0.0006005722
## 183   183 0.03212291 0.2067106 0.02471790 0.0007355610 0.02354040 0.0006046783
## 184   184 0.03212163 0.2067514 0.02471943 0.0007370687 0.02368380 0.0006046984
## 185   185 0.03212317 0.2067045 0.02472064 0.0007375554 0.02374050 0.0006053190
## 186   186 0.03211928 0.2068657 0.02471635 0.0007408047 0.02372763 0.0006069212
## 187   187 0.03211922 0.2068702 0.02471649 0.0007414333 0.02383931 0.0006099567
## 188   188 0.03212219 0.2067518 0.02472037 0.0007390872 0.02387212 0.0006098114
## 189   189 0.03212454 0.2066545 0.02472041 0.0007402202 0.02392888 0.0006107112
## 190   190 0.03212149 0.2067808 0.02471847 0.0007440113 0.02398452 0.0006147095
## 191   191 0.03212298 0.2067257 0.02471771 0.0007442826 0.02398951 0.0006140418
## 192   192 0.03212279 0.2067393 0.02471832 0.0007429165 0.02397257 0.0006142717
## 193   193 0.03212049 0.2068400 0.02471873 0.0007441163 0.02400649 0.0006163243
## 194   194 0.03212257 0.2067607 0.02472049 0.0007404273 0.02386688 0.0006145488
## 195   195 0.03212131 0.2068183 0.02471917 0.0007376896 0.02387565 0.0006122051
## 196   196 0.03212031 0.2068688 0.02471681 0.0007417182 0.02390377 0.0006142890
## 197   197 0.03212045 0.2068753 0.02471452 0.0007437887 0.02397385 0.0006160127
## 198   198 0.03212154 0.2068258 0.02471709 0.0007421694 0.02393491 0.0006140363
## 199   199 0.03212072 0.2068682 0.02471544 0.0007386873 0.02389094 0.0006105555
## 200   200 0.03211858 0.2069697 0.02471151 0.0007426417 0.02403664 0.0006126826
## 201   201 0.03211790 0.2069942 0.02471179 0.0007397241 0.02392360 0.0006083483
## 202   202 0.03211893 0.2069400 0.02471175 0.0007401619 0.02392331 0.0006103416
## 203   203 0.03211760 0.2069927 0.02471003 0.0007419760 0.02393780 0.0006104905
## 204   204 0.03211518 0.2070880 0.02470971 0.0007467062 0.02406822 0.0006128792
## 205   205 0.03211361 0.2071597 0.02470897 0.0007446335 0.02391783 0.0006109022
## 206   206 0.03211671 0.2070267 0.02471071 0.0007447954 0.02393297 0.0006106550
## 207   207 0.03211887 0.2069371 0.02471254 0.0007427624 0.02402469 0.0006106533
## 208   208 0.03212148 0.2068280 0.02471433 0.0007421232 0.02403628 0.0006117620
## 209   209 0.03212021 0.2068822 0.02471515 0.0007409750 0.02398888 0.0006081807
## 210   210 0.03212055 0.2068709 0.02471569 0.0007407612 0.02400551 0.0006075216
## 211   211 0.03212133 0.2068386 0.02471700 0.0007418947 0.02403101 0.0006077557
## 212   212 0.03212200 0.2068115 0.02471718 0.0007436373 0.02408295 0.0006082503
## 213   213 0.03212086 0.2068608 0.02471562 0.0007435165 0.02402960 0.0006077945
## 214   214 0.03212133 0.2068388 0.02471609 0.0007441390 0.02405444 0.0006079927
## 215   215 0.03212246 0.2067857 0.02471634 0.0007449357 0.02405300 0.0006080494
## 216   216 0.03212350 0.2067373 0.02471743 0.0007426976 0.02393477 0.0006059977
## 217   217 0.03212368 0.2067302 0.02471694 0.0007412252 0.02386297 0.0006050774
## 218   218 0.03212379 0.2067215 0.02471769 0.0007408228 0.02386854 0.0006057193
## 219   219 0.03212279 0.2067716 0.02471636 0.0007421437 0.02393657 0.0006064402
## 220   220 0.03212450 0.2066997 0.02471782 0.0007426391 0.02400031 0.0006069893
## 221   221 0.03212575 0.2066443 0.02471894 0.0007413844 0.02395601 0.0006063551
## 222   222 0.03212639 0.2066166 0.02471963 0.0007421593 0.02398086 0.0006065577
## 223   223 0.03212626 0.2066201 0.02471904 0.0007423556 0.02394088 0.0006062469
## 224   224 0.03212560 0.2066442 0.02471841 0.0007430920 0.02393346 0.0006073315
## 225   225 0.03212529 0.2066575 0.02471795 0.0007423461 0.02394726 0.0006068688
## 226   226 0.03212681 0.2065956 0.02471927 0.0007429293 0.02398027 0.0006075466
## 227   227 0.03212656 0.2066043 0.02471878 0.0007427766 0.02396408 0.0006070635
## 228   228 0.03212623 0.2066188 0.02471921 0.0007426108 0.02396328 0.0006067486
## 229   229 0.03212581 0.2066407 0.02471867 0.0007424296 0.02396027 0.0006065668
## 230   230 0.03212592 0.2066317 0.02471903 0.0007418059 0.02392697 0.0006059406
## 231   231 0.03212575 0.2066382 0.02471866 0.0007418205 0.02392392 0.0006061647
## 232   232 0.03212581 0.2066364 0.02471837 0.0007410823 0.02389928 0.0006057639
## 233   233 0.03212556 0.2066484 0.02471830 0.0007413759 0.02390808 0.0006058601
## 234   234 0.03212530 0.2066589 0.02471809 0.0007407540 0.02389895 0.0006053082
## 235   235 0.03212532 0.2066565 0.02471804 0.0007406742 0.02389196 0.0006053883
## 236   236 0.03212554 0.2066474 0.02471826 0.0007406086 0.02388513 0.0006052655
## 237   237 0.03212572 0.2066387 0.02471830 0.0007405966 0.02388618 0.0006052283
## 238   238 0.03212562 0.2066425 0.02471821 0.0007407461 0.02389906 0.0006055257
## 239   239 0.03212566 0.2066410 0.02471819 0.0007407434 0.02389712 0.0006055051
## 240   240 0.03212568 0.2066400 0.02471817 0.0007406867 0.02389293 0.0006054287
## [1] "Best Model"
##    nvmax
## 11    11

## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

## [1] "Coefficients of final model:"
##                  Estimate         2.5 %        97.5 %
## (Intercept)  1.9943108240  1.987270e+00  2.001352e+00
## x4          -0.0000563195 -7.366668e-05 -3.897232e-05
## x7           0.0111695138  9.941573e-03  1.239745e-02
## x9           0.0032703436  2.633200e-03  3.907487e-03
## x10          0.0010757959  4.818071e-04  1.669785e-03
## x16          0.0009034675  4.932559e-04  1.313679e-03
## x17          0.0013944496  7.693954e-04  2.019504e-03
## x21          0.0001290356  4.794220e-05  2.101289e-04
## stat14      -0.0009237427 -1.396307e-03 -4.511779e-04
## stat98       0.0035049260  3.034519e-03  3.975332e-03
## stat110     -0.0031947718 -3.668557e-03 -2.720987e-03
## x18.sqrt     0.0265348474  2.470918e-02  2.836052e-02

Test

if (algo.forward.caret == TRUE){
    test.model(model=model.forward, test=data.test
             ,method = 'leapForward',subopt = NULL
             ,formula = formula, feature.names = feature.names, label.names = label.names
             ,id = id
             ,draw.limits = TRUE, transformation = t)
}
## [1] "Summary of predicted values: "
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   2.043   2.084   2.097   2.096   2.110   2.148 
## [1] "leapForward  Test MSE: 0.00103207531444324"

Backward Elimination with CV

Train

if (algo.backward.caret == TRUE){
  set.seed(1)
  returned = train.caret.glmselect(formula = formula
                                   ,data =  data.train
                                   ,method = "leapBackward"
                                   ,feature.names =  feature.names)
  model.backward = returned$model
  id = returned$id
}
## Aggregating results
## Selecting tuning parameters
## Fitting nvmax = 11 on full training set
## [1] "All models results"
##     nvmax       RMSE  Rsquared        MAE       RMSESD RsquaredSD        MAESD
## 1       1 0.03389262 0.1107374 0.02638098 0.0006522431 0.01843699 0.0004657941
## 2       2 0.03307022 0.1535661 0.02570143 0.0007777253 0.02125833 0.0006093741
## 3       3 0.03251205 0.1824264 0.02515777 0.0007730663 0.02790904 0.0005946623
## 4       4 0.03203058 0.2063268 0.02453996 0.0007618678 0.02742323 0.0006125272
## 5       5 0.03175409 0.2198443 0.02433833 0.0007521550 0.02365268 0.0005893048
## 6       6 0.03164410 0.2252731 0.02426658 0.0007067374 0.02069752 0.0005718563
## 7       7 0.03167451 0.2237877 0.02430027 0.0007134016 0.02161979 0.0006044690
## 8       8 0.03162055 0.2265125 0.02428486 0.0007295711 0.02287693 0.0005987685
## 9       9 0.03155615 0.2297157 0.02422169 0.0007806923 0.02479613 0.0006297838
## 10     10 0.03155548 0.2298092 0.02421996 0.0007214398 0.02383271 0.0005854693
## 11     11 0.03154196 0.2304901 0.02420858 0.0007129736 0.02369648 0.0005638611
## 12     12 0.03157136 0.2290734 0.02422468 0.0007175387 0.02209994 0.0005662709
## 13     13 0.03157920 0.2286966 0.02424426 0.0006897733 0.02079344 0.0005319438
## 14     14 0.03159416 0.2279372 0.02426092 0.0006915752 0.02019683 0.0005240932
## 15     15 0.03157894 0.2287061 0.02423653 0.0007038994 0.02024370 0.0005411458
## 16     16 0.03156692 0.2292913 0.02421692 0.0007047558 0.01964155 0.0005341416
## 17     17 0.03157406 0.2290131 0.02421312 0.0007224985 0.01997446 0.0005265877
## 18     18 0.03156651 0.2293337 0.02420193 0.0007170687 0.01830741 0.0005263061
## 19     19 0.03154426 0.2304284 0.02418362 0.0007083238 0.01837859 0.0005279866
## 20     20 0.03155669 0.2298720 0.02419903 0.0007201011 0.01951147 0.0005360044
## 21     21 0.03159715 0.2279797 0.02422729 0.0007282979 0.02017570 0.0005567951
## 22     22 0.03158827 0.2284198 0.02423897 0.0007322096 0.02047236 0.0005712637
## 23     23 0.03158918 0.2284546 0.02422965 0.0007397660 0.02140798 0.0005825951
## 24     24 0.03156738 0.2294569 0.02421477 0.0007204914 0.02062076 0.0005591127
## 25     25 0.03157379 0.2291858 0.02423772 0.0007277905 0.01912965 0.0005541639
## 26     26 0.03156433 0.2297195 0.02423677 0.0007458641 0.02010390 0.0005630590
## 27     27 0.03157513 0.2292237 0.02425307 0.0007616370 0.02089499 0.0005961089
## 28     28 0.03157776 0.2290838 0.02425921 0.0007501304 0.02041643 0.0005949409
## 29     29 0.03158128 0.2290063 0.02427530 0.0007420975 0.02076487 0.0005906784
## 30     30 0.03159291 0.2285737 0.02428363 0.0007482834 0.02139915 0.0005913368
## 31     31 0.03160604 0.2279772 0.02428904 0.0007341778 0.02089710 0.0005808521
## 32     32 0.03162725 0.2270435 0.02430620 0.0007368468 0.02062860 0.0005822712
## 33     33 0.03162919 0.2270474 0.02431446 0.0007552904 0.02204605 0.0005883116
## 34     34 0.03164143 0.2264833 0.02433335 0.0007729105 0.02253207 0.0006026211
## 35     35 0.03165717 0.2257964 0.02434415 0.0007765375 0.02304420 0.0006267268
## 36     36 0.03167060 0.2252023 0.02434744 0.0007785353 0.02336139 0.0006252428
## 37     37 0.03166876 0.2252531 0.02435040 0.0007714393 0.02220022 0.0006194244
## 38     38 0.03169376 0.2241424 0.02437276 0.0007912063 0.02248597 0.0006410639
## 39     39 0.03170385 0.2236689 0.02437805 0.0007874504 0.02201962 0.0006413722
## 40     40 0.03171390 0.2232108 0.02438437 0.0007921855 0.02159826 0.0006371194
## 41     41 0.03171792 0.2229959 0.02438135 0.0007816881 0.02082254 0.0006325727
## 42     42 0.03172602 0.2226439 0.02438411 0.0007861808 0.02133991 0.0006323869
## 43     43 0.03172945 0.2225249 0.02438381 0.0007931064 0.02178236 0.0006463201
## 44     44 0.03174974 0.2216663 0.02439703 0.0007925777 0.02147923 0.0006406267
## 45     45 0.03175920 0.2213034 0.02440931 0.0007935219 0.02231360 0.0006444002
## 46     46 0.03176533 0.2210498 0.02441829 0.0008028667 0.02220946 0.0006492120
## 47     47 0.03177492 0.2206772 0.02441491 0.0008127269 0.02253869 0.0006471872
## 48     48 0.03178343 0.2203631 0.02442609 0.0008034322 0.02273128 0.0006364118
## 49     49 0.03179806 0.2196841 0.02443296 0.0007974818 0.02267730 0.0006249690
## 50     50 0.03181291 0.2190421 0.02444348 0.0007970046 0.02261601 0.0006342197
## 51     51 0.03182932 0.2183362 0.02445646 0.0007811276 0.02234062 0.0006116116
## 52     52 0.03184828 0.2175304 0.02447620 0.0007817739 0.02251523 0.0006112606
## 53     53 0.03185938 0.2170713 0.02448613 0.0007859098 0.02291475 0.0006230813
## 54     54 0.03187538 0.2164156 0.02449434 0.0007821842 0.02264840 0.0006216841
## 55     55 0.03189228 0.2156669 0.02450300 0.0007754059 0.02244418 0.0006314071
## 56     56 0.03190491 0.2151355 0.02450603 0.0007790697 0.02191727 0.0006367828
## 57     57 0.03192110 0.2144153 0.02451609 0.0007784437 0.02172463 0.0006371116
## 58     58 0.03193602 0.2137950 0.02452777 0.0007736859 0.02151472 0.0006432385
## 59     59 0.03194644 0.2133170 0.02453791 0.0007685173 0.02155852 0.0006449447
## 60     60 0.03195678 0.2128831 0.02454778 0.0007736210 0.02164678 0.0006509962
## 61     61 0.03195665 0.2128976 0.02454344 0.0007759470 0.02148315 0.0006597152
## 62     62 0.03197045 0.2123319 0.02455541 0.0007785415 0.02151578 0.0006558428
## 63     63 0.03197635 0.2121240 0.02456218 0.0007933063 0.02229882 0.0006684501
## 64     64 0.03198047 0.2119958 0.02456814 0.0007973936 0.02225452 0.0006689053
## 65     65 0.03199344 0.2114276 0.02457946 0.0008064336 0.02261372 0.0006686883
## 66     66 0.03198634 0.2117188 0.02457509 0.0008059377 0.02282986 0.0006667427
## 67     67 0.03197566 0.2121933 0.02456156 0.0008018230 0.02278480 0.0006678345
## 68     68 0.03198234 0.2119028 0.02457212 0.0007959841 0.02246759 0.0006645727
## 69     69 0.03197847 0.2120846 0.02456457 0.0007856155 0.02218130 0.0006546440
## 70     70 0.03198731 0.2116916 0.02456954 0.0007778978 0.02234026 0.0006425659
## 71     71 0.03199098 0.2115487 0.02456741 0.0007754980 0.02224916 0.0006340838
## 72     72 0.03199481 0.2114030 0.02456695 0.0007820242 0.02244035 0.0006338517
## 73     73 0.03200022 0.2111385 0.02457359 0.0007844170 0.02229295 0.0006374261
## 74     74 0.03200473 0.2108970 0.02458196 0.0007792156 0.02209528 0.0006330786
## 75     75 0.03200758 0.2108089 0.02459069 0.0007853012 0.02217727 0.0006356551
## 76     76 0.03200874 0.2107937 0.02459271 0.0007879390 0.02220519 0.0006312108
## 77     77 0.03202113 0.2102812 0.02460586 0.0007775727 0.02204681 0.0006287361
## 78     78 0.03201696 0.2104656 0.02459819 0.0007732127 0.02196829 0.0006172424
## 79     79 0.03201928 0.2104019 0.02460752 0.0007698698 0.02198916 0.0006129441
## 80     80 0.03203332 0.2098160 0.02462542 0.0007647552 0.02211553 0.0006068389
## 81     81 0.03203977 0.2095353 0.02462711 0.0007659991 0.02242300 0.0006130742
## 82     82 0.03204036 0.2095133 0.02462930 0.0007716606 0.02261209 0.0006110414
## 83     83 0.03203734 0.2096431 0.02462306 0.0007526437 0.02198310 0.0006038814
## 84     84 0.03203619 0.2097307 0.02462647 0.0007451801 0.02211496 0.0006016631
## 85     85 0.03203329 0.2098698 0.02462274 0.0007524970 0.02250258 0.0006099046
## 86     86 0.03203920 0.2096075 0.02463053 0.0007455977 0.02227444 0.0006032124
## 87     87 0.03203878 0.2096410 0.02462817 0.0007474677 0.02208991 0.0006073230
## 88     88 0.03203196 0.2099396 0.02461663 0.0007533145 0.02203955 0.0006097122
## 89     89 0.03203541 0.2098196 0.02461566 0.0007519211 0.02240207 0.0006139766
## 90     90 0.03203802 0.2097340 0.02461927 0.0007617944 0.02294072 0.0006213546
## 91     91 0.03203783 0.2096929 0.02461992 0.0007653889 0.02285103 0.0006246838
## 92     92 0.03204313 0.2094931 0.02462863 0.0007702754 0.02324702 0.0006248658
## 93     93 0.03205301 0.2090243 0.02464187 0.0007711120 0.02313184 0.0006295924
## 94     94 0.03205358 0.2090081 0.02464821 0.0007724452 0.02332751 0.0006224512
## 95     95 0.03206399 0.2085852 0.02465920 0.0007777621 0.02312808 0.0006188906
## 96     96 0.03207240 0.2082087 0.02467759 0.0007731283 0.02307798 0.0006201315
## 97     97 0.03207778 0.2080074 0.02468342 0.0007712514 0.02310149 0.0006301259
## 98     98 0.03207205 0.2082941 0.02467601 0.0007648914 0.02282054 0.0006240114
## 99     99 0.03205940 0.2088413 0.02466225 0.0007661558 0.02309161 0.0006186644
## 100   100 0.03206615 0.2086167 0.02467016 0.0007731032 0.02323021 0.0006230757
## 101   101 0.03206353 0.2087233 0.02466733 0.0007713341 0.02338976 0.0006229120
## 102   102 0.03206909 0.2084796 0.02467339 0.0007769378 0.02350300 0.0006249898
## 103   103 0.03207215 0.2083748 0.02467420 0.0007762447 0.02347047 0.0006254771
## 104   104 0.03207235 0.2083890 0.02467105 0.0007785150 0.02368898 0.0006274777
## 105   105 0.03207032 0.2085189 0.02467603 0.0007717164 0.02368532 0.0006267517
## 106   106 0.03207319 0.2083921 0.02467643 0.0007710330 0.02369136 0.0006304638
## 107   107 0.03207533 0.2082865 0.02468066 0.0007653860 0.02316499 0.0006285650
## 108   108 0.03208205 0.2080111 0.02468545 0.0007675703 0.02310296 0.0006307816
## 109   109 0.03208718 0.2078170 0.02468435 0.0007621884 0.02318517 0.0006268088
## 110   110 0.03208920 0.2077342 0.02468962 0.0007578775 0.02307552 0.0006199551
## 111   111 0.03209448 0.2074931 0.02468899 0.0007546370 0.02322106 0.0006192962
## 112   112 0.03210970 0.2068712 0.02470307 0.0007482211 0.02287796 0.0006160682
## 113   113 0.03211622 0.2065821 0.02471001 0.0007517131 0.02291154 0.0006201541
## 114   114 0.03211623 0.2065810 0.02470518 0.0007441282 0.02278149 0.0006139856
## 115   115 0.03212327 0.2062721 0.02471167 0.0007487726 0.02302943 0.0006191742
## 116   116 0.03212427 0.2062302 0.02471338 0.0007527897 0.02347782 0.0006226691
## 117   117 0.03212000 0.2064202 0.02470878 0.0007575358 0.02373485 0.0006239409
## 118   118 0.03212349 0.2062834 0.02470814 0.0007614702 0.02409342 0.0006308846
## 119   119 0.03212416 0.2063235 0.02470879 0.0007573635 0.02406495 0.0006285195
## 120   120 0.03212633 0.2063162 0.02471045 0.0007537083 0.02427215 0.0006312394
## 121   121 0.03212708 0.2063458 0.02470826 0.0007530308 0.02457510 0.0006335698
## 122   122 0.03213053 0.2061903 0.02471125 0.0007536489 0.02474979 0.0006368084
## 123   123 0.03212840 0.2063163 0.02470863 0.0007551720 0.02476922 0.0006390117
## 124   124 0.03213023 0.2062137 0.02470852 0.0007612437 0.02475869 0.0006408769
## 125   125 0.03212961 0.2062541 0.02470967 0.0007603137 0.02473905 0.0006314471
## 126   126 0.03213395 0.2060753 0.02471511 0.0007546082 0.02447199 0.0006222039
## 127   127 0.03213794 0.2059163 0.02471882 0.0007563696 0.02446492 0.0006160069
## 128   128 0.03214204 0.2057531 0.02472467 0.0007548106 0.02462856 0.0006102005
## 129   129 0.03214869 0.2054887 0.02473211 0.0007566135 0.02466626 0.0006112942
## 130   130 0.03215200 0.2053760 0.02473471 0.0007539712 0.02436234 0.0006070767
## 131   131 0.03214666 0.2056152 0.02473212 0.0007532039 0.02463221 0.0006069656
## 132   132 0.03214056 0.2058928 0.02472950 0.0007511681 0.02464673 0.0006033620
## 133   133 0.03214479 0.2057336 0.02473187 0.0007525865 0.02468217 0.0005992537
## 134   134 0.03214399 0.2057752 0.02472933 0.0007550070 0.02482559 0.0006038865
## 135   135 0.03214070 0.2058692 0.02472983 0.0007503584 0.02448372 0.0006028695
## 136   136 0.03214174 0.2058192 0.02472799 0.0007483078 0.02440672 0.0006020680
## 137   137 0.03213866 0.2059575 0.02472578 0.0007478554 0.02445742 0.0006095448
## 138   138 0.03213805 0.2059788 0.02472089 0.0007509237 0.02429070 0.0006145233
## 139   139 0.03213862 0.2059731 0.02472107 0.0007528934 0.02438591 0.0006198472
## 140   140 0.03213946 0.2059610 0.02472337 0.0007490287 0.02438826 0.0006152260
## 141   141 0.03213260 0.2062681 0.02471994 0.0007545629 0.02445408 0.0006146181
## 142   142 0.03212646 0.2064944 0.02471507 0.0007559026 0.02439785 0.0006180605
## 143   143 0.03212861 0.2064373 0.02471790 0.0007498941 0.02449906 0.0006173744
## 144   144 0.03212701 0.2065015 0.02471808 0.0007489096 0.02447890 0.0006155124
## 145   145 0.03213478 0.2061729 0.02472197 0.0007435217 0.02446492 0.0006138070
## 146   146 0.03212520 0.2065884 0.02471530 0.0007531535 0.02457787 0.0006153448
## 147   147 0.03212225 0.2067282 0.02471188 0.0007568609 0.02474961 0.0006153412
## 148   148 0.03212899 0.2064455 0.02471917 0.0007551678 0.02473385 0.0006149529
## 149   149 0.03212284 0.2067058 0.02471441 0.0007479597 0.02441619 0.0006117928
## 150   150 0.03212047 0.2068083 0.02471381 0.0007513471 0.02436591 0.0006167535
## 151   151 0.03212280 0.2066944 0.02471553 0.0007466749 0.02391460 0.0006126944
## 152   152 0.03212058 0.2067791 0.02471493 0.0007457267 0.02394567 0.0006114116
## 153   153 0.03212290 0.2066997 0.02471704 0.0007501140 0.02410400 0.0006117245
## 154   154 0.03212239 0.2067461 0.02471850 0.0007474402 0.02416470 0.0006100832
## 155   155 0.03212760 0.2065136 0.02472197 0.0007478692 0.02418024 0.0006061097
## 156   156 0.03212807 0.2064755 0.02472317 0.0007486285 0.02425454 0.0006086699
## 157   157 0.03212655 0.2065477 0.02472244 0.0007471831 0.02416878 0.0006058748
## 158   158 0.03212345 0.2066636 0.02472029 0.0007407456 0.02396676 0.0005999895
## 159   159 0.03212566 0.2065750 0.02471567 0.0007349433 0.02371918 0.0006002776
## 160   160 0.03212856 0.2064608 0.02471375 0.0007312474 0.02353107 0.0005942477
## 161   161 0.03213161 0.2063155 0.02471222 0.0007277384 0.02332216 0.0005950962
## 162   162 0.03213196 0.2062914 0.02471350 0.0007214554 0.02328260 0.0005936947
## 163   163 0.03213155 0.2063116 0.02470993 0.0007195561 0.02327293 0.0005914416
## 164   164 0.03212938 0.2064197 0.02471151 0.0007156952 0.02314973 0.0005941668
## 165   165 0.03212913 0.2064164 0.02471187 0.0007220093 0.02322512 0.0005935653
## 166   166 0.03212635 0.2065414 0.02471327 0.0007205078 0.02311760 0.0005937138
## 167   167 0.03212457 0.2066278 0.02471272 0.0007151061 0.02294933 0.0005898320
## 168   168 0.03212877 0.2064490 0.02471783 0.0007208881 0.02308536 0.0005912363
## 169   169 0.03213429 0.2061978 0.02472174 0.0007258654 0.02318296 0.0005939044
## 170   170 0.03213450 0.2062010 0.02472102 0.0007260212 0.02326413 0.0005912360
## 171   171 0.03213207 0.2063060 0.02471867 0.0007306272 0.02327237 0.0005952949
## 172   172 0.03213036 0.2063913 0.02471771 0.0007311588 0.02339356 0.0005987058
## 173   173 0.03212536 0.2066101 0.02471498 0.0007298911 0.02334140 0.0005988515
## 174   174 0.03212245 0.2067261 0.02471365 0.0007281729 0.02342527 0.0005965437
## 175   175 0.03212588 0.2065730 0.02471868 0.0007287127 0.02345189 0.0005973729
## 176   176 0.03212279 0.2067000 0.02471737 0.0007311018 0.02353952 0.0006008323
## 177   177 0.03212580 0.2065655 0.02472076 0.0007308040 0.02343405 0.0005979705
## 178   178 0.03212496 0.2066272 0.02472130 0.0007302567 0.02349599 0.0006008811
## 179   179 0.03212000 0.2068506 0.02471707 0.0007339362 0.02361414 0.0006039605
## 180   180 0.03212121 0.2068065 0.02471782 0.0007352219 0.02377820 0.0006061255
## 181   181 0.03212230 0.2067493 0.02471825 0.0007335405 0.02371664 0.0006042600
## 182   182 0.03212273 0.2067152 0.02471738 0.0007340286 0.02357375 0.0006052105
## 183   183 0.03211829 0.2068996 0.02471594 0.0007366371 0.02359309 0.0006052755
## 184   184 0.03211926 0.2068540 0.02471726 0.0007369368 0.02362409 0.0006071477
## 185   185 0.03212180 0.2067685 0.02472133 0.0007385147 0.02388042 0.0006075081
## 186   186 0.03212054 0.2068198 0.02471778 0.0007360012 0.02387130 0.0006061713
## 187   187 0.03212354 0.2067003 0.02472043 0.0007349509 0.02385099 0.0006079329
## 188   188 0.03212490 0.2066409 0.02472249 0.0007351593 0.02390753 0.0006086930
## 189   189 0.03212418 0.2066729 0.02472147 0.0007403160 0.02391592 0.0006099627
## 190   190 0.03212113 0.2067991 0.02471955 0.0007441045 0.02397148 0.0006139614
## 191   191 0.03212298 0.2067257 0.02471771 0.0007442826 0.02398951 0.0006140418
## 192   192 0.03212279 0.2067393 0.02471832 0.0007429165 0.02397257 0.0006142717
## 193   193 0.03212085 0.2068213 0.02471884 0.0007440543 0.02402189 0.0006163518
## 194   194 0.03212068 0.2068242 0.02471753 0.0007425872 0.02384035 0.0006153419
## 195   195 0.03211889 0.2069152 0.02471693 0.0007414865 0.02385030 0.0006132442
## 196   196 0.03211983 0.2068959 0.02471811 0.0007437939 0.02391511 0.0006130810
## 197   197 0.03211982 0.2069000 0.02471522 0.0007445346 0.02397707 0.0006153327
## 198   198 0.03212065 0.2068648 0.02471684 0.0007420407 0.02392757 0.0006132191
## 199   199 0.03212193 0.2068083 0.02471619 0.0007386708 0.02392176 0.0006104228
## 200   200 0.03211987 0.2069094 0.02471367 0.0007426967 0.02407062 0.0006131895
## 201   201 0.03211965 0.2069207 0.02471419 0.0007402789 0.02399496 0.0006093050
## 202   202 0.03212086 0.2068640 0.02471307 0.0007407145 0.02399400 0.0006106665
## 203   203 0.03211761 0.2069960 0.02470979 0.0007419990 0.02393238 0.0006100455
## 204   204 0.03211407 0.2071354 0.02470865 0.0007444526 0.02399015 0.0006109085
## 205   205 0.03211361 0.2071597 0.02470897 0.0007446335 0.02391783 0.0006109022
## 206   206 0.03211671 0.2070267 0.02471071 0.0007447954 0.02393297 0.0006106550
## 207   207 0.03211887 0.2069371 0.02471254 0.0007427624 0.02402469 0.0006106533
## 208   208 0.03212148 0.2068280 0.02471433 0.0007421232 0.02403628 0.0006117620
## 209   209 0.03212021 0.2068822 0.02471515 0.0007409750 0.02398888 0.0006081807
## 210   210 0.03212055 0.2068709 0.02471569 0.0007407612 0.02400551 0.0006075216
## 211   211 0.03212133 0.2068386 0.02471700 0.0007418947 0.02403101 0.0006077557
## 212   212 0.03212200 0.2068115 0.02471718 0.0007436373 0.02408295 0.0006082503
## 213   213 0.03212086 0.2068608 0.02471562 0.0007435165 0.02402960 0.0006077945
## 214   214 0.03212133 0.2068388 0.02471609 0.0007441390 0.02405444 0.0006079927
## 215   215 0.03212246 0.2067857 0.02471634 0.0007449357 0.02405300 0.0006080494
## 216   216 0.03212350 0.2067373 0.02471743 0.0007426976 0.02393477 0.0006059977
## 217   217 0.03212368 0.2067302 0.02471694 0.0007412252 0.02386297 0.0006050774
## 218   218 0.03212379 0.2067215 0.02471769 0.0007408228 0.02386854 0.0006057193
## 219   219 0.03212275 0.2067714 0.02471621 0.0007421308 0.02393664 0.0006064085
## 220   220 0.03212413 0.2067145 0.02471739 0.0007425265 0.02399580 0.0006068992
## 221   221 0.03212538 0.2066592 0.02471851 0.0007412701 0.02395142 0.0006062648
## 222   222 0.03212574 0.2066434 0.02471919 0.0007419616 0.02397252 0.0006064658
## 223   223 0.03212626 0.2066201 0.02471904 0.0007423556 0.02394088 0.0006062469
## 224   224 0.03212560 0.2066442 0.02471841 0.0007430920 0.02393346 0.0006073315
## 225   225 0.03212529 0.2066575 0.02471795 0.0007423461 0.02394726 0.0006068688
## 226   226 0.03212681 0.2065956 0.02471927 0.0007429293 0.02398027 0.0006075466
## 227   227 0.03212656 0.2066043 0.02471878 0.0007427766 0.02396408 0.0006070635
## 228   228 0.03212623 0.2066188 0.02471921 0.0007426108 0.02396328 0.0006067486
## 229   229 0.03212581 0.2066407 0.02471867 0.0007424296 0.02396027 0.0006065668
## 230   230 0.03212592 0.2066317 0.02471903 0.0007418059 0.02392697 0.0006059406
## 231   231 0.03212575 0.2066382 0.02471866 0.0007418205 0.02392392 0.0006061647
## 232   232 0.03212581 0.2066364 0.02471837 0.0007410823 0.02389928 0.0006057639
## 233   233 0.03212556 0.2066484 0.02471830 0.0007413759 0.02390808 0.0006058601
## 234   234 0.03212530 0.2066589 0.02471809 0.0007407540 0.02389895 0.0006053082
## 235   235 0.03212532 0.2066565 0.02471804 0.0007406742 0.02389196 0.0006053883
## 236   236 0.03212554 0.2066474 0.02471826 0.0007406086 0.02388513 0.0006052655
## 237   237 0.03212572 0.2066387 0.02471830 0.0007405966 0.02388618 0.0006052283
## 238   238 0.03212562 0.2066425 0.02471821 0.0007407461 0.02389906 0.0006055257
## 239   239 0.03212566 0.2066410 0.02471819 0.0007407434 0.02389712 0.0006055051
## 240   240 0.03212568 0.2066400 0.02471817 0.0007406867 0.02389293 0.0006054287
## [1] "Best Model"
##    nvmax
## 11    11

## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

## [1] "Coefficients of final model:"
##                  Estimate         2.5 %        97.5 %
## (Intercept)  1.9943108240  1.987270e+00  2.001352e+00
## x4          -0.0000563195 -7.366668e-05 -3.897232e-05
## x7           0.0111695138  9.941573e-03  1.239745e-02
## x9           0.0032703436  2.633200e-03  3.907487e-03
## x10          0.0010757959  4.818071e-04  1.669785e-03
## x16          0.0009034675  4.932559e-04  1.313679e-03
## x17          0.0013944496  7.693954e-04  2.019504e-03
## x21          0.0001290356  4.794220e-05  2.101289e-04
## stat14      -0.0009237427 -1.396307e-03 -4.511779e-04
## stat98       0.0035049260  3.034519e-03  3.975332e-03
## stat110     -0.0031947718 -3.668557e-03 -2.720987e-03
## x18.sqrt     0.0265348474  2.470918e-02  2.836052e-02

Test

if (algo.backward.caret == TRUE){
  test.model(model.backward, data.test
             ,method = 'leapBackward',subopt = NULL
             ,formula = formula, feature.names = feature.names, label.names = label.names
             ,id = id
             ,draw.limits = TRUE, transformation = t)
}
## [1] "Summary of predicted values: "
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   2.043   2.084   2.097   2.096   2.110   2.148 
## [1] "leapBackward  Test MSE: 0.00103207531444324"

Stepwise Selection with CV

Train

if (algo.stepwise.caret == TRUE){
  set.seed(1)
  returned = train.caret.glmselect(formula = formula
                                   ,data =  data.train
                                   ,method = "leapSeq"
                                   ,feature.names = feature.names)
  model.stepwise = returned$model
  id = returned$id
}
## Aggregating results
## Selecting tuning parameters
## Fitting nvmax = 11 on full training set
## [1] "All models results"
##     nvmax       RMSE  Rsquared        MAE       RMSESD RsquaredSD        MAESD
## 1       1 0.03389262 0.1107374 0.02638098 0.0006522431 0.01843699 0.0004657941
## 2       2 0.03307022 0.1535661 0.02570143 0.0007777253 0.02125833 0.0006093741
## 3       3 0.03251205 0.1824264 0.02515777 0.0007730663 0.02790904 0.0005946623
## 4       4 0.03203058 0.2063268 0.02453996 0.0007618678 0.02742323 0.0006125272
## 5       5 0.03175409 0.2198443 0.02433833 0.0007521550 0.02365268 0.0005893048
## 6       6 0.03164410 0.2252731 0.02426658 0.0007067374 0.02069752 0.0005718563
## 7       7 0.03167451 0.2237877 0.02430027 0.0007134016 0.02161979 0.0006044690
## 8       8 0.03162055 0.2265125 0.02428486 0.0007295711 0.02287693 0.0005987685
## 9       9 0.03155615 0.2297157 0.02422169 0.0007806923 0.02479613 0.0006297838
## 10     10 0.03155548 0.2298092 0.02421996 0.0007214398 0.02383271 0.0005854693
## 11     11 0.03154196 0.2304901 0.02420858 0.0007129736 0.02369648 0.0005638611
## 12     12 0.03157136 0.2290734 0.02422468 0.0007175387 0.02209994 0.0005662709
## 13     13 0.03157326 0.2289631 0.02424003 0.0006890899 0.02081163 0.0005325302
## 14     14 0.03157408 0.2288482 0.02424375 0.0006872834 0.02012904 0.0005257180
## 15     15 0.03157894 0.2287061 0.02423653 0.0007038994 0.02024370 0.0005411458
## 16     16 0.03190636 0.2117547 0.02452156 0.0013404932 0.06017317 0.0011044116
## 17     17 0.03157406 0.2290131 0.02421312 0.0007224985 0.01997446 0.0005265877
## 18     18 0.03156651 0.2293337 0.02420193 0.0007170687 0.01830741 0.0005263061
## 19     19 0.03154426 0.2304284 0.02418362 0.0007083238 0.01837859 0.0005279866
## 20     20 0.03156336 0.2295238 0.02420827 0.0007248759 0.01924171 0.0005474819
## 21     21 0.03159715 0.2279797 0.02422729 0.0007282979 0.02017570 0.0005567951
## 22     22 0.03196738 0.2092553 0.02453578 0.0015485656 0.06013615 0.0012713111
## 23     23 0.03158918 0.2284546 0.02422965 0.0007397660 0.02140798 0.0005825951
## 24     24 0.03156738 0.2294569 0.02421477 0.0007204914 0.02062076 0.0005591127
## 25     25 0.03158046 0.2288811 0.02424395 0.0007370698 0.01940678 0.0005602539
## 26     26 0.03155988 0.2299272 0.02423487 0.0007381787 0.01977053 0.0005594708
## 27     27 0.03157513 0.2292237 0.02425307 0.0007616370 0.02089499 0.0005961089
## 28     28 0.03157278 0.2293200 0.02425732 0.0007545404 0.02083975 0.0005969809
## 29     29 0.03180893 0.2174105 0.02442729 0.0012809581 0.04991480 0.0009363540
## 30     30 0.03229356 0.1930513 0.02484382 0.0016910689 0.06879877 0.0013931207
## 31     31 0.03193126 0.2113926 0.02452373 0.0013507778 0.06042039 0.0010222070
## 32     32 0.03194276 0.2105584 0.02458709 0.0013168990 0.05826289 0.0010729542
## 33     33 0.03163171 0.2269222 0.02431474 0.0007451232 0.02212524 0.0005848146
## 34     34 0.03165120 0.2260814 0.02433254 0.0007545036 0.02282494 0.0005976554
## 35     35 0.03164835 0.2261771 0.02432278 0.0007779652 0.02291525 0.0006327695
## 36     36 0.03190482 0.2120608 0.02454376 0.0008175801 0.05080420 0.0008048053
## 37     37 0.03223647 0.1951826 0.02486195 0.0014064694 0.07066364 0.0011396934
## 38     38 0.03170411 0.2236700 0.02438520 0.0007675873 0.02116256 0.0006103664
## 39     39 0.03196900 0.2094742 0.02463244 0.0010131088 0.05118741 0.0008450926
## 40     40 0.03196216 0.2104704 0.02457026 0.0009346952 0.04384750 0.0007947740
## 41     41 0.03192549 0.2124119 0.02451896 0.0012361352 0.04679187 0.0009139803
## 42     42 0.03217811 0.2002617 0.02475941 0.0013738197 0.05953275 0.0010045000
## 43     43 0.03205242 0.2061287 0.02462206 0.0013589357 0.05964128 0.0010463279
## 44     44 0.03270386 0.1734083 0.02512338 0.0018333297 0.08130799 0.0013313729
## 45     45 0.03205640 0.2056472 0.02465931 0.0013004827 0.05601458 0.0010619360
## 46     46 0.03221936 0.1985616 0.02479355 0.0013553883 0.05856631 0.0009874377
## 47     47 0.03177494 0.2206460 0.02442074 0.0008064939 0.02222634 0.0006460526
## 48     48 0.03202344 0.2077207 0.02462188 0.0009752004 0.04581255 0.0008351891
## 49     49 0.03296207 0.1595841 0.02538980 0.0017383653 0.07823696 0.0013980231
## 50     50 0.03204341 0.2060375 0.02463894 0.0007839917 0.04815828 0.0007573110
## 51     51 0.03206358 0.2051349 0.02464930 0.0007638784 0.04789335 0.0007449423
## 52     52 0.03184275 0.2178206 0.02447732 0.0007952133 0.02297393 0.0006213095
## 53     53 0.03218564 0.2006009 0.02474453 0.0011034122 0.04444579 0.0008989274
## 54     54 0.03272897 0.1719717 0.02525041 0.0016035335 0.07328474 0.0012624810
## 55     55 0.03190696 0.2150266 0.02450950 0.0007919428 0.02295894 0.0006465792
## 56     56 0.03234443 0.1933654 0.02487484 0.0013027446 0.05620578 0.0009719069
## 57     57 0.03190826 0.2150342 0.02450711 0.0007731364 0.02170786 0.0006391728
## 58     58 0.03270840 0.1728509 0.02522079 0.0011853066 0.06469140 0.0010109080
## 59     59 0.03216460 0.2007868 0.02471767 0.0007355282 0.04601677 0.0007522352
## 60     60 0.03258182 0.1810157 0.02504379 0.0017598213 0.07367551 0.0014331603
## 61     61 0.03217749 0.2002409 0.02472311 0.0007516287 0.04654581 0.0007534026
## 62     62 0.03270112 0.1723941 0.02518733 0.0012381587 0.07342228 0.0010739223
## 63     63 0.03303636 0.1566573 0.02536752 0.0017599415 0.07813027 0.0014057263
## 64     64 0.03198178 0.2118771 0.02456126 0.0007936143 0.02250020 0.0006583984
## 65     65 0.03227865 0.1966534 0.02481696 0.0014181398 0.05569133 0.0011230864
## 66     66 0.03225265 0.1977175 0.02477948 0.0012661378 0.05455858 0.0009811456
## 67     67 0.03228552 0.1963687 0.02482691 0.0014201821 0.05564907 0.0011313731
## 68     68 0.03239186 0.1889456 0.02486805 0.0011488409 0.05940391 0.0009812912
## 69     69 0.03292106 0.1641962 0.02532547 0.0018663962 0.07439338 0.0015179714
## 70     70 0.03228190 0.1965133 0.02482179 0.0014066723 0.05535723 0.0011032126
## 71     71 0.03242249 0.1869698 0.02498789 0.0008577006 0.05900046 0.0008312052
## 72     72 0.03263117 0.1791488 0.02509048 0.0018208783 0.07199665 0.0014550252
## 73     73 0.03226859 0.1970791 0.02479467 0.0012548538 0.05441653 0.0009492339
## 74     74 0.03254785 0.1819450 0.02502171 0.0009745416 0.05587756 0.0009345276
## 75     75 0.03264442 0.1782365 0.02509928 0.0017374921 0.07186230 0.0014153600
## 76     76 0.03253261 0.1825747 0.02503149 0.0013337934 0.06604520 0.0011417823
## 77     77 0.03227804 0.1966769 0.02480360 0.0012537172 0.05433758 0.0009701228
## 78     78 0.03286111 0.1664006 0.02529508 0.0014125608 0.06860469 0.0011823598
## 79     79 0.03232460 0.1948419 0.02484955 0.0010716578 0.04348243 0.0008891385
## 80     80 0.03299645 0.1604910 0.02543018 0.0016574642 0.07354738 0.0012389834
## 81     81 0.03203145 0.2098580 0.02462138 0.0007695140 0.02243368 0.0006214841
## 82     82 0.03224029 0.1980646 0.02484341 0.0009336145 0.04602808 0.0007666668
## 83     83 0.03223523 0.1989800 0.02476874 0.0011971892 0.04715206 0.0009132621
## 84     84 0.03277294 0.1728990 0.02521700 0.0013303382 0.05919834 0.0009641456
## 85     85 0.03281866 0.1710558 0.02523939 0.0016711046 0.06877583 0.0012488075
## 86     86 0.03249750 0.1845183 0.02503379 0.0012801992 0.06427935 0.0010009530
## 87     87 0.03280002 0.1714870 0.02524755 0.0015214516 0.06847507 0.0011245466
## 88     88 0.03233594 0.1943903 0.02487820 0.0013793063 0.05447681 0.0010849318
## 89     89 0.03222450 0.1995041 0.02475916 0.0012002133 0.04772528 0.0009190266
## 90     90 0.03254352 0.1826926 0.02510358 0.0014340406 0.06510248 0.0011255931
## 91     91 0.03238513 0.1924834 0.02489125 0.0014818651 0.05697926 0.0011954186
## 92     92 0.03224006 0.1981625 0.02485293 0.0009259335 0.04623628 0.0007592645
## 93     93 0.03204973 0.2091133 0.02464788 0.0007630802 0.02266234 0.0006141097
## 94     94 0.03257437 0.1809023 0.02509379 0.0013011009 0.06567833 0.0011195969
## 95     95 0.03206123 0.2086692 0.02466295 0.0007724915 0.02299611 0.0006223798
## 96     96 0.03331895 0.1422237 0.02571213 0.0019243695 0.08460243 0.0015018316
## 97     97 0.03261531 0.1797927 0.02509662 0.0011951369 0.05910872 0.0010101957
## 98     98 0.03281894 0.1708758 0.02529712 0.0015227201 0.06837044 0.0011294593
## 99     99 0.03259488 0.1807404 0.02512520 0.0015255755 0.06668401 0.0012239505
## 100   100 0.03250003 0.1872431 0.02501616 0.0012202174 0.05246380 0.0008259194
## 101   101 0.03238220 0.1924862 0.02491359 0.0011120299 0.04670515 0.0009208317
## 102   102 0.03207302 0.2083361 0.02467570 0.0007658074 0.02330937 0.0006177188
## 103   103 0.03251042 0.1868173 0.02502162 0.0012198557 0.05247733 0.0008104407
## 104   104 0.03235978 0.1936575 0.02491642 0.0013618990 0.05396057 0.0010680689
## 105   105 0.03239992 0.1921270 0.02492509 0.0014720671 0.05693844 0.0011912118
## 106   106 0.03208365 0.2079157 0.02468668 0.0007690143 0.02360825 0.0006302179
## 107   107 0.03272777 0.1748933 0.02519339 0.0012914664 0.06361111 0.0009158302
## 108   108 0.03256879 0.1823655 0.02508556 0.0016432724 0.06728165 0.0012813883
## 109   109 0.03208839 0.2077815 0.02468660 0.0007638979 0.02321952 0.0006291254
## 110   110 0.03275143 0.1742155 0.02524319 0.0014720328 0.06578984 0.0012417361
## 111   111 0.03210022 0.2072567 0.02469912 0.0007532593 0.02329091 0.0006201568
## 112   112 0.03234495 0.1934208 0.02488906 0.0007455030 0.04916116 0.0007782915
## 113   113 0.03282220 0.1682226 0.02531206 0.0013679681 0.07386064 0.0011005833
## 114   114 0.03278215 0.1729357 0.02525850 0.0014818603 0.06615637 0.0012516033
## 115   115 0.03282348 0.1687880 0.02525418 0.0016128246 0.07653423 0.0012973311
## 116   116 0.03297523 0.1617093 0.02537799 0.0015938689 0.07732054 0.0013721641
## 117   117 0.03266643 0.1781347 0.02517356 0.0016298579 0.07095424 0.0013324249
## 118   118 0.03240974 0.1916885 0.02495676 0.0013292524 0.05280513 0.0010497223
## 119   119 0.03261332 0.1802813 0.02511146 0.0014298646 0.06552485 0.0011537237
## 120   120 0.03229448 0.1967973 0.02490154 0.0008657819 0.04189151 0.0007341068
## 121   121 0.03227531 0.1978130 0.02482283 0.0008834765 0.04170865 0.0007578720
## 122   122 0.03234726 0.1942724 0.02489595 0.0007634031 0.04729228 0.0007926131
## 123   123 0.03239991 0.1926545 0.02498390 0.0009662668 0.03903177 0.0009746519
## 124   124 0.03263165 0.1805597 0.02509780 0.0010689266 0.04606071 0.0007422657
## 125   125 0.03284427 0.1695182 0.02529752 0.0015538037 0.06662734 0.0013126628
## 126   126 0.03243223 0.1911956 0.02493885 0.0008845017 0.03451720 0.0005518075
## 127   127 0.03213794 0.2059163 0.02471882 0.0007563696 0.02446492 0.0006160069
## 128   128 0.03240114 0.1923913 0.02497495 0.0011193227 0.04702881 0.0009758222
## 129   129 0.03214064 0.2057934 0.02472525 0.0007576194 0.02471343 0.0006083244
## 130   130 0.03234329 0.1953112 0.02489857 0.0012666434 0.05064304 0.0010301210
## 131   131 0.03215423 0.2053147 0.02473458 0.0007625378 0.02500559 0.0006138360
## 132   132 0.03236292 0.1947478 0.02494170 0.0008428065 0.03130747 0.0007882416
## 133   133 0.03246571 0.1880965 0.02499406 0.0008095321 0.05050795 0.0007927231
## 134   134 0.03234827 0.1951122 0.02491964 0.0009961354 0.04021427 0.0008235674
## 135   135 0.03214651 0.2056296 0.02473753 0.0007550915 0.02504273 0.0006088901
## 136   136 0.03250483 0.1867763 0.02501774 0.0012122568 0.05062705 0.0009244021
## 137   137 0.03272336 0.1755202 0.02518225 0.0008100232 0.04594793 0.0006543020
## 138   138 0.03286597 0.1680172 0.02534444 0.0013508950 0.05540468 0.0011132573
## 139   139 0.03213980 0.2059246 0.02472159 0.0007383313 0.02408760 0.0006088668
## 140   140 0.03279876 0.1723497 0.02522430 0.0010439499 0.04878411 0.0008361220
## 141   141 0.03228084 0.1980190 0.02485333 0.0008434060 0.03881870 0.0006539497
## 142   142 0.03231800 0.1962194 0.02488409 0.0007288258 0.04264854 0.0007560841
## 143   143 0.03231249 0.1964752 0.02487780 0.0007265343 0.04253209 0.0007564128
## 144   144 0.03250434 0.1870728 0.02498109 0.0012564309 0.05271093 0.0010187274
## 145   145 0.03246186 0.1882370 0.02501522 0.0007800813 0.05030780 0.0007485211
## 146   146 0.03228614 0.1980761 0.02483963 0.0009421280 0.03782737 0.0007582706
## 147   147 0.03212439 0.2066283 0.02471155 0.0007572386 0.02475593 0.0006200199
## 148   148 0.03279512 0.1727491 0.02526594 0.0013497432 0.05228611 0.0011412622
## 149   149 0.03212233 0.2067047 0.02471583 0.0007487306 0.02448356 0.0006148482
## 150   150 0.03238229 0.1939010 0.02490365 0.0007968104 0.02864210 0.0004684423
## 151   151 0.03275673 0.1744202 0.02523422 0.0012607549 0.05258216 0.0010422328
## 152   152 0.03236674 0.1945862 0.02488977 0.0007960599 0.02826401 0.0004687335
## 153   153 0.03261601 0.1823983 0.02506313 0.0011971036 0.04331338 0.0008337506
## 154   154 0.03273379 0.1753356 0.02524099 0.0011649759 0.04947155 0.0010052775
## 155   155 0.03212747 0.2065048 0.02471961 0.0007451542 0.02409970 0.0006054221
## 156   156 0.03230235 0.1973791 0.02485826 0.0009664567 0.03912220 0.0007777554
## 157   157 0.03227549 0.1983409 0.02485214 0.0008436627 0.03881141 0.0006468913
## 158   158 0.03285877 0.1682981 0.02535308 0.0012703161 0.05658262 0.0011175112
## 159   159 0.03244966 0.1894975 0.02496935 0.0010867507 0.04703700 0.0008743687
## 160   160 0.03230124 0.1974384 0.02484859 0.0009581915 0.03913552 0.0007714527
## 161   161 0.03258283 0.1833713 0.02507221 0.0006930945 0.04231538 0.0005990178
## 162   162 0.03237783 0.1942782 0.02488930 0.0012257032 0.04492003 0.0009677082
## 163   163 0.03229270 0.1977343 0.02483510 0.0008638382 0.04052628 0.0007397562
## 164   164 0.03213083 0.2063660 0.02471082 0.0007154935 0.02319874 0.0005939863
## 165   165 0.03229131 0.1977951 0.02483823 0.0008661526 0.04053791 0.0007432873
## 166   166 0.03212787 0.2064684 0.02471457 0.0007220392 0.02311780 0.0005953232
## 167   167 0.03236467 0.1946424 0.02492524 0.0008838034 0.03421602 0.0008231460
## 168   168 0.03254317 0.1855407 0.02502903 0.0012894299 0.05395799 0.0010496752
## 169   169 0.03238119 0.1939853 0.02490309 0.0007779993 0.02780307 0.0004557753
## 170   170 0.03213389 0.2062221 0.02471898 0.0007266104 0.02328550 0.0005914244
## 171   171 0.03230372 0.1974000 0.02485292 0.0010141597 0.03631847 0.0007877086
## 172   172 0.03213171 0.2063021 0.02472116 0.0007275140 0.02313804 0.0005910438
## 173   173 0.03212436 0.2066456 0.02471346 0.0007305029 0.02332999 0.0005987271
## 174   174 0.03236115 0.1948452 0.02492836 0.0008823393 0.03377038 0.0008177006
## 175   175 0.03212588 0.2065730 0.02471868 0.0007287127 0.02345189 0.0005973729
## 176   176 0.03230320 0.1973545 0.02486245 0.0009675710 0.03941914 0.0007817729
## 177   177 0.03233930 0.1955725 0.02490764 0.0007389759 0.04430253 0.0007780034
## 178   178 0.03212460 0.2066435 0.02472257 0.0007308067 0.02353279 0.0005980228
## 179   179 0.03211966 0.2068668 0.02471943 0.0007344497 0.02365057 0.0005986615
## 180   180 0.03212345 0.2067046 0.02472209 0.0007317950 0.02354773 0.0005965431
## 181   181 0.03227059 0.1986670 0.02484626 0.0008333514 0.03838499 0.0006473446
## 182   182 0.03212549 0.2066035 0.02471853 0.0007340489 0.02363249 0.0006065225
## 183   183 0.03212182 0.2067590 0.02471665 0.0007372081 0.02365035 0.0006074755
## 184   184 0.03228411 0.1983258 0.02487134 0.0011314842 0.04350718 0.0009678256
## 185   185 0.03231140 0.1968470 0.02489048 0.0009759886 0.03877548 0.0008057550
## 186   186 0.03261688 0.1826699 0.02507366 0.0012117376 0.04338476 0.0008449042
## 187   187 0.03212354 0.2067003 0.02472043 0.0007349509 0.02385099 0.0006079329
## 188   188 0.03271750 0.1760710 0.02524236 0.0010796804 0.04977342 0.0009309751
## 189   189 0.03212454 0.2066545 0.02472041 0.0007402202 0.02392888 0.0006107112
## 190   190 0.03237661 0.1941804 0.02494091 0.0009262456 0.03585763 0.0008543306
## 191   191 0.03227252 0.1986018 0.02484862 0.0008484927 0.03888484 0.0006611327
## 192   192 0.03212279 0.2067393 0.02471832 0.0007429165 0.02397257 0.0006142717
## 193   193 0.03212049 0.2068400 0.02471873 0.0007441163 0.02400649 0.0006163243
## 194   194 0.03236386 0.1948409 0.02489572 0.0007700140 0.02684707 0.0004516523
## 195   195 0.03254624 0.1853773 0.02507973 0.0009996753 0.04662736 0.0009464343
## 196   196 0.03211866 0.2069436 0.02471517 0.0007440972 0.02388126 0.0006151766
## 197   197 0.03212030 0.2068781 0.02471536 0.0007446741 0.02398357 0.0006153619
## 198   198 0.03212070 0.2068622 0.02471730 0.0007420512 0.02392750 0.0006132222
## 199   199 0.03254132 0.1855151 0.02507159 0.0009709762 0.05386286 0.0009242990
## 200   200 0.03247202 0.1883849 0.02502590 0.0010534061 0.04898955 0.0008330219
## 201   201 0.03231617 0.1969197 0.02486917 0.0010106702 0.04147785 0.0008086191
## 202   202 0.03212045 0.2068743 0.02471308 0.0007398835 0.02397711 0.0006106790
## 203   203 0.03229894 0.1976979 0.02485596 0.0009101831 0.04240294 0.0007931080
## 204   204 0.03211407 0.2071354 0.02470865 0.0007444526 0.02399015 0.0006109085
## 205   205 0.03229148 0.1981582 0.02487531 0.0011880177 0.04578411 0.0010150249
## 206   206 0.03211671 0.2070267 0.02471071 0.0007447954 0.02393297 0.0006106550
## 207   207 0.03211887 0.2069371 0.02471254 0.0007427624 0.02402469 0.0006106533
## 208   208 0.03261720 0.1824213 0.02511071 0.0008691547 0.03283763 0.0006916846
## 209   209 0.03212021 0.2068822 0.02471515 0.0007409750 0.02398888 0.0006081807
## 210   210 0.03212055 0.2068709 0.02471569 0.0007407612 0.02400551 0.0006075216
## 211   211 0.03212133 0.2068386 0.02471700 0.0007418947 0.02403101 0.0006077557
## 212   212 0.03231318 0.1968899 0.02488291 0.0009903616 0.03938384 0.0008081808
## 213   213 0.03212086 0.2068608 0.02471562 0.0007435165 0.02402960 0.0006077945
## 214   214 0.03212133 0.2068388 0.02471609 0.0007441390 0.02405444 0.0006079927
## 215   215 0.03268063 0.1801816 0.02516311 0.0014002530 0.05227637 0.0011752653
## 216   216 0.03230009 0.1976550 0.02485208 0.0010396276 0.03742624 0.0008042829
## 217   217 0.03212368 0.2067302 0.02471694 0.0007412252 0.02386297 0.0006050774
## 218   218 0.03212379 0.2067215 0.02471769 0.0007408228 0.02386854 0.0006057193
## 219   219 0.03212279 0.2067716 0.02471636 0.0007421437 0.02393657 0.0006064402
## 220   220 0.03239850 0.1934103 0.02495784 0.0009593283 0.03735062 0.0008821692
## 221   221 0.03212575 0.2066443 0.02471894 0.0007413844 0.02395601 0.0006063551
## 222   222 0.03255048 0.1851097 0.02508822 0.0009753751 0.05303685 0.0009280365
## 223   223 0.03233454 0.1962169 0.02489273 0.0010401791 0.04259350 0.0008456203
## 224   224 0.03258596 0.1843012 0.02507020 0.0014725559 0.05340019 0.0011604255
## 225   225 0.03212529 0.2066575 0.02471795 0.0007423461 0.02394726 0.0006068688
## 226   226 0.03233024 0.1963998 0.02488963 0.0010301119 0.04208109 0.0008380879
## 227   227 0.03230123 0.1975935 0.02487127 0.0008882659 0.04111235 0.0006762506
## 228   228 0.03237485 0.1943663 0.02489854 0.0007866438 0.02791711 0.0004657703
## 229   229 0.03212581 0.2066407 0.02471867 0.0007424296 0.02396027 0.0006065668
## 230   230 0.03233011 0.1962688 0.02489453 0.0010210913 0.04062813 0.0008329102
## 231   231 0.03232256 0.1967568 0.02487605 0.0009375355 0.04385260 0.0008125199
## 232   232 0.03254075 0.1857811 0.02502507 0.0010065551 0.03596151 0.0006477208
## 233   233 0.03232399 0.1968593 0.02490264 0.0012425605 0.04796890 0.0010621841
## 234   234 0.03212530 0.2066589 0.02471809 0.0007407540 0.02389895 0.0006053082
## 235   235 0.03242393 0.1928416 0.02495409 0.0013546307 0.04903128 0.0011069195
## 236   236 0.03246543 0.1890727 0.02499402 0.0010984918 0.04737600 0.0008141455
## 237   237 0.03271168 0.1773100 0.02522445 0.0015345402 0.05998383 0.0012653944
## 238   238 0.03271903 0.1767379 0.02522470 0.0012565159 0.05810254 0.0009799755
## 239   239 0.03336489 0.1468546 0.02575478 0.0013820283 0.06609633 0.0013056925
## 240   240 0.03212568 0.2066400 0.02471817 0.0007406867 0.02389293 0.0006054287
## [1] "Best Model"
##    nvmax
## 11    11

## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

## [1] "Coefficients of final model:"
##                  Estimate         2.5 %        97.5 %
## (Intercept)  1.9943108240  1.987270e+00  2.001352e+00
## x4          -0.0000563195 -7.366668e-05 -3.897232e-05
## x7           0.0111695138  9.941573e-03  1.239745e-02
## x9           0.0032703436  2.633200e-03  3.907487e-03
## x10          0.0010757959  4.818071e-04  1.669785e-03
## x16          0.0009034675  4.932559e-04  1.313679e-03
## x17          0.0013944496  7.693954e-04  2.019504e-03
## x21          0.0001290356  4.794220e-05  2.101289e-04
## stat14      -0.0009237427 -1.396307e-03 -4.511779e-04
## stat98       0.0035049260  3.034519e-03  3.975332e-03
## stat110     -0.0031947718 -3.668557e-03 -2.720987e-03
## x18.sqrt     0.0265348474  2.470918e-02  2.836052e-02

Test

if (algo.stepwise.caret == TRUE){
  test.model(model.stepwise, data.test
             ,method = 'leapSeq',subopt = NULL
             ,formula = formula, feature.names = feature.names, label.names = label.names
             ,id = id
             ,draw.limits = TRUE, transformation = t)
  
}
## [1] "Summary of predicted values: "
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   2.043   2.084   2.097   2.096   2.110   2.148 
## [1] "leapSeq  Test MSE: 0.00103207531444324"

LASSO with CV

Train

if (algo.LASSO.caret == TRUE){
  set.seed(1)
  tune.grid= expand.grid(alpha = 1,lambda = 10^seq(from=-4,to=-2,length=100))
  returned = train.caret.glmselect(formula = formula
                                   ,data =  data.train
                                   ,method = "glmnet"
                                   ,subopt = 'LASSO'
                                   ,tune.grid = tune.grid
                                   ,feature.names = feature.names)
  model.LASSO.caret = returned$model
}
## Aggregating results
## Selecting tuning parameters
## Fitting alpha = 1, lambda = 0.000614 on full training set
## glmnet 
## 
## 5584 samples
##  240 predictor
## 
## No pre-processing
## Resampling: Cross-Validated (10 fold) 
## Summary of sample sizes: 5026, 5026, 5026, 5025, 5025, 5026, ... 
## Resampling results across tuning parameters:
## 
##   lambda        RMSE        Rsquared   MAE       
##   0.0001000000  0.03190271  0.2144654  0.02454145
##   0.0001047616  0.03189414  0.2147859  0.02453422
##   0.0001097499  0.03188531  0.2151179  0.02452686
##   0.0001149757  0.03187622  0.2154622  0.02451931
##   0.0001204504  0.03186676  0.2158236  0.02451148
##   0.0001261857  0.03185709  0.2161949  0.02450344
##   0.0001321941  0.03184721  0.2165771  0.02449534
##   0.0001384886  0.03183712  0.2169699  0.02448693
##   0.0001450829  0.03182696  0.2173687  0.02447837
##   0.0001519911  0.03181655  0.2177801  0.02446977
##   0.0001592283  0.03180604  0.2181990  0.02446146
##   0.0001668101  0.03179535  0.2186288  0.02445289
##   0.0001747528  0.03178447  0.2190708  0.02444400
##   0.0001830738  0.03177341  0.2195248  0.02443501
##   0.0001917910  0.03176203  0.2199978  0.02442575
##   0.0002009233  0.03175067  0.2204744  0.02441655
##   0.0002104904  0.03173947  0.2209480  0.02440763
##   0.0002205131  0.03172845  0.2214188  0.02439873
##   0.0002310130  0.03171753  0.2218896  0.02439019
##   0.0002420128  0.03170655  0.2223700  0.02438152
##   0.0002535364  0.03169503  0.2228824  0.02437206
##   0.0002656088  0.03168359  0.2233993  0.02436297
##   0.0002782559  0.03167175  0.2239435  0.02435399
##   0.0002915053  0.03165993  0.2244965  0.02434518
##   0.0003053856  0.03164790  0.2250702  0.02433642
##   0.0003199267  0.03163595  0.2256510  0.02432782
##   0.0003351603  0.03162372  0.2262581  0.02431946
##   0.0003511192  0.03161185  0.2268593  0.02431165
##   0.0003678380  0.03160042  0.2274520  0.02430444
##   0.0003853529  0.03158955  0.2280282  0.02429743
##   0.0004037017  0.03157914  0.2285932  0.02429046
##   0.0004229243  0.03156909  0.2291560  0.02428446
##   0.0004430621  0.03155981  0.2296966  0.02427874
##   0.0004641589  0.03155088  0.2302360  0.02427359
##   0.0004862602  0.03154251  0.2307611  0.02426926
##   0.0005094138  0.03153514  0.2312513  0.02426557
##   0.0005336699  0.03152928  0.2316796  0.02426285
##   0.0005590810  0.03152484  0.2320525  0.02426129
##   0.0005857021  0.03152315  0.2323010  0.02426204
##   0.0006135907  0.03152309  0.2324790  0.02426444
##   0.0006428073  0.03152603  0.2325134  0.02426905
##   0.0006734151  0.03153079  0.2324693  0.02427491
##   0.0007054802  0.03153794  0.2323141  0.02428215
##   0.0007390722  0.03154677  0.2320882  0.02429079
##   0.0007742637  0.03155851  0.2317254  0.02430201
##   0.0008111308  0.03157185  0.2312972  0.02431494
##   0.0008497534  0.03158686  0.2308023  0.02432953
##   0.0008902151  0.03160319  0.2302556  0.02434514
##   0.0009326033  0.03161901  0.2297603  0.02436121
##   0.0009770100  0.03163637  0.2292050  0.02437886
##   0.0010235310  0.03165402  0.2286602  0.02439776
##   0.0010722672  0.03167316  0.2280605  0.02441787
##   0.0011233240  0.03169253  0.2274738  0.02443760
##   0.0011768120  0.03171390  0.2268037  0.02445868
##   0.0012328467  0.03173476  0.2261932  0.02447971
##   0.0012915497  0.03175766  0.2255052  0.02450238
##   0.0013530478  0.03178113  0.2248254  0.02452564
##   0.0014174742  0.03180668  0.2240677  0.02455081
##   0.0014849683  0.03183380  0.2232641  0.02457694
##   0.0015556761  0.03186237  0.2224327  0.02460443
##   0.0016297508  0.03189074  0.2216815  0.02463169
##   0.0017073526  0.03192077  0.2209023  0.02466095
##   0.0017886495  0.03194999  0.2202524  0.02469058
##   0.0018738174  0.03198168  0.2195332  0.02472253
##   0.0019630407  0.03201446  0.2188311  0.02475566
##   0.0020565123  0.03205047  0.2180254  0.02479145
##   0.0021544347  0.03208984  0.2171126  0.02483014
##   0.0022570197  0.03213299  0.2160683  0.02487160
##   0.0023644894  0.03217959  0.2149148  0.02491568
##   0.0024770764  0.03222991  0.2136380  0.02496258
##   0.0025950242  0.03228033  0.2124913  0.02500946
##   0.0027185882  0.03233433  0.2112550  0.02505870
##   0.0028480359  0.03239065  0.2100386  0.02510947
##   0.0029836472  0.03245226  0.2086208  0.02516456
##   0.0031257158  0.03251962  0.2069640  0.02522339
##   0.0032745492  0.03259339  0.2050144  0.02528687
##   0.0034304693  0.03267417  0.2027112  0.02535527
##   0.0035938137  0.03276241  0.1999937  0.02542901
##   0.0037649358  0.03285823  0.1968194  0.02550791
##   0.0039442061  0.03296073  0.1932161  0.02559150
##   0.0041320124  0.03306246  0.1897863  0.02567445
##   0.0043287613  0.03317054  0.1859806  0.02576127
##   0.0045348785  0.03327979  0.1822245  0.02584869
##   0.0047508102  0.03339911  0.1776468  0.02594242
##   0.0049770236  0.03352944  0.1720322  0.02604573
##   0.0052140083  0.03367061  0.1652223  0.02615737
##   0.0054622772  0.03381699  0.1576297  0.02627107
##   0.0057223677  0.03396547  0.1495244  0.02638473
##   0.0059948425  0.03409635  0.1430791  0.02648246
##   0.0062802914  0.03423105  0.1360314  0.02658196
##   0.0065793322  0.03434908  0.1307364  0.02666487
##   0.0068926121  0.03447498  0.1243557  0.02675270
##   0.0072208090  0.03459904  0.1178950  0.02683823
##   0.0075646333  0.03471948  0.1117274  0.02692217
##   0.0079248290  0.03480372  0.1111523  0.02697830
##   0.0083021757  0.03489409  0.1107374  0.02703862
##   0.0086974900  0.03499020  0.1107374  0.02710390
##   0.0091116276  0.03509537  0.1107374  0.02717632
##   0.0095454846  0.03521043  0.1107374  0.02725612
##   0.0100000000  0.03533629  0.1107374  0.02734383
## 
## Tuning parameter 'alpha' was held constant at a value of 1
## RMSE was used to select the optimal model using the smallest value.
## The final values used for the model were alpha = 1 and lambda = 0.0006135907.

##    alpha       lambda
## 40     1 0.0006135907
##     alpha       lambda       RMSE  Rsquared        MAE       RMSESD RsquaredSD        MAESD
## 1       1 0.0001000000 0.03190271 0.2144654 0.02454145 0.0007394030 0.02350810 0.0006117962
## 2       1 0.0001047616 0.03189414 0.2147859 0.02453422 0.0007394684 0.02350126 0.0006121414
## 3       1 0.0001097499 0.03188531 0.2151179 0.02452686 0.0007394897 0.02349322 0.0006122428
## 4       1 0.0001149757 0.03187622 0.2154622 0.02451931 0.0007394557 0.02348266 0.0006121873
## 5       1 0.0001204504 0.03186676 0.2158236 0.02451148 0.0007392446 0.02346629 0.0006119792
## 6       1 0.0001261857 0.03185709 0.2161949 0.02450344 0.0007390227 0.02344593 0.0006117518
## 7       1 0.0001321941 0.03184721 0.2165771 0.02449534 0.0007389286 0.02342324 0.0006115184
## 8       1 0.0001384886 0.03183712 0.2169699 0.02448693 0.0007388938 0.02340211 0.0006113427
## 9       1 0.0001450829 0.03182696 0.2173687 0.02447837 0.0007390322 0.02338713 0.0006112145
## 10      1 0.0001519911 0.03181655 0.2177801 0.02446977 0.0007390960 0.02336916 0.0006111745
## 11      1 0.0001592283 0.03180604 0.2181990 0.02446146 0.0007393279 0.02335158 0.0006112963
## 12      1 0.0001668101 0.03179535 0.2186288 0.02445289 0.0007395850 0.02333438 0.0006114187
## 13      1 0.0001747528 0.03178447 0.2190708 0.02444400 0.0007399694 0.02331901 0.0006119651
## 14      1 0.0001830738 0.03177341 0.2195248 0.02443501 0.0007404217 0.02330706 0.0006125844
## 15      1 0.0001917910 0.03176203 0.2199978 0.02442575 0.0007410064 0.02329542 0.0006132019
## 16      1 0.0002009233 0.03175067 0.2204744 0.02441655 0.0007416469 0.02328080 0.0006137531
## 17      1 0.0002104904 0.03173947 0.2209480 0.02440763 0.0007424796 0.02326645 0.0006147318
## 18      1 0.0002205131 0.03172845 0.2214188 0.02439873 0.0007431696 0.02323892 0.0006156781
## 19      1 0.0002310130 0.03171753 0.2218896 0.02439019 0.0007434228 0.02318963 0.0006161595
## 20      1 0.0002420128 0.03170655 0.2223700 0.02438152 0.0007435908 0.02313947 0.0006164338
## 21      1 0.0002535364 0.03169503 0.2228824 0.02437206 0.0007434450 0.02307306 0.0006159699
## 22      1 0.0002656088 0.03168359 0.2233993 0.02436297 0.0007433120 0.02300229 0.0006152005
## 23      1 0.0002782559 0.03167175 0.2239435 0.02435399 0.0007428041 0.02290590 0.0006139342
## 24      1 0.0002915053 0.03165993 0.2244965 0.02434518 0.0007424213 0.02281559 0.0006126886
## 25      1 0.0003053856 0.03164790 0.2250702 0.02433642 0.0007421332 0.02272601 0.0006113223
## 26      1 0.0003199267 0.03163595 0.2256510 0.02432782 0.0007419496 0.02265130 0.0006101811
## 27      1 0.0003351603 0.03162372 0.2262581 0.02431946 0.0007418650 0.02258680 0.0006090833
## 28      1 0.0003511192 0.03161185 0.2268593 0.02431165 0.0007419187 0.02252997 0.0006079242
## 29      1 0.0003678380 0.03160042 0.2274520 0.02430444 0.0007420205 0.02248746 0.0006066079
## 30      1 0.0003853529 0.03158955 0.2280282 0.02429743 0.0007422441 0.02244443 0.0006051530
## 31      1 0.0004037017 0.03157914 0.2285932 0.02429046 0.0007420263 0.02238922 0.0006031878
## 32      1 0.0004229243 0.03156909 0.2291560 0.02428446 0.0007420057 0.02235483 0.0006014143
## 33      1 0.0004430621 0.03155981 0.2296966 0.02427874 0.0007418582 0.02234123 0.0005989639
## 34      1 0.0004641589 0.03155088 0.2302360 0.02427359 0.0007417976 0.02234701 0.0005964558
## 35      1 0.0004862602 0.03154251 0.2307611 0.02426926 0.0007411469 0.02236224 0.0005939990
## 36      1 0.0005094138 0.03153514 0.2312513 0.02426557 0.0007402845 0.02236592 0.0005909291
## 37      1 0.0005336699 0.03152928 0.2316796 0.02426285 0.0007387387 0.02235211 0.0005879360
## 38      1 0.0005590810 0.03152484 0.2320525 0.02426129 0.0007369529 0.02231904 0.0005847095
## 39      1 0.0005857021 0.03152315 0.2323010 0.02426204 0.0007343731 0.02229532 0.0005814910
## 40      1 0.0006135907 0.03152309 0.2324790 0.02426444 0.0007318168 0.02225113 0.0005785909
## 41      1 0.0006428073 0.03152603 0.2325134 0.02426905 0.0007296733 0.02222789 0.0005757620
## 42      1 0.0006734151 0.03153079 0.2324693 0.02427491 0.0007277034 0.02219165 0.0005730695
## 43      1 0.0007054802 0.03153794 0.2323141 0.02428215 0.0007263464 0.02216967 0.0005710969
## 44      1 0.0007390722 0.03154677 0.2320882 0.02429079 0.0007254756 0.02217516 0.0005689687
## 45      1 0.0007742637 0.03155851 0.2317254 0.02430201 0.0007250007 0.02224684 0.0005675354
## 46      1 0.0008111308 0.03157185 0.2312972 0.02431494 0.0007249360 0.02235860 0.0005663985
## 47      1 0.0008497534 0.03158686 0.2308023 0.02432953 0.0007251667 0.02253413 0.0005653006
## 48      1 0.0008902151 0.03160319 0.2302556 0.02434514 0.0007250196 0.02273754 0.0005639068
## 49      1 0.0009326033 0.03161901 0.2297603 0.02436121 0.0007249412 0.02289676 0.0005627742
## 50      1 0.0009770100 0.03163637 0.2292050 0.02437886 0.0007250968 0.02308603 0.0005619073
## 51      1 0.0010235310 0.03165402 0.2286602 0.02439776 0.0007247242 0.02323280 0.0005606970
## 52      1 0.0010722672 0.03167316 0.2280605 0.02441787 0.0007245577 0.02342046 0.0005598561
## 53      1 0.0011233240 0.03169253 0.2274738 0.02443760 0.0007247053 0.02360544 0.0005591817
## 54      1 0.0011768120 0.03171390 0.2268037 0.02445868 0.0007244583 0.02377651 0.0005580432
## 55      1 0.0012328467 0.03173476 0.2261932 0.02447971 0.0007243583 0.02386430 0.0005566820
## 56      1 0.0012915497 0.03175766 0.2255052 0.02450238 0.0007241455 0.02394754 0.0005554957
## 57      1 0.0013530478 0.03178113 0.2248254 0.02452564 0.0007230493 0.02394228 0.0005545058
## 58      1 0.0014174742 0.03180668 0.2240677 0.02455081 0.0007213968 0.02392449 0.0005522177
## 59      1 0.0014849683 0.03183380 0.2232641 0.02457694 0.0007191405 0.02386439 0.0005496581
## 60      1 0.0015556761 0.03186237 0.2224327 0.02460443 0.0007167096 0.02388080 0.0005466460
## 61      1 0.0016297508 0.03189074 0.2216815 0.02463169 0.0007140884 0.02393707 0.0005427227
## 62      1 0.0017073526 0.03192077 0.2209023 0.02466095 0.0007119097 0.02409880 0.0005389978
## 63      1 0.0017886495 0.03194999 0.2202524 0.02469058 0.0007112454 0.02431390 0.0005363139
## 64      1 0.0018738174 0.03198168 0.2195332 0.02472253 0.0007106754 0.02455921 0.0005339988
## 65      1 0.0019630407 0.03201446 0.2188311 0.02475566 0.0007100052 0.02478785 0.0005318817
## 66      1 0.0020565123 0.03205047 0.2180254 0.02479145 0.0007094207 0.02503483 0.0005305832
## 67      1 0.0021544347 0.03208984 0.2171126 0.02483014 0.0007090416 0.02530282 0.0005299464
## 68      1 0.0022570197 0.03213299 0.2160683 0.02487160 0.0007085130 0.02557737 0.0005291116
## 69      1 0.0023644894 0.03217959 0.2149148 0.02491568 0.0007073644 0.02581593 0.0005279470
## 70      1 0.0024770764 0.03222991 0.2136380 0.02496258 0.0007057550 0.02606126 0.0005260746
## 71      1 0.0025950242 0.03228033 0.2124913 0.02500946 0.0007024218 0.02607484 0.0005230471
## 72      1 0.0027185882 0.03233433 0.2112550 0.02505870 0.0006988856 0.02615426 0.0005206359
## 73      1 0.0028480359 0.03239065 0.2100386 0.02510947 0.0006959879 0.02626721 0.0005194000
## 74      1 0.0029836472 0.03245226 0.2086208 0.02516456 0.0006929834 0.02638031 0.0005179562
## 75      1 0.0031257158 0.03251962 0.2069640 0.02522339 0.0006898757 0.02649501 0.0005164134
## 76      1 0.0032745492 0.03259339 0.2050144 0.02528687 0.0006866039 0.02660342 0.0005148057
## 77      1 0.0034304693 0.03267417 0.2027112 0.02535527 0.0006831627 0.02670063 0.0005132502
## 78      1 0.0035938137 0.03276241 0.1999937 0.02542901 0.0006797825 0.02676901 0.0005114157
## 79      1 0.0037649358 0.03285823 0.1968194 0.02550791 0.0006771743 0.02675908 0.0005093543
## 80      1 0.0039442061 0.03296073 0.1932161 0.02559150 0.0006749052 0.02668983 0.0005074250
## 81      1 0.0041320124 0.03306246 0.1897863 0.02567445 0.0006744275 0.02603599 0.0005081192
## 82      1 0.0043287613 0.03317054 0.1859806 0.02576127 0.0006735030 0.02560924 0.0005079720
## 83      1 0.0045348785 0.03327979 0.1822245 0.02584869 0.0006721281 0.02516915 0.0005073799
## 84      1 0.0047508102 0.03339911 0.1776468 0.02594242 0.0006711143 0.02465790 0.0005067750
## 85      1 0.0049770236 0.03352944 0.1720322 0.02604573 0.0006704727 0.02405735 0.0005066270
## 86      1 0.0052140083 0.03367061 0.1652223 0.02615737 0.0006698979 0.02331575 0.0005049030
## 87      1 0.0054622772 0.03381699 0.1576297 0.02627107 0.0006684952 0.02188436 0.0005037608
## 88      1 0.0057223677 0.03396547 0.1495244 0.02638473 0.0006659512 0.02146618 0.0005014981
## 89      1 0.0059948425 0.03409635 0.1430791 0.02648246 0.0006642036 0.02083604 0.0004970764
## 90      1 0.0062802914 0.03423105 0.1360314 0.02658196 0.0006604601 0.02104041 0.0004913022
## 91      1 0.0065793322 0.03434908 0.1307364 0.02666487 0.0006569373 0.02032876 0.0004868250
## 92      1 0.0068926121 0.03447498 0.1243557 0.02675270 0.0006528054 0.01997225 0.0004809552
## 93      1 0.0072208090 0.03459904 0.1178950 0.02683823 0.0006521126 0.01873740 0.0004784223
## 94      1 0.0075646333 0.03471948 0.1117274 0.02692217 0.0006498951 0.01913629 0.0004765770
## 95      1 0.0079248290 0.03480372 0.1111523 0.02697830 0.0006548050 0.01863348 0.0004791280
## 96      1 0.0083021757 0.03489409 0.1107374 0.02703862 0.0006591118 0.01843699 0.0004813476
## 97      1 0.0086974900 0.03499020 0.1107374 0.02710390 0.0006627005 0.01843699 0.0004833738
## 98      1 0.0091116276 0.03509537 0.1107374 0.02717632 0.0006667329 0.01843699 0.0004850861
## 99      1 0.0095454846 0.03521043 0.1107374 0.02725612 0.0006712469 0.01843699 0.0004855545
## 100     1 0.0100000000 0.03533629 0.1107374 0.02734383 0.0006762820 0.01843699 0.0004856660

## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

## [1] "Coefficients"
##                model.coef
## (Intercept)  1.998342e+00
## x4          -4.287751e-05
## x7           1.021217e-02
## x8           2.103332e-04
## x9           2.779636e-03
## x10          6.234475e-04
## x11          6.509776e+04
## x14         -2.941676e-05
## x16          5.864226e-04
## x17          9.365317e-04
## x21          7.116198e-05
## stat3        1.047522e-06
## stat4       -2.735986e-04
## stat5       -1.000693e-04
## stat13      -2.315316e-04
## stat14      -5.723076e-04
## stat23       2.539117e-04
## stat24      -2.215479e-04
## stat25      -1.175249e-04
## stat26      -4.756610e-05
## stat35      -6.700945e-05
## stat37      -1.275452e-04
## stat41      -2.940955e-04
## stat43      -3.979572e-05
## stat51       9.289780e-06
## stat54      -4.758027e-05
## stat59       1.661202e-04
## stat60       6.644573e-05
## stat91      -1.781202e-04
## stat98       3.150897e-03
## stat100      3.834476e-04
## stat103     -2.181209e-05
## stat104     -7.016582e-05
## stat106     -4.220241e-06
## stat110     -2.865590e-03
## stat114      4.268180e-07
## stat131      5.979429e-05
## stat144      7.032314e-05
## stat146     -1.292041e-04
## stat149     -3.490215e-04
## stat156      2.325891e-04
## stat195      4.356156e-05
## stat202     -1.376595e-05
## stat204     -2.832993e-04
## stat214     -2.233937e-05
## stat217      1.721133e-04
## x18.sqrt     2.511251e-02

Test

if (algo.LASSO.caret == TRUE){
  test.model(model.LASSO.caret, data.test
             ,method = 'glmnet',subopt = "LASSO"
             ,formula = formula, feature.names = feature.names, label.names = label.names
             ,draw.limits = TRUE, transformation = t)
}
## [1] "Summary of predicted values: "
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   2.049   2.084   2.097   2.096   2.109   2.140 
## [1] "glmnet LASSO Test MSE: 0.00103788978157203"

LARS with CV

Train

if (algo.LARS.caret == TRUE){
  set.seed(1)
  returned = train.caret.glmselect(formula = formula
                                   ,data =  data.train
                                   ,method = "lars"
                                   ,subopt = 'NULL'
                                   ,feature.names = feature.names)
  model.LARS.caret = returned$model
}
## Warning in nominalTrainWorkflow(x = x, y = y, wts = weights, info = trainInfo, : There were missing values in resampled
## performance measures.
## Aggregating results
## Selecting tuning parameters
## Fitting fraction = 0.374 on full training set
## Least Angle Regression 
## 
## 5584 samples
##  240 predictor
## 
## Pre-processing: centered (240), scaled (240) 
## Resampling: Cross-Validated (10 fold) 
## Summary of sample sizes: 5026, 5026, 5026, 5025, 5025, 5026, ... 
## Resampling results across tuning parameters:
## 
##   fraction    RMSE        Rsquared   MAE       
##   0.00000000  0.03592121        NaN  0.02775138
##   0.01010101  0.03549321  0.1107374  0.02745325
##   0.02020202  0.03511281  0.1107374  0.02718792
##   0.03030303  0.03478158  0.1107374  0.02696330
##   0.04040404  0.03449727  0.1233921  0.02676654
##   0.05050505  0.03424128  0.1356525  0.02658789
##   0.06060606  0.03400785  0.1473743  0.02641609
##   0.07070707  0.03378802  0.1590250  0.02624775
##   0.08080808  0.03357686  0.1699324  0.02608249
##   0.09090909  0.03337762  0.1785918  0.02592585
##   0.10101010  0.03319129  0.1853278  0.02577822
##   0.11111111  0.03302282  0.1910499  0.02564264
##   0.12121212  0.03286544  0.1964940  0.02551420
##   0.13131313  0.03271417  0.2014549  0.02538945
##   0.14141414  0.03257330  0.2055040  0.02527056
##   0.15151515  0.03244319  0.2087738  0.02515765
##   0.16161616  0.03232543  0.2113825  0.02505197
##   0.17171717  0.03222011  0.2138857  0.02495486
##   0.18181818  0.03212280  0.2162374  0.02486280
##   0.19191919  0.03203363  0.2183239  0.02477575
##   0.20202020  0.03195776  0.2199931  0.02469900
##   0.21212121  0.03189107  0.2216240  0.02463328
##   0.22222222  0.03183040  0.2233642  0.02457488
##   0.23232323  0.03177907  0.2248948  0.02452489
##   0.24242424  0.03173865  0.2260772  0.02448394
##   0.25252525  0.03170389  0.2271076  0.02444847
##   0.26262626  0.03167248  0.2280928  0.02441759
##   0.27272727  0.03164589  0.2288865  0.02438971
##   0.28282828  0.03162197  0.2296235  0.02436467
##   0.29292929  0.03159971  0.2303388  0.02434211
##   0.30303030  0.03157874  0.2310489  0.02432155
##   0.31313131  0.03156173  0.2315992  0.02430552
##   0.32323232  0.03154803  0.2320180  0.02429228
##   0.33333333  0.03153681  0.2323416  0.02428132
##   0.34343434  0.03152951  0.2324942  0.02427372
##   0.35353535  0.03152481  0.2325401  0.02426774
##   0.36363636  0.03152236  0.2324904  0.02426348
##   0.37373737  0.03152211  0.2323449  0.02426146
##   0.38383838  0.03152373  0.2321187  0.02426054
##   0.39393939  0.03152655  0.2318482  0.02426129
##   0.40404040  0.03153109  0.2315051  0.02426338
##   0.41414141  0.03153657  0.2311284  0.02426600
##   0.42424242  0.03154252  0.2307384  0.02426923
##   0.43434343  0.03154915  0.2303231  0.02427274
##   0.44444444  0.03155575  0.2299191  0.02427619
##   0.45454545  0.03156261  0.2295110  0.02428055
##   0.46464646  0.03156938  0.2291177  0.02428478
##   0.47474747  0.03157655  0.2287130  0.02428915
##   0.48484848  0.03158419  0.2282948  0.02429406
##   0.49494949  0.03159214  0.2278679  0.02429935
##   0.50505051  0.03160022  0.2274395  0.02430454
##   0.51515152  0.03160838  0.2270130  0.02430972
##   0.52525253  0.03161673  0.2265826  0.02431516
##   0.53535354  0.03162544  0.2261422  0.02432109
##   0.54545455  0.03163421  0.2257061  0.02432718
##   0.55555556  0.03164303  0.2252739  0.02433359
##   0.56565657  0.03165185  0.2248479  0.02433995
##   0.57575758  0.03166047  0.2244389  0.02434604
##   0.58585859  0.03166897  0.2240418  0.02435201
##   0.59595960  0.03167783  0.2236318  0.02435877
##   0.60606061  0.03168665  0.2232287  0.02436558
##   0.61616162  0.03169524  0.2228425  0.02437256
##   0.62626263  0.03170373  0.2224664  0.02437973
##   0.63636364  0.03171237  0.2220869  0.02438675
##   0.64646465  0.03172090  0.2217179  0.02439337
##   0.65656566  0.03172960  0.2213448  0.02440022
##   0.66666667  0.03173850  0.2209657  0.02440728
##   0.67676768  0.03174776  0.2205740  0.02441468
##   0.68686869  0.03175738  0.2201696  0.02442237
##   0.69696970  0.03176727  0.2197579  0.02443044
##   0.70707071  0.03177724  0.2193468  0.02443851
##   0.71717172  0.03178721  0.2189406  0.02444673
##   0.72727273  0.03179733  0.2185309  0.02445492
##   0.73737374  0.03180750  0.2181248  0.02446299
##   0.74747475  0.03181800  0.2177068  0.02447151
##   0.75757576  0.03182867  0.2172855  0.02448023
##   0.76767677  0.03183944  0.2168640  0.02448931
##   0.77777778  0.03185028  0.2164444  0.02449824
##   0.78787879  0.03186125  0.2160230  0.02450726
##   0.79797980  0.03187255  0.2155911  0.02451662
##   0.80808081  0.03188388  0.2151621  0.02452598
##   0.81818182  0.03189517  0.2147387  0.02453549
##   0.82828283  0.03190667  0.2143104  0.02454516
##   0.83838384  0.03191846  0.2138737  0.02455492
##   0.84848485  0.03193037  0.2134360  0.02456487
##   0.85858586  0.03194244  0.2129950  0.02457484
##   0.86868687  0.03195474  0.2125477  0.02458488
##   0.87878788  0.03196720  0.2120981  0.02459502
##   0.88888889  0.03197983  0.2116460  0.02460522
##   0.89898990  0.03199247  0.2111971  0.02461529
##   0.90909091  0.03200512  0.2107518  0.02462530
##   0.91919192  0.03201799  0.2103014  0.02463541
##   0.92929293  0.03203093  0.2098519  0.02464548
##   0.93939394  0.03204413  0.2093953  0.02465563
##   0.94949495  0.03205769  0.2089269  0.02466596
##   0.95959596  0.03207129  0.2084610  0.02467622
##   0.96969697  0.03208469  0.2080081  0.02468639
##   0.97979798  0.03209823  0.2075528  0.02469684
##   0.98989899  0.03211186  0.2070981  0.02470744
##   1.00000000  0.03212568  0.2066400  0.02471817
## 
## RMSE was used to select the optimal model using the smallest value.
## The final value used for the model was fraction = 0.3737374.

##     fraction
## 38 0.3737374
## Warning: Removed 1 rows containing missing values (geom_point).

## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

## [1] "Coefficients"
##            x4            x7            x8            x9           x10           x11           x14           x16 
## -2.069608e-03  6.898773e-03  6.397636e-04  3.630845e-03  8.986205e-04  4.087638e-04 -6.599386e-05  1.205132e-03 
##           x17           x21         stat3         stat4         stat5        stat13        stat14        stat23 
##  1.269714e-03  7.579729e-04  2.541253e-05 -5.038086e-04 -1.957314e-04 -4.330076e-04 -1.027616e-03  4.749886e-04 
##        stat24        stat25        stat26        stat35        stat37        stat41        stat43        stat51 
## -4.161709e-04 -2.362641e-04 -1.161015e-04 -1.488183e-04 -2.486764e-04 -5.396841e-04 -9.513741e-05  4.031533e-05 
##        stat54        stat59        stat60        stat91        stat92        stat98       stat100       stat103 
## -1.131561e-04  3.152082e-04  1.421247e-04 -3.375154e-04 -1.854312e-05  5.556434e-03  6.976173e-04 -6.574468e-05 
##       stat104       stat106       stat110       stat114       stat121       stat131       stat144       stat146 
## -1.522628e-04 -3.015687e-05 -5.025484e-03  2.331519e-05 -1.955973e-05  1.288268e-04  1.498213e-04 -2.514983e-04 
##       stat149       stat156       stat195       stat202       stat204       stat214       stat217      x18.sqrt 
## -6.254883e-04  4.295890e-04  1.031131e-04 -5.003651e-05 -5.286024e-04 -6.567020e-05  3.240432e-04  1.139096e-02

Test

if (algo.LARS.caret == TRUE){
  test.model(model.LARS.caret, data.test
             ,method = 'lars',subopt = NULL
             ,formula = formula, feature.names = feature.names, label.names = label.names
             ,draw.limits = TRUE, transformation = t)
}
## [1] "Summary of predicted values: "
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   2.048   2.084   2.097   2.096   2.109   2.141 
## [1] "lars  Test MSE: 0.00103767872694165"

Session Info

sessionInfo()
## R version 3.5.2 (2018-12-20)
## Platform: x86_64-w64-mingw32/x64 (64-bit)
## Running under: Windows 10 x64 (build 14393)
## 
## Matrix products: default
## 
## locale:
## [1] LC_COLLATE=English_United States.1252  LC_CTYPE=English_United States.1252    LC_MONETARY=English_United States.1252
## [4] LC_NUMERIC=C                           LC_TIME=English_United States.1252    
## 
## attached base packages:
## [1] parallel  stats     graphics  grDevices utils     datasets  methods   base     
## 
## other attached packages:
##  [1] knitr_1.22                 htmltools_0.3.6            reshape2_1.4.3             lars_1.2                  
##  [5] doParallel_1.0.14          iterators_1.0.10           caret_6.0-81               leaps_3.0                 
##  [9] ggforce_0.2.1              rlist_0.4.6.1              car_3.0-2                  carData_3.0-2             
## [13] bestNormalize_1.3.0        scales_1.0.0               onewaytests_2.0            caTools_1.17.1.2          
## [17] mosaic_1.5.0               mosaicData_0.17.0          ggformula_0.9.1            ggstance_0.3.1            
## [21] lattice_0.20-38            DT_0.5                     ggiraphExtra_0.2.9         ggiraph_0.6.0             
## [25] investr_1.4.0              glmnet_2.0-16              foreach_1.4.4              Matrix_1.2-15             
## [29] MASS_7.3-51.1              PerformanceAnalytics_1.5.2 xts_0.11-2                 zoo_1.8-4                 
## [33] forcats_0.4.0              stringr_1.4.0              dplyr_0.8.0.1              purrr_0.3.1               
## [37] readr_1.3.1                tidyr_0.8.3                tibble_2.0.1               ggplot2_3.1.0             
## [41] tidyverse_1.2.1            usdm_1.1-18                raster_2.8-19              sp_1.3-1                  
## [45] pacman_0.5.1              
## 
## loaded via a namespace (and not attached):
##  [1] readxl_1.3.1       backports_1.1.3    plyr_1.8.4         lazyeval_0.2.1     splines_3.5.2      mycor_0.1.1       
##  [7] crosstalk_1.0.0    leaflet_2.0.2      digest_0.6.18      magrittr_1.5       mosaicCore_0.6.0   openxlsx_4.1.0    
## [13] recipes_0.1.4      modelr_0.1.4       gower_0.2.0        colorspace_1.4-0   rvest_0.3.2        ggrepel_0.8.0     
## [19] haven_2.1.0        xfun_0.5           crayon_1.3.4       jsonlite_1.6       survival_2.43-3    glue_1.3.1        
## [25] polyclip_1.10-0    registry_0.5-1     gtable_0.2.0       ppcor_1.1          ipred_0.9-8        sjmisc_2.7.8      
## [31] abind_1.4-5        rngtools_1.3.1     bibtex_0.4.2       Rcpp_1.0.0         xtable_1.8-3       foreign_0.8-71    
## [37] stats4_3.5.2       lava_1.6.5         prodlim_2018.04.18 htmlwidgets_1.3    httr_1.4.0         RColorBrewer_1.1-2
## [43] pkgconfig_2.0.2    farver_1.1.0       nnet_7.3-12        labeling_0.3       tidyselect_0.2.5   rlang_0.3.1       
## [49] later_0.8.0        munsell_0.5.0      cellranger_1.1.0   tools_3.5.2        cli_1.0.1          generics_0.0.2    
## [55] moments_0.14       sjlabelled_1.0.17  broom_0.5.1        evaluate_0.13      ggdendro_0.1-20    yaml_2.2.0        
## [61] ModelMetrics_1.2.2 zip_2.0.1          nlme_3.1-137       doRNG_1.7.1        mime_0.6           xml2_1.2.0        
## [67] compiler_3.5.2     rstudioapi_0.9.0   curl_3.3           tweenr_1.0.1       stringi_1.4.3      highr_0.7         
## [73] gdtools_0.1.7      pillar_1.3.1       data.table_1.12.0  bitops_1.0-6       insight_0.1.2      httpuv_1.4.5.1    
## [79] R6_2.4.0           promises_1.0.1     gridExtra_2.3      rio_0.5.16         codetools_0.2-15   assertthat_0.2.0  
## [85] pkgmaker_0.27      withr_2.1.2        nortest_1.0-4      mgcv_1.8-26        hms_0.4.2          quadprog_1.5-5    
## [91] grid_3.5.2         rpart_4.1-13       timeDate_3043.102  class_7.3-14       rmarkdown_1.12     shiny_1.2.0       
## [97] lubridate_1.7.4